Publications

%0 Conference Proceedings %A Abboud, Amir %A Bringmann, Karl %A Fischer, Nick %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Stronger 3-SUM Lower Bounds for Approximate Distance Oracles via Additive Combinatorics : %G eng %U http://hdl.handle.net/21.11116/0000-000C-8C13-1 %D 2023 %B 55th Annual ACM Symposium on Theory of Computing %Z date of event: 2023-06-20 - 2023-06-23 %C Orlando, FL, USA %B Proceedings of the 55th Annual ACM Symposium on Theory of Computing %I ACM

%0 Conference Proceedings %A Ardra, P. S. %A Krithika, R. %A Saurabh, Saket %A Sharma, Roohani %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Balanced Substructures in Bicolored Graphs : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1D8F-4 %R 10.1007/978-3-031-23101-8_12 %D 2023 %B 48th International Conference on Current Trends in Theory and Practice of Computer Science %Z date of event: 2023-01-15 - 2023-01-18 %C Nový Smokovec, Slovakia %B SOFSEM 2023: Theory and Practice of Computer Science %E Gąsieniec, Leszek %P 177 - 191 %I Springer %@ 978-3-031-23100-1 %B Lecture Notes in Computer Science %N 13878 %U https://rdcu.be/c2Gfk

%0 Conference Proceedings %A Beck, Moritz %A Spoerhase, Joachim %A Storandt, Sabine %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Mind the Gap: Edge Facility Location Problems in Theory and Practice : %G eng %U http://hdl.handle.net/21.11116/0000-000C-992D-6 %R 10.1007/978-3-031-25211-2_25 %D 2023 %B 9th International Conference on Algorithms and Discrete Applied Mathematics %Z date of event: 2023-02-09 - 2023-02-11 %C Gandhinagar, India %B Algorithms and Discrete Applied Mathematics %E Bagchi, Amitabha; Muthu, Rahul %P 321 - 334 %I Springer %@ 978-3-031-25210-5 %B Lecture Notes in Computer Science %N 13947 %U https://rdcu.be/c5J8c

%0 Conference Proceedings %A Bhattacharya, Sayan %A Kiss, Peter %A Saranurak, Thatchaphol %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Sublinear Algorithms for (1.5+Epsilon)-Approximate Matching : %G eng %U http://hdl.handle.net/21.11116/0000-000C-9BA1-F %D 2023 %B 55th Annual ACM Symposium on Theory of Computing %Z date of event: 2023-06-20 - 2023-06-23 %C Orlando, FL, USA %B Proceedings of the 55th Annual ACM Symposium on Theory of Computing %I ACM

%0 Report %A Bhattacharya, Sayan %A Kiss, Peter %A Saranurak, Thatchaphol %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Dynamic (1.5+Epsilon)-Approximate Matching Size in Truly Sublinear Update Time : %G eng %U http://hdl.handle.net/21.11116/0000-000C-9BA8-8 %U https://arxiv.org/abs/2302.05030 %D 2023 %X We show a fully dynamic algorithm for maintaining $(1+\epsilon)$-approximate<br>\emph{size} of maximum matching of the graph with $n$ vertices and $m$ edges<br>using $m^{0.5-\Omega_{\epsilon}(1)}$ update time. This is the first polynomial<br>improvement over the long-standing $O(n)$ update time, which can be trivially<br>obtained by periodic recomputation. Thus, we resolve the value version of a<br>major open question of the dynamic graph algorithms literature (see, e.g.,<br>[Gupta and Peng FOCS'13], [Bernstein and Stein SODA'16],[Behnezhad and Khanna<br>SODA'22]).<br> Our key technical component is the first sublinear algorithm for $(1,\epsilon<br>n)$-approximate maximum matching with sublinear running time on dense graphs.<br>All previous algorithms suffered a multiplicative approximation factor of at<br>least $1.499$ or assumed that the graph has a very small maximum degree.<br> %K Computer Science, Data Structures and Algorithms, cs.DS

%0 Conference Proceedings %A Bhattacharya, Sayan %A Kiss, Peter %A Saranurak, Thatchaphol %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Dynamic Algorithms for Packing-Covering LPs via Multiplicative Weight : %G eng %U http://hdl.handle.net/21.11116/0000-000C-4333-F %R 10.1137/1.9781611977554.ch1 %D 2023 %B Annual ACM-SIAM Symposium on Discrete Algorithms %Z date of event: 2023-01-22 - 2023-01-25 %C Florence, Italy %B Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms %E Bansal, Nikhil; Nagarajan, Viswanath %P 1 - 47 %I SIAM %@ 978-1-61197-755-4

%0 Conference Proceedings %A Bhattacharya, Sayan %A Kiss, Peter %A Saranurak, Thatchaphol %A Wajc, David %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Dynamic Matching with Better-than-2 Approximation in Polylogarithmic Update Time : %G eng %U http://hdl.handle.net/21.11116/0000-000C-4336-C %R 10.1137/1.9781611977554.ch5 %D 2023 %B Annual ACM-SIAM Symposium on Discrete Algorithms %Z date of event: 2023-01-22 - 2023-01-25 %C Florence, Italy %B Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms %E Bansal, Nikhil; Nagarajan, Viswanath %P 100 - 128 %I SIAM %@ 978-1-61197-755-4

%0 Conference Proceedings %A Blikstad, Joakim %A Tu, Ta-Wei %A Nanongkai, Danupon %A Mukhopadhyay, Sagnik %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Fast Algorithms via Dynamic-Oracle Matroids : %G eng %U http://hdl.handle.net/21.11116/0000-000C-8C18-C %D 2023 %B 55th Annual ACM Symposium on Theory of Computing %Z date of event: 2023-06-20 - 2023-06-23 %C Orlando, FL, USA %B Proceedings of the 55th Annual ACM Symposium on Theory of Computing %I ACM

%0 Report %A Blikstad, Joakim %A Kiss, Peter %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Incremental (1 - &#949;)-approximate dynamic matching in O(poly(1/&#949;)) update time : %G eng %U http://hdl.handle.net/21.11116/0000-000C-A006-8 %U https://arxiv.org/abs/2302.08432 %D 2023 %X In the dynamic approximate maximum bipartite matching problem we are given<br>bipartite graph $G$ undergoing updates and our goal is to maintain a matching<br>of $G$ which is large compared the maximum matching size $\mu(G)$. We define a<br>dynamic matching algorithm to be $\alpha$ (respectively $(\alpha,<br>\beta)$)-approximate if it maintains matching $M$ such that at all times $|M |<br>\geq \mu(G) \cdot \alpha$ (respectively $|M| \geq \mu(G) \cdot \alpha -<br>\beta$).<br> We present the first deterministic $(1-\epsilon )$-approximate dynamic<br>matching algorithm with $O(poly(\epsilon ^{-1}))$ amortized update time for<br>graphs undergoing edge insertions. Previous solutions either required<br>super-constant [Gupta FSTTCS'14, Bhattacharya-Kiss-Saranurak SODA'23] or<br>exponential in $1/\epsilon $<br>[Grandoni-Leonardi-Sankowski-Schwiegelshohn-Solomon SODA'19] update time. Our<br>implementation is arguably simpler than the mentioned algorithms and its<br>description is self contained. Moreover, we show that if we allow for additive<br>$(1, \epsilon \cdot n)$-approximation our algorithm seamlessly extends to also<br>handle vertex deletions, on top of edge insertions. This makes our algorithm<br>one of the few small update time algorithms for $(1-\epsilon )$-approximate<br>dynamic matching allowing for updates both increasing and decreasing the<br>maximum matching size of $G$ in a fully dynamic manner.<br> %K Computer Science, Data Structures and Algorithms, cs.DS

%0 Journal Article %A Bria&#324;ski, Marcin %A Joret, Gwena&#235;l %A Majewski, Konrad %A Micek, Piotr %A Seweryn, Micha&#322; T. %A Sharma, Roohani %+ External Organizations External Organizations External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Treedepth Vs Circumference : %G eng %U http://hdl.handle.net/21.11116/0000-000C-8E4E-E %D 2023 %J Combinatorica %I Springer %C Heidelberg %@ false

%0 Conference Proceedings %A Bringmann, Karl %A Kapralov, Michael %A Makarov, Mikhail %A Nakos, Vasileios %A Yagudin, Amir %A Zandieh, Amir %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Traversing the FFT Computation Tree for Dimension-Independent Sparse Fourier Transforms : %G eng %U http://hdl.handle.net/21.11116/0000-000C-26DB-3 %R 10.1137/1.9781611977554.ch177 %D 2023 %B Annual ACM-SIAM Symposium on Discrete Algorithms %Z date of event: 2023-01-22 - 2023-01-25 %C Florence, Italy %B Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms %E Bansal, Nikhil; Nagarajan, Viswanath %P 4768 - 4845 %I SIAM %@ 978-1-61197-755-4

%0 Journal Article %A Bringmann, Karl %A Cohen-Addad, Vincent %A Das, Debarati %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T A Linear-Time n0.4-Approximation for Longest Common Subsequence : %G eng %U http://hdl.handle.net/21.11116/0000-000C-A7EC-E %R 10.1145/3568398 %7 2023 %D 2023 %J ACM Transactions on Algorithms %V 19 %N 1 %& 1 %P 1 - 24 %Z sequence number: 9 %I ACM %C New York, NY %@ false

%0 Conference Proceedings %A Coupette, Corinna %A Dalleiger, Sebastian %A Rieck, Bastian %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Ollivier-Ricci Curvature for Hypergraphs: A Unified Framework : %G eng %U http://hdl.handle.net/21.11116/0000-000C-10CD-B %D 2023 %B Eleventh International Conference on Learning Representations %Z date of event: 2023-05-01 - 2023-05-05 %C Kigali, Rwanda %X Bridging geometry and topology, curvature is a powerful and expressive invariant. While the utility of curvature has been theoretically and empirically confirmed in the context of manifolds and graphs, its generalization to the emerging domain of hypergraphs has remained largely unexplored. On graphs, Ollivier-Ricci curvature measures differences between random walks via Wasserstein distances, thus grounding a geometric concept in ideas from probability and optimal transport. We develop ORCHID, a flexible framework generalizing Ollivier-Ricci curvature to hypergraphs, and prove that the resulting curvatures have favorable theoretical properties. Through extensive experiments on synthetic and real-world hypergraphs from different domains, we demonstrate that ORCHID curvatures are both scalable and useful to perform a variety of hypergraph tasks in practice. %K Computer Science, Learning, cs.LG,cs.SI,Statistics, Machine Learning, stat.ML %B Eleventh International Conference on Learning Representations %I OpenReview.net %U https://openreview.net/forum?id=sPCKNl5qDps

%0 Conference Proceedings %A Das, Debarati %A Gilbert, Jacob %A Hajiaghayi, MohammadTaghi %A Kociumaka, Tomasz %A Saha, Barna %+ External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Weighted Edit Distance Computation: Strings, Trees, and Dyck : %G eng %U http://hdl.handle.net/21.11116/0000-000C-8B20-3 %D 2023 %B 55th Annual ACM Symposium on Theory of Computing %Z date of event: 2023-06-20 - 2023-06-23 %C Orlando, FL, USA %B Proceedings of the 55th Annual ACM Symposium on Theory of Computing %I ACM

%0 Conference Proceedings %A Dross, Fran&#231;ois %A Fleszar, Krzysztof %A W&#281;grzycki, Karol %A Zych-Pawlewicz, Anna %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Gap-ETH-Tight Approximation Schemes for Red-Green-Blue Separation and Bicolored Noncrossing Euclidean Travelling Salesman Tours : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1F6C-A %R 10.1137/1.9781611977554.ch52 %D 2023 %B Annual ACM-SIAM Symposium on Discrete Algorithms %Z date of event: 2023-01-22 - 2023-01-25 %C Florence, Italy %B Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms %E Bansal, Nikhil; Nagarajan, Viswanath %P 1433 - 1463 %I SIAM %@ 978-1-61197-755-4

%0 Journal Article %A Fallat, Shaun %A Kirkpatrick, David %A Simon, Hans U. %A Soltani, Abolghasem %A Zilles, Sandra %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T On Batch Teaching Without Collusion : %G eng %U http://hdl.handle.net/21.11116/0000-000C-7CCF-1 %U http://jmlr.org/papers/v24/22-0330.html %7 2023 %D 2023 %J Journal of Machine Learning Research %V 24 %& 1 %P 1 - 33 %I Microtome Publishing %C Brookline, MA %@ false

%0 Conference Proceedings %A Focke, Jacob %A Marx, D&#225;niel %A Inerney, Fionn Mc %A Neuen, Daniel %A Sankar, Govind S. %A Schepper, Philipp %A Wellnitz, Philip %+ External Organizations External Organizations External Organizations External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Tight Complexity Bounds for Counting Generalized Dominating Sets in Bounded-Treewidth Graphs : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1EA4-A %R 10.1137/1.9781611977554.ch140 %D 2023 %B Annual ACM-SIAM Symposium on Discrete Algorithms %Z date of event: 2023-01-22 - 2023-01-25 %C Florence, Italy %B Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms %E Bansal, Nikhil; Nagarajan, Viswanath %P 3664 - 3683 %I SIAM %@ 978-1-61197-755-4

%0 Report %A Gao, Yuan %A Kyng, Rasmus %A Spielman, Daniel A. %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Robust and Practical Solution of Laplacian Equations by Approximate Elimination : %G eng %U http://hdl.handle.net/21.11116/0000-000C-B1C8-A %U https://arxiv.org/abs/2303.00709 %D 2023 %X We introduce a new algorithm and software for solving linear equations in<br>symmetric diagonally dominant matrices with non-positive off-diagonal entries<br>(SDDM matrices), including Laplacian matrices. We use pre-conditioned conjugate<br>gradient (PCG) to solve the system of linear equations. Our preconditioner is a<br>variant of the Approximate Cholesky factorization of Kyng and Sachdeva (FOCS<br>2016). Our factorization approach is simple: we eliminate matrix rows/columns<br>one at a time and update the remaining matrix using sampling to approximate the<br>outcome of complete Cholesky factorization. Unlike earlier approaches, our<br>sampling always maintains a connectivity in the remaining non-zero structure.<br>Our algorithm comes with a tuning parameter that upper bounds the number of<br>samples made per original entry. We implement our algorithm in Julia, providing<br>two versions, AC and AC2, that respectively use 1 and 2 samples per original<br>entry. We compare their single-threaded performance to that of current<br>state-of-the-art solvers Combinatorial Multigrid (CMG),<br>BoomerAMG-preconditioned Krylov solvers from HyPre and PETSc, Lean Algebraic<br>Multigrid (LAMG), and MATLAB's with Incomplete Cholesky Factorization (ICC).<br>Our evaluation uses a broad class of problems, including all large SDDM<br>matrices from the SuiteSparse collection and diverse programmatically generated<br>instances. Our experiments suggest that our algorithm attains a level of<br>robustness and reliability not seen before in SDDM solvers, while retaining<br>good performance across all instances. Our code and data are public, and we<br>provide a tutorial on how to replicate our tests. We hope that others will<br>adopt this suite of tests as a benchmark, which we refer to as SDDM2023. Our<br>solver code is available at: https://github.com/danspielman/Laplacians.jl/ Our<br>benchmarking data and tutorial are available at:<br>https://rjkyng.github.io/SDDM2023/<br> %K Mathematics, Numerical Analysis, math.NA,Computer Science, Data Structures and Algorithms, cs.DS,Computer Science, Mathematical Software, cs.MS,Computer Science, Numerical Analysis, cs.NA

%0 Conference Proceedings %A Gionis, Aristides %A Khodamoradi, Kamyar %A Ordozgoiti, Bruno %A Riegel, Benedikt %A Spoerhase, Joachim %+ External Organizations External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T A Constant-Factor Approximation Algorithm for Reconciliation k-Median : %G eng %U http://hdl.handle.net/21.11116/0000-000C-739D-2 %D 2023 %B 26th International Conference on Artificial Intelligence and Statistics %Z date of event: 2023-04-25 - 2023-04-27 %C Valencia, Spain %B Proceedings of the 26th International Conference on Artificial Intelligence and Statistics %I PMLR %B Proceedings of the Machine Learning Research

%0 Conference Proceedings %A Goldenberg, Elazar %A Kociumaka, Tomasz %A Krauthgamer, Robert %A Saha, Barna %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T An Algorithmic Bridge Between Hamming and Levenshtein Distances : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1588-3 %R 10.4230/LIPIcs.ITCS.2023.58 %U urn:nbn:de:0030-drops-175615 %D 2023 %B 14th Innovations in Theoretical Computer Science Conference %Z date of event: 2023-01-10 - 2023-01-13 %C Cambridge, MA, USA %B 14th Innovations in Theoretical Computer Science Conference %E Tauman Kalai, Yael %P 1 - 23 %Z sequence number: 58 %I Schloss Dagstuhl %@ 978-3-95977-263-1 %B Leibniz International Proceedings in Informatics %U https://drops.dagstuhl.de/opus/volltexte/2023/17561/

%0 Conference Proceedings %A Goranci, Gramoz %A Henzinger, Monika %A Nanongkai, Danupon %A Saranurak, Thatchaphol %A Thorup, Mikkel %A Wulff, Christian %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations External Organizations %T Fully Dynamic Exact Edge Connectivity in Sublinear Time : %G eng %U http://hdl.handle.net/21.11116/0000-000C-9383-9 %R 10.1137/1.9781611977554.ch3 %D 2023 %B Annual ACM-SIAM Symposium on Discrete Algorithms %Z date of event: 2023-01-22 - 2023-01-25 %C Florence, Italy %B Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms %E Bansal, Nikhil; Nagarajan, Viswanath %P 70 - 86 %I SIAM %@ 978-1-61197-755-4 %U https://epubs.siam.org/doi/reader/10.1137/1.9781611977554.ch3

%0 Conference Proceedings %A Gouleakis, Themis %A Lakis, Konstantinos %A Shahkarami, Golnoosh %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Learning-Augmented Algorithms for Online TSP on the Line : %G eng %U http://hdl.handle.net/21.11116/0000-000C-466C-D %D 2023 %B 37th AAAI Conference on Artificial Intelligence %Z date of event: 2023-02-07 - 2023-02-14 %C Washington, DC, USA %B Proceedings of the 37th AAAI Conference on Artificial Intelligence %I AAAI

%0 Conference Proceedings %A Gutowski, Grzegorz %A Mittelst&#228;dt, Florian %A Rutter, Ignaz %A Spoerhase, Joachim %A Wolff, Alexander %A Zink, Johannes %+ External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Coloring Mixed and Directional Interval Graphs : %G eng %U http://hdl.handle.net/21.11116/0000-000C-26A4-0 %R 10.1007/978-3-031-22203-0_30 %D 2023 %B 30th International Symposium on Graph Drawing and Network Visualization %Z date of event: 2022-09-13 - 2022-09-16 %C Tokyo, Japan %B Graph Drawing and Network Visualization %E Angelini, Patrizio; von Hanxleden, Reinhard %P 418 - 431 %I Springer %@ 978-3-031-22202-3 %B Lecture Notes in Computer Science %N 13764

%0 Conference Proceedings %A Hatzel, Meike %A Jaffke, Lars %A Lima, Paloma T. %A Masa&#345;&#237;k, Tom&#225;&#353; %A Pilipczuk, Marcin %A Sharma, Roohani %A Sorge, Manuel %+ External Organizations External Organizations External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Fixed-Parameter Tractability of Directed Multicut with Three Terminal Pairs Parameterized by the Size of the Cutset: Twin-width Meets Flow-Augmentation : %G eng %U http://hdl.handle.net/21.11116/0000-000C-8E4C-0 %R 10.1137/1.9781611977554.ch123 %D 2023 %B Annual ACM-SIAM Symposium on Discrete Algorithms %Z date of event: 2023-01-22 - 2023-01-25 %C Florence, Italy %B Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms %E Bansal, Nikhil; Nagarajan, Viswanath %P 3229 - 3244 %I SIAM %@ 978-1-61197-755-4

%0 Conference Proceedings %A Jiang, Yonggang %A Mukhopadhyay, Sagnik %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Finding a Small Vertex Cut on Distributed Networks : %G eng %U http://hdl.handle.net/21.11116/0000-000C-947A-4 %D 2023 %B 55th Annual ACM Symposium on Theory of Computing %Z date of event: 2023-06-20 - 2023-06-23 %C Orlando, FL, USA %B Proceedings of the 55th Annual ACM Symposium on Theory of Computing %I ACM

%0 Conference Proceedings %A Kempa, Dominik %A Kociumaka, Tomasz %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Breaking the O(n)-Barrier in the Construction of Compressed Suffix Arrays : %G eng %U http://hdl.handle.net/21.11116/0000-000C-158F-C %R 10.1137/1.9781611977554.ch187 %D 2023 %B Annual ACM-SIAM Symposium on Discrete Algorithms %Z date of event: 2023-01-22 - 2023-01-25 %C Florence, Italy %B Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms %E Bansal, Nikhil; Nagarajan, Viswanath %P 5122 - 5202 %I SIAM %@ 978-1-61197-755-4

%0 Journal Article %A Kleer, Pieter %A Simon, Hans U. %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Primal and Dual Combinatorial Dimensions : %G eng %U http://hdl.handle.net/21.11116/0000-000C-15FE-F %R 10.1016/j.dam.2022.11.010 %7 2023 %D 2023 %J Discrete Applied Mathematics %V 327 %& 185 %P 185 - 196 %I Elsevier %C Amsterdam %@ false

%0 Conference Proceedings %A Li, Jason %A Nanongkai, Danupon %A Panigrahi, Debmalya %A Saranurak, Thatchaphol %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Near-Linear Time Approximations for Cut Problems via Fair Cuts : %G eng %U http://hdl.handle.net/21.11116/0000-000C-9381-B %R 10.1137/1.9781611977554.ch10 %D 2023 %B Annual ACM-SIAM Symposium on Discrete Algorithms %Z date of event: 2023-01-22 - 2023-01-25 %C Florence, Italy %B Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms %E Bansal, Nikhil; Nagarajan, Viswanath %P 240 - 257 %I SIAM %@ 978-1-61197-755-4 %U https://epubs.siam.org/doi/pdf/10.1137/1.9781611977554.ch10?download=true

%0 Conference Proceedings %A Mazowiecki, Filip %A Sinclair-Banks, Henry %A W&#281;grzycki, Karol %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Coverability in 2-VASS with One Unary Counter is in NP : Coverability in 2-{VASS} with One Unary Counter is in {NP} %G eng %U http://hdl.handle.net/21.11116/0000-000C-4678-F %D 2023 %B 26th International Conference on Foundations of Software Science and Computation Structures %Z date of event: 2023-04-22 - 2023-04-27 %C Paris, France %B 26th International Conference on Foundations of Software Science and Computation Structures %I Springer

%0 Journal Article %A Misra, Pranabendu %A Saket, Saurabh %A Sharma, Roohani %A Zehavi, Meirav %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Sub-exponential Time Parameterized Algorithms for Graph Layout Problems on Digraphs with Bounded Independence Number : %G eng %U http://hdl.handle.net/21.11116/0000-000C-9037-3 %R 10.1007/s00453-022-01093-w %7 2023 %D 2023 %J Algorithmica %I Springer-Verlag %C New York %@ false

%0 Conference Proceedings %A Olkowski, J&#281;drzej %A Pilipczuk, Micha&#322; %A Rychlicki, Mateusz %A W&#281;grzycki, Karol %A Zych-Pawlewicz, Anna %+ External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Dynamic Data Structures for Parameterized String Problems : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1F0E-4 %R 10.4230/LIPIcs.STACS.2023.50 %U urn:nbn:de:0030-drops-177026 %D 2023 %B 40th International Symposium on Theoretical Aspects of Computer Science %Z date of event: 2023-03-07 - 2023-03-09 %C Hamburg, Germany %B 40th International Symposium on Theoretical Aspects of Computer Science %E Berenbrink, Petra; Bouyer, Patricia; Dawar, Anuj; Kant&#233;, Mamadou Moustapha %P 1 - 22 %Z sequence number: 50 %I Schloss Dagstuhl %@ 978-3-95977-266-2 %B Leibniz International Proceedings in Informatics %N 254 %@ false

%0 Conference Proceedings %A Simon, Hans U. %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Tournaments, Johnson Graphs, and NC-Teaching : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1606-5 %D 2023 %B The 34th International Conference on Algorithmic Learning Theory %Z date of event: 2023-02-20 - 2023-02-23 %C Singapore, Singapore %B Proceedings of the 34th International Conference on Algorithmic Learning Theory %E Agrawal, Shipra; Orabona, Francesco %P 1411 - 1428 %I PMLR %B Proceedings of the Machine Learning Research %N 201

%0 Report %A Zandieh, Amir %A Han, Insu %A Daliri, Majid %A Karbasi, Amin %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations External Organizations %T KDEformer: Accelerating Transformers via Kernel Density Estimation : %G eng %U http://hdl.handle.net/21.11116/0000-000C-90F7-A %U https://arxiv.org/abs/2302.02451 %D 2023 %X Dot-product attention mechanism plays a crucial role in modern deep<br>architectures (e.g., Transformer) for sequence modeling, however, na\"ive exact<br>computation of this model incurs quadratic time and memory complexities in<br>sequence length, hindering the training of long-sequence models. Critical<br>bottlenecks are due to the computation of partition functions in the<br>denominator of softmax function as well as the multiplication of the softmax<br>matrix with the matrix of values. Our key observation is that the former can be<br>reduced to a variant of the kernel density estimation (KDE) problem, and an<br>efficient KDE solver can be further utilized to accelerate the latter via<br>subsampling-based fast matrix products. Our proposed KDEformer can approximate<br>the attention in sub-quadratic time with provable spectral norm bounds, while<br>all prior results merely provide entry-wise error bounds. Empirically, we<br>verify that KDEformer outperforms other attention approximations in terms of<br>accuracy, memory, and runtime on various pre-trained models. On BigGAN image<br>generation, we achieve better generative scores than the exact computation with<br>over $4\times$ speedup. For ImageNet classification with T2T-ViT, KDEformer<br>shows over $18\times$ speedup while the accuracy drop is less than $0.5\%$.<br> %K Computer Science, Learning, cs.LG,Computer Science, Computer Vision and Pattern Recognition, cs.CV,Computer Science, Data Structures and Algorithms, cs.DS

%0 Conference Proceedings %A Abboud, Amir %A Bringmann, Karl %A Khoury, Seri %A Zamir, Or %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Hardness of Approximation in p via Short Cycle Removal: Cycle Detection, Distance Oracles, and Beyond : %G eng %U http://hdl.handle.net/21.11116/0000-000B-4797-B %R 10.1145/3519935.3520066 %D 2022 %B 54th Annual ACM Symposium on Theory of Computing %Z date of event: 2022-06-20 - 2022-06-24 %C Rome, Italy %B STOC '22 %E Leonardi, Stefano; Gupta, Anupam %P 1487 - 1500 %I ACM %@ 978-1-4503-9264-8

%0 Journal Article %A Abboud, Amir %A Bringmann, Karl %A Hermelin, Danny %A Shabtay, Dvir %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Scheduling Lower Bounds via AND Subset Sum : %G eng %U http://hdl.handle.net/21.11116/0000-000B-153C-B %R 10.1016/j.jcss.2022.01.005 %7 2022 %D 2022 %J Journal of Computer and System Sciences %V 127 %& 29 %P 29 - 40 %I Elsevier %C Amsterdam %@ false

%0 Journal Article %A Abboud, Amir %A Bringmann, Karl %A Hermelin, Danny %A Shabtay, Dvir %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T SETH-Based Lower Bounds for Subset Sum and Bicriteria Path : %G eng %U http://hdl.handle.net/21.11116/0000-000B-1543-2 %R 10.1145/3450524 %7 2022 %D 2022 %J ACM Transactions on Algorithms %V 18 %N 1 %& 1 %P 1 - 22 %Z sequence number: 6 %I ACM %C New York, NY %@ false

%0 Journal Article %A Agrawal, Akanksha %A Lokshtanov, Daniel %A Misra, Pranabendu %A Saurabh, Saket %A Zehavi, Meirav %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Erd&#337;s&#8211;P&#243;sa Property of Obstructions to Interval Graphs : %G eng %U http://hdl.handle.net/21.11116/0000-000B-589A-5 %R 10.1002/jgt.22895 %7 2022 %D 2022 %J Journal of Graph Theory %V 102 %N 4 %& 702 %P 702 - 727 %I John Wiley & Sons. %C New York %@ false

%0 Report %A Akrami, Hannaneh %A Alon, Noga %A Ray Chaudhury, Bhaskar %A Garg, Jugal %A Mehlhorn, Kurt %A Mehta, Ruta %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T EFX Allocations: Simplifications and Improvements : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1FEB-A %U https://arxiv.org/abs/2205.07638 %D 2022 %X The existence of EFX allocations is a fundamental open problem in discrete<br>fair division. Given a set of agents and indivisible goods, the goal is to<br>determine the existence of an allocation where no agent envies another<br>following the removal of any single good from the other agent's bundle. Since<br>the general problem has been illusive, progress is made on two fronts: $(i)$<br>proving existence when the number of agents is small, $(ii)$ proving existence<br>of relaxations of EFX. In this paper, we improve results on both fronts (and<br>simplify in one of the cases).<br> We prove the existence of EFX allocations with three agents, restricting only<br>one agent to have an MMS-feasible valuation function (a strict generalization<br>of nice-cancelable valuation functions introduced by Berger et al. which<br>subsumes additive, budget-additive and unit demand valuation functions). The<br>other agents may have any monotone valuation functions. Our proof technique is<br>significantly simpler and shorter than the proof by Chaudhury et al. on<br>existence of EFX allocations when there are three agents with additive<br>valuation functions and therefore more accessible.<br> Secondly, we consider relaxations of EFX allocations, namely, approximate-EFX<br>allocations and EFX allocations with few unallocated goods (charity). Chaudhury<br>et al. showed the existence of $(1-\epsilon)$-EFX allocation with<br>$O((n/\epsilon)^{\frac{4}{5}})$ charity by establishing a connection to a<br>problem in extremal combinatorics. We improve their result and prove the<br>existence of $(1-\epsilon)$-EFX allocations with $\tilde{O}((n/<br>\epsilon)^{\frac{1}{2}})$ charity. In fact, some of our techniques can be used<br>to prove improved upper-bounds on a problem in zero-sum combinatorics<br>introduced by Alon and Krivelevich.<br> %K Computer Science, Computer Science and Game Theory, cs.GT

%0 Conference Proceedings %A Akrami, Hannaneh %A Ray Chaudhury, Bhaskar %A Hoefer, Martin %A Mehlhorn, Kurt %A Schmalhofer, Marco %A Shahkarami, Golnoosh %A Varricchio, Giovanna %A Vermande, Quentin %A van Wijland, Ernest %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations External Organizations %T Maximizing Nash Social Welfare in 2-Value Instances : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1FC6-3 %R 10.1609/aaai.v36i5.20402 %D 2022 %B 36th AAAI Conference on Artificial Intelligence %Z date of event: 2022-02-22 - 2022-03-01 %C Virtual Conference %B Proceedings of the 36th AAAI Conference on Artificial Intelligence %P 4760 - 4767 %I AAAI %@ 978-1-57735-876-3 %U https://ojs.aaai.org/index.php/AAAI/article/view/20402

%0 Report %A Akrami, Hannaneh %A Ray Chaudhury, Bhaskar %A Hoefer, Martin %A Mehlhorn, Kurt %A Schmalhofer, Marco %A Shahkarami, Golnoosh %A Varricchio, Giovanna %A Vermande, Quentin %A van Wijland, Ernest %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations External Organizations %T Maximizing Nash Social Welfare in 2-Value Instances: The Half-Integer Case : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1FD5-2 %U https://arxiv.org/abs/2207.10949 %D 2022 %X We consider the problem of maximizing the Nash social welfare when allocating<br>a set $G$ of indivisible goods to a set $N$ of agents. We study instances, in<br>which all agents have 2-value additive valuations: The value of a good $g \in<br>G$ for an agent $i \in N$ is either $1$ or $s$, where $s$ is an odd multiple of<br>$\frac{1}{2}$ larger than one. We show that the problem is solvable in<br>polynomial time. Akrami et at. showed that this problem is solvable in<br>polynomial time if $s$ is integral and is NP-hard whenever $s = \frac{p}{q}$,<br>$p \in \mathbb{N}$ and $q\in \mathbb{N}$ are co-prime and $p > q \ge 3$. For<br>the latter situation, an approximation algorithm was also given. It obtains an<br>approximation ratio of at most $1.0345$. Moreover, the problem is APX-hard,<br>with a lower bound of $1.000015$ achieved at $\frac{p}{q} = \frac{5}{4}$. The<br>case $q = 2$ and odd $p$ was left open.<br> In the case of integral $s$, the problem is separable in the sense that the<br>optimal allocation of the heavy goods (= value $s$ for some agent) is<br>independent of the number of light goods (= value $1$ for all agents). This<br>leads to an algorithm that first computes an optimal allocation of the heavy<br>goods and then adds the light goods greedily. This separation no longer holds<br>for $s = \frac{3}{2}$; a simple example is given in the introduction. Thus an<br>algorithm has to consider heavy and light goods together. This complicates<br>matters considerably. Our algorithm is based on a collection of improvement<br>rules that transfers any allocation into an optimal allocation and exploits a<br>connection to matchings with parity constraints.<br> %K Computer Science, Computer Science and Game Theory, cs.GT

%0 Conference Proceedings %A Akrami, Hannaneh %A Rezvan, Rojin %A Seddighin, Masoud %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T An EF2X Allocation Protocol for Restricted Additive Valuations : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1FFA-9 %R 10.24963/ijcai.2022/3 %D 2022 %B Thirty-First International Joint Conference on Artificial Intelligence %Z date of event: 2022-07-23 - 2022-07-29 %C Vienna, Austria %B Proceedings of the Thirty-First International Joint Conference on Artificial Intelligence %E de Raedt, Luc %P 17 - 23 %I IJCAI %@ 978-1-956792-00-3

%0 Report %A Akrami, Hannaneh %A Rezvan, Rojin %A Seddighin, Masoud %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T An EF2X Allocation Protocol for Restricted Additive Valuations : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1FF3-0 %U https://arxiv.org/abs/2202.13676 %D 2022 %X We study the problem of fairly allocating a set of $m$ indivisible goods to a<br>set of $n$ agents. Envy-freeness up to any good (EFX) criteria -- which<br>requires that no agent prefers the bundle of another agent after removal of any<br>single good -- is known to be a remarkable analogous of envy-freeness when the<br>resource is a set of indivisible goods. In this paper, we investigate EFX<br>notion for the restricted additive valuations, that is, every good has some<br>non-negative value, and every agent is interested in only some of the goods.<br> We introduce a natural relaxation of EFX called EFkX which requires that no<br>agent envies another agent after removal of any $k$ goods. Our main<br>contribution is an algorithm that finds a complete (i.e., no good is discarded)<br>EF2X allocation for the restricted additive valuations. In our algorithm we<br>devise new concepts, namely "configuration" and "envy-elimination" that might<br>be of independent interest.<br> We also use our new tools to find an EFX allocation for restricted additive<br>valuations that discards at most $\lfloor n/2 \rfloor -1$ goods. This improves<br>the state of the art for the restricted additive valuations by a factor of $2$.<br> %K Computer Science, Computer Science and Game Theory, cs.GT

%0 Journal Article %A Amanatidis, Georgios %A Kleer, Pieter %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Rapid Mixing of the Switch Markov Chain for 2-Class Joint Degree Matrices : %G eng %U http://hdl.handle.net/21.11116/0000-000A-567A-D %R 10.1137/20M1352697 %7 2022 %D 2022 %J SIAM Journal on Discrete Mathematics %V 36 %N 1 %& 118 %P 118 - 146 %I The Society %C Philadelphia, Pa. %@ false

%0 Journal Article %A Amiri, Saeed Akhoondian %A Wiederhake, Ben %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Distributed Distance-r Dominating Set on Sparse High-Girth Graphs : %G eng %U http://hdl.handle.net/21.11116/0000-000A-9DFE-8 %R 10.1016/j.tcs.2022.01.001 %7 2022 %D 2022 %J Theoretical Computer Science %V 906 %& 18 %P 18 - 31 %I Elsevier %C Amsterdam %@ false

%0 Conference Proceedings %A Anagnostides, Ioannis %A Lenzen, Christoph %A Haeupler, Bernhard %A Zuzic, Goran %A Gouleakis, Themis %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Almost Universally Optimal Distributed Laplacian Solvers via Low-Congestion Shortcuts : %G eng %U http://hdl.handle.net/21.11116/0000-000C-7314-C %R 10.4230/LIPIcs.DISC.2022.6 %U urn:nbn:de:0030-drops-171978 %D 2022 %B 36th International Symposium on Distributed Computing %Z date of event: 2022-10-25 - 2022-10-27 %C Augusta, GA, USA %B 36th International Symposium on Distributed Computing %E Scheideler, Christian %P 1 - 20 %Z sequence number: 6 %I Schloss Dagstuhl %@ 978-3-95977-210-5 %B Leibniz International Proceedings in Informatics %N 246 %@ false %U https://drops.dagstuhl.de/opus/volltexte/2022/17197/https://creativecommons.org/licenses/by/4.0/legalcode

%0 Journal Article %A An, Haozhe %A Gurumukhani, Mohit %A Impagliazzo, Russell %A Jaber, Michael %A K&#252;nnemann, Marvin %A Parga Nina, Maria Paula %+ External Organizations External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T The Fine-Grained Complexity of Multi-Dimensional Ordering Properties : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1F9C-3 %R 10.1007/s00453-022-01014-x %7 2022 %D 2022 %J Algorithmica %V 84 %& 3156 %P 3156 - 3191 %I Springer-Verlag %C New York %@ false

%0 Conference Proceedings %A Antoniadis, Antonios %A Jabbarzade, Peyman %A Shahkarami, Golnoosh %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T A Novel Prediction Setup for Online Speed-Scaling : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1FBA-1 %R 10.4230/LIPIcs.SWAT.2022.9 %U urn:nbn:de:0030-drops-161693 %U https://drops.dagstuhl.de/opus/volltexte/2022/16169/ %D 2022 %B 18th Scandinavian Symposium and Workshops on Algorithm Theory %Z date of event: 2022-06-27 - 2022-06-29 %C T&#243;rshavn, Faroe Islands %B 18th Scandinavian Symposium and Workshops on Algorithm Theory %E Czumai, Artur; Xin, Qin %P 1 - 20 %Z sequence number: 9 %I Schloss Dagstuhl %@ 978-3-95977-236-5 %B Leibniz International Proceedings in Informatics %N 227 %@ false

%0 Report %A Antoniadis, Antonios %A Jabbarzade Ganje, Peyman %A Shahkarami, Golnoosh %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T A Novel Prediction Setup for Online Speed-Scaling : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1FBE-D %U https://arxiv.org/abs/2112.03082 %D 2022 %X Given the rapid rise in energy demand by data centers and computing systems<br>in general, it is fundamental to incorporate energy considerations when<br>designing (scheduling) algorithms. Machine learning can be a useful approach in<br>practice by predicting the future load of the system based on, for example,<br>historical data. However, the effectiveness of such an approach highly depends<br>on the quality of the predictions and can be quite far from optimal when<br>predictions are sub-par. On the other hand, while providing a worst-case<br>guarantee, classical online algorithms can be pessimistic for large classes of<br>inputs arising in practice.<br> This paper, in the spirit of the new area of machine learning augmented<br>algorithms, attempts to obtain the best of both worlds for the classical,<br>deadline based, online speed-scaling problem: Based on the introduction of a<br>novel prediction setup, we develop algorithms that (i) obtain provably low<br>energy-consumption in the presence of adequate predictions, and (ii) are robust<br>against inadequate predictions, and (iii) are smooth, i.e., their performance<br>gradually degrades as the prediction error increases.<br> %K Computer Science, Data Structures and Algorithms, cs.DS,Computer Science, Learning, cs.LG

%0 Conference Proceedings %A Apers, Simon %A Efron, Yuval %A Gawrychowski, Pawe&#322; %A Lee, Troy %A Mukhopadhyay, Sagnik %A Nanongkai, Danupon %+ External Organizations External Organizations External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Cut Query Algorithms with Star Contraction : %G eng %U http://hdl.handle.net/21.11116/0000-000C-26C5-B %R 10.1109/FOCS54457.2022.00055 %D 2022 %B IEEE 63rd Annual Symposium on Foundations of Computer Science %Z date of event: 2022-10-31 - 2022-11-03 %C Denver, CO, USA %B FOCS 2022 %P 507 - 518 %I IEEE %@ 978-1-6654-5519-0

%0 Conference Proceedings %A Banyassady, Bahareh %A de Berg, Mark %A Bringmann, Karl %A Buchin, Kevin %A Fernau, Henning %A Halperin, Dan %A Kostitsyna, Irina %A Okamoto, Yoshio %A Slot, Stijn %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations External Organizations External Organizations External Organizations External Organizations %T Unlabeled Multi-Robot Motion Planning with Tighter Separation Bounds : %G eng %U http://hdl.handle.net/21.11116/0000-000B-1553-0 %R 10.4230/LIPIcs.SoCG.2022.12 %U urn:nbn:de:0030-drops-160203 %D 2022 %B 38th International Symposium on Computational Geometry %Z date of event: 2022-06-07 - 2022-06-10 %C Berlin, Germany %B 38th International Symposium on Computational Geometry %E Goaoc, Xavier; Kerber, Michael %P 1 - 16 %Z sequence number: 12 %I Schloss Dagstuhl %@ 978-3-95977-227-3 %B Leibniz International Proceedings in Informatics %N 224 %@ false

%0 Journal Article %A Beier, Ren&#233; %A R&#246;glin, Heiko %A R&#246;sner, Clemens %A V&#246;cking, Berthold %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations External Organizations %T The Smoothed Number of Pareto-optimal Solutions in Bicriteria Integer Optimization : %G eng %U http://hdl.handle.net/21.11116/0000-000B-58A2-B %R 10.1007/s10107-022-01885-6 %7 2022 %D 2022 %J Mathematical Programming / A %I Springer %C Heidelberg %@ false

%0 Conference Proceedings %A Bernstein, Aaron %A Nanongkai, Danupon %A Wulff-Nilsen, Christian %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Negative-Weight Single-Source Shortest Paths in Near-linear Time : %G eng %U http://hdl.handle.net/21.11116/0000-000C-26C9-7 %R 10.1109/FOCS54457.2022.00063 %D 2022 %B IEEE 63rd Annual Symposium on Foundations of Computer Science %Z date of event: 2022-10-31 - 2022-11-03 %C Denver, CO, USA %B FOCS 2022 %P 600 - 611 %I IEEE %@ 978-1-6654-5519-0

%0 Report %A Bhattacharya, Sayan %A Kiss, Peter %A Saranurak, Thatchaphol %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Sublinear Algorithms for (1.5+Epsilon)-Approximate Matching : %G eng %U http://hdl.handle.net/21.11116/0000-000C-2696-0 %U https://arxiv.org/abs/2212.00189 %D 2022 %X We study sublinear time algorithms for estimating the size of maximum<br>matching. After a long line of research, the problem was finally settled by<br>Behnezhad [FOCS'22], in the regime where one is willing to pay an approximation<br>factor of $2$. Very recently, Behnezhad et al.[SODA'23] improved the<br>approximation factor to $(2-\frac{1}{2^{O(1/\gamma)}})$ using $n^{1+\gamma}$<br>time. This improvement over the factor $2$ is, however, minuscule and they<br>asked if even $1.99$-approximation is possible in $n^{2-\Omega(1)}$ time. We<br>give a strong affirmative answer to this open problem by showing<br>$(1.5+\epsilon)$-approximation algorithms that run in<br>$n^{2-\Theta(\epsilon^{2})}$ time. Our approach is conceptually simple and<br>diverges from all previous sublinear-time matching algorithms: we show a<br>sublinear time algorithm for computing a variant of the edge-degree constrained<br>subgraph (EDCS), a concept that has previously been exploited in dynamic<br>[Bernstein Stein ICALP'15, SODA'16], distributed [Assadi et al. SODA'19] and<br>streaming [Bernstein ICALP'20] settings, but never before in the sublinear<br>setting. Independent work: Behnezhad, Roghani and Rubinstein [BRR'23]<br>independently showed sublinear algorithms similar to our Theorem 1.2 in both<br>adjacency list and matrix models. Furthermore, in [BRR'23], they show<br>additional results on strictly better-than-1.5 approximate matching algorithms<br>in both upper and lower bound sides.<br> %K Computer Science, Data Structures and Algorithms, cs.DS

%0 Conference Proceedings %A Blikstad, Joakim %A Brand, Jan Van Den %A Efron, Yuval %A Mukhopadhyay, Sagnik %A Nanongkai, Danupon %+ External Organizations External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Nearly Optimal Communication and Query Complexity of Bipartite Matching : %G eng %U http://hdl.handle.net/21.11116/0000-000C-26CF-1 %R 10.1109/FOCS54457.2022.00113 %D 2022 %B IEEE 63rd Annual Symposium on Foundations of Computer Science %Z date of event: 2022-10-31 - 2022-11-03 %C Denver, CO, USA %B FOCS 2022 %P 1174 - 1185 %I IEEE %@ 978-1-6654-5519-0

%0 Journal Article %A Bonifaci, Vincenzo %A Facca, Enrico %A Folz, Frederic %A Karrenbauer, Andreas %A Kolev, Pavel %A Mehlhorn, Kurt %A Morigi, Giovanna %A Shahkarami, Golnoosh %A Vermande, Quentin %+ External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Physarum-inspired Multi-commodity Flow Dynamics : %G eng %U http://hdl.handle.net/21.11116/0000-000A-28A1-3 %R 10.1016/j.tcs.2022.02.001 %7 2022 %D 2022 %J Theoretical Computer Science %V 920 %& 1 %P 1 - 20 %I Elsevier %C Amsterdam %@ false

%0 Conference Proceedings %A Boodaghians, Shant %A Ray Chaudhury, Bhaskar %A Mehta, Ruta %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Polynomial Time Algorithms to Find an Approximate Competitive Equilibrium for Chores : %G eng %U http://hdl.handle.net/21.11116/0000-000C-A3BB-9 %R 10.1137/1.9781611977073 %D 2022 %B Thirty-Third Annual ACM-SIAM Symposium on Discrete Algorithms %Z date of event: 2022-01-09 - 2022-01-12 %C Virtual %B Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms %E Naor, Seffi; Buchbinder, Niv %P 2285 - 2302 %I SIAM %@ 978-1-61197-707-3

%0 Report %A Bria&#324;ski, Marcin %A Joret, Gwena&#235;l %A Majewski, Konrad %A Micek, Piotr %A Seweryn, Micha&#322; T. %A Sharma, Roohani %+ External Organizations External Organizations External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Treedepth Vs Circumference : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1E81-1 %U https://arxiv.org/abs/2211.11410 %D 2022 %X The circumference of a graph $G$ is the length of a longest cycle in $G$, or<br>$+\infty$ if $G$ has no cycle. Birmel\'e (2003) showed that the treewidth of a<br>graph $G$ is at most its circumference minus one. We strengthen this result for<br>$2$-connected graphs as follows: If $G$ is $2$-connected, then its treedepth is<br>at most its circumference. The bound is best possible and improves on an<br>earlier quadratic upper bound due to Marshall and Wood (2015).<br> %K Mathematics, Combinatorics, math.CO,Computer Science, Discrete Mathematics, cs.DM

%0 Conference Proceedings %A Bringmann, Karl %A Cassis, Alejandro %A Fischer, Nick %A Nakos, Vasileios %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Almost-Optimal Sublinear-Time Edit Distance in the Low Distance Regime : %G eng %U http://hdl.handle.net/21.11116/0000-000B-588D-4 %R 10.1145/3519935.3519990 %D 2022 %B 54th Annual ACM Symposium on Theory of Computing %Z date of event: 2022-06-20 - 2022-06-24 %C Rome, Italy %B STOC '22 %E Leonardi, Stefano; Gupta, Anupam %P 1102 - 1115 %I ACM %@ 978-1-4503-9264-8

%0 Conference Proceedings %A Bringmann, Karl %A Driemel, Anne %A Nusser, Andr&#233; %A Psarros, Ioannis %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Tight Bounds for Approximate Near Neighbor Searching for Time Series under the Fr&#233;chet Distance : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1D7D-9 %R 10.1137/1.9781611977073.25 %D 2022 %B Thirty-Third Annual ACM-SIAM Symposium on Discrete Algorithms %Z date of event: 2022-01-09 - 2022-01-12 %C Virtual %B Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms %E Naor, Seffi; Buchbinder, Niv %P 517 - 550 %I SIAM %@ 978-1-61197-707-3

%0 Conference Proceedings %A Bringmann, Karl %A Fischer, Nick %A Nakos, Vasileios %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Deterministic and Las Vegas Algorithms for Sparse Nonnegative Convolution : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1D81-2 %R 10.1137/1.9781611977073.119 %D 2022 %B Thirty-Third Annual ACM-SIAM Symposium on Discrete Algorithms %Z date of event: 2022-01-09 - 2022-01-12 %C Virtual %B Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms %E Naor, Seffi; Buchbinder, Niv %P 3069 - 3090 %I SIAM %@ 978-1-61197-707-3

%0 Journal Article %A Bringmann, Karl %A Keusch, Ralph %A Lengler, Johannes %A Maus, Yannic %A Molla, Anisur Rahaman %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations External Organizations External Organizations %T Greedy Routing and the Algorithmic Small-World Phenomenon : %G eng %U http://hdl.handle.net/21.11116/0000-000A-9DD0-A %R 10.1016/j.jcss.2021.11.003 %7 2022 %D 2022 %J Journal of Computer and System Sciences %V 125 %& 59 %P 59 - 105 %I Elsevier %C Amsterdam %@ false

%0 Journal Article %A Bringmann, Karl %A Fischer, Nick %A Hermelin, Danny %A Shabtay, Dvir %A Wellnitz, Philip %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Faster Minimization of Tardy Processing Time on a Single Machine : %G eng %U http://hdl.handle.net/21.11116/0000-0009-FAD4-E %R 10.1007/s00453-022-00928-w %7 2022 %D 2022 %J Algorithmica %V 84 %& 1341 %P 1341 - 1356 %I Springer %C New York %@ false %U https://rdcu.be/cG2A9

%0 Conference Proceedings %A Bringmann, Karl %A Kisfaludi-Bak, S&#225;ndor %A K&#252;nnemann, Marvin %A Marx, D&#225;niel %A Nusser, Andr&#233; %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations External Organizations External Organizations %T Dynamic Time Warping Under Translation: Approximation Guided by Space-Filling Curves : %G eng %U http://hdl.handle.net/21.11116/0000-000B-1560-1 %R 10.4230/LIPIcs.SoCG.2022.20 %U urn:nbn:de:0030-drops-160287 %D 2022 %B 38th International Symposium on Computational Geometry %Z date of event: 2022-06-07 - 2022-06-10 %C Berlin, Germany %B 38th International Symposium on Computational Geometry %E Goaoc, Xavier; Kerber, Michael %P 1 - 17 %Z sequence number: 20 %I Schloss Dagstuhl %@ 978-3-95977-227-3 %B Leibniz International Proceedings in Informatics %N 224 %@ false

%0 Conference Proceedings %A Bringmann, Karl %A Kisfaludi-Bak, S&#225;ndor %A K&#252;nnemann, Marvin %A Nusser, Andr&#233; %A Parsaeian, Zahra %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Towards Sub-Quadratic Diameter Computation in Geometric Intersection Graphs : %G eng %U http://hdl.handle.net/21.11116/0000-000B-1572-D %R 10.4230/LIPIcs.SoCG.2022.21 %U urn:nbn:de:0030-drops-160294 %D 2022 %B 38th International Symposium on Computational Geometry %Z date of event: 2022-06-07 - 2022-06-10 %C Berlin, Germany %B 38th International Symposium on Computational Geometry %E Goaoc, Xavier; Kerber, Michael %P 1 - 16 %Z sequence number: 21 %I Schloss Dagstuhl %@ 978-3-95977-227-3 %B Leibniz International Proceedings in Informatics %N 224 %@ false

%0 Conference Proceedings %A Bringmann, Karl %A Cassis, Alejandro %A Fischer, Nick %A K&#252;nnemann, Marvin %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T A Structural Investigation of the Approximability of Polynomial-Time Problems : %G eng %U http://hdl.handle.net/21.11116/0000-000B-15B5-1 %R 10.4230/LIPIcs.ICALP.2022.30 %U urn:nbn:de:0030-drops-163713 %D 2022 %B 49th International Colloquium on Automata, Languages, and Programming %Z date of event: 2022-07-04 - 2022-07-08 %C Paris, France %B 49th EATCS International Conference on Automata, Languages, and Programming %E Boja&#324;czyk, Miko&#322;aj; Merelli, Emanuela; Woodruff, David P. %P 1 - 20 %Z sequence number: 30 %I Schloss Dagstuhl %@ 978-3-95977-235-8} %B Leibniz International Proceedings in Informatics %N 229

%0 Conference Proceedings %A Bringmann, Karl %A Cassis, Alejandro %A Fischer, Nick %A Nakos, Vasileios %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Improved Sublinear-Time Edit Distance for Preprocessed Strings : %G eng %U http://hdl.handle.net/21.11116/0000-000B-163A-C %R 10.4230/LIPIcs.ICALP.2022.32 %U urn:nbn:de:0030-drops-163734 %D 2022 %B 49th International Colloquium on Automata, Languages, and Programming %Z date of event: 2022-07-04 - 2022-07-08 %C Paris, France %B 49th EATCS International Conference on Automata, Languages, and Programming %E Boja&#324;czyk, Miko&#322;aj; Merelli, Emanuela; Woodruff, David P. %P 1 - 20 %Z sequence number: 32 %I Schloss Dagstuhl %@ 978-3-95977-235-8} %B Leibniz International Proceedings in Informatics %N 229

%0 Conference Proceedings %A Bringmann, Karl %A Cassis, Alejandro %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Faster Knapsack Algorithms via Bounded Monotone Min-Plus-Convolution : %G eng %U http://hdl.handle.net/21.11116/0000-000B-1622-6 %R 10.4230/LIPIcs.ICALP.2022.31 %U urn:nbn:de:0030-drops-163727 %D 2022 %B 49th International Colloquium on Automata, Languages, and Programming %Z date of event: 2022-07-04 - 2022-07-08 %C Paris, France %B 49th EATCS International Conference on Automata, Languages, and Programming %E Boja&#324;czyk, Miko&#322;aj; Merelli, Emanuela; Woodruff, David P. %P 1 - 21 %Z sequence number: 31 %I Schloss Dagstuhl %@ 978-3-95977-235-8} %B Leibniz International Proceedings in Informatics %N 229

%0 Conference Proceedings %A Bringmann, Karl %A Carmeli, Nofar %A Mengel, Stefan %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Tight Fine-Grained Bounds for Direct Access on Join Queries : %G eng %U http://hdl.handle.net/21.11116/0000-000B-2037-3 %R 10.1145/3517804.3526234 %D 2022 %B 41st ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems %Z date of event: 2022-06-12 - 2022-06-17 %C Philadelphia, PA, USA %B PODS '22 %E Libkin, Leonid; Barcel&#243;, Pablo; Grez, Alejandro %P 427 - 436 %I ACM %@ 978-1-4503-9260-0

%0 Conference Proceedings %A Buchin, Kevin %A Nusser, Andr&#233; %A Wong, Sampson %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Computing Continuous Dynamic Time Warping of Time Series in Polynomial Time : %G eng %U http://hdl.handle.net/21.11116/0000-000C-268B-D %R 10.4230/LIPIcs.SoCG.2022.22 %U urn:nbn:de:0030-drops-160307 %D 2022 %B 38th International Symposium on Computational Geometry %Z date of event: 2022-06-07 - 2022-06-10 %C Berlin, Germany %B 38th International Symposium on Computational Geometry %E Goaoc, Xavier; Kerber, Michael %P 1 - 16 %Z sequence number: 22 %I Schloss Dagstuhl %@ 978-3-95977-227-3 %B Leibniz International Proceedings in Informatics %N 224 %@ false

%0 Report %A Caoduro, Marco %A Cslovjecsek, Jana %A Pilipczuk, Micha&#322; %A W&#281;grzycki, Karol %+ External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Independence Number of Intersection Graphs of Axis-Parallel Segments : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1F1D-3 %U https://arxiv.org/abs/2205.15189 %D 2022 %X We prove that for any triangle-free intersection graph of $n$ axis-parallel<br>segments in the plane, the independence number $\alpha$ of this graph is at<br>least $\alpha \ge n/4 + \Omega(\sqrt{n})$. We complement this with a<br>construction of a graph in this class satisfying $\alpha \le n/4 + c \sqrt{n}$<br>for an absolute constant $c$, which demonstrates the optimality of our result.<br> %K Mathematics, Combinatorics, math.CO,Computer Science, Computational Geometry, cs.CG,Computer Science, Discrete Mathematics, cs.DM,

%0 Report %A Charalampopoulos, Panagiotis %A Kociumaka, Tomasz %A Wellnitz, Philip %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Faster Pattern Matching under Edit Distance : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1EC9-1 %U https://arxiv.org/abs/2204.03087 %D 2022 %X We consider the approximate pattern matching problem under the edit distance.<br>Given a text $T$ of length $n$, a pattern $P$ of length $m$, and a threshold<br>$k$, the task is to find the starting positions of all substrings of $T$ that<br>can be transformed to $P$ with at most $k$ edits. More than 20 years ago, Cole<br>and Hariharan [SODA'98, J. Comput.'02] gave an $\mathcal{O}(n+k^4 \cdot n/<br>m)$-time algorithm for this classic problem, and this runtime has not been<br>improved since.<br> Here, we present an algorithm that runs in time $\mathcal{O}(n+k^{3.5}<br>\sqrt{\log m \log k} \cdot n/m)$, thus breaking through this long-standing<br>barrier. In the case where $n^{1/4+\varepsilon} \leq k \leq<br>n^{2/5-\varepsilon}$ for some arbitrarily small positive constant<br>$\varepsilon$, our algorithm improves over the state-of-the-art by polynomial<br>factors: it is polynomially faster than both the algorithm of Cole and<br>Hariharan and the classic $\mathcal{O}(kn)$-time algorithm of Landau and<br>Vishkin [STOC'86, J. Algorithms'89].<br> We observe that the bottleneck case of the alternative $\mathcal{O}(n+k^4<br>\cdot n/m)$-time algorithm of Charalampopoulos, Kociumaka, and Wellnitz<br>[FOCS'20] is when the text and the pattern are (almost) periodic. Our new<br>algorithm reduces this case to a new dynamic problem (Dynamic Puzzle Matching),<br>which we solve by building on tools developed by Tiskin [SODA'10,<br>Algorithmica'15] for the so-called seaweed monoid of permutation matrices. Our<br>algorithm relies only on a small set of primitive operations on strings and<br>thus also applies to the fully-compressed setting (where text and pattern are<br>given as straight-line programs) and to the dynamic setting (where we maintain<br>a collection of strings under creation, splitting, and concatenation),<br>improving over the state of the art.<br> %K Computer Science, Data Structures and Algorithms, cs.DS

%0 Conference Proceedings %A Charalampopoulos, Panagiotis %A Kociumaka, Tomasz %A Wellnitz, Philip %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Faster Pattern Matching under Edit Distance: A Reduction to Dynamic Puzzle Matching and the Seaweed Monoid of Permutation Matrices : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1571-D %R 10.1109/FOCS54457.2022.00072 %D 2022 %B IEEE 63rd Annual Symposium on Foundations of Computer Science %Z date of event: 2022-10-31 - 2022-11-03 %C Denver, CO, USA %B FOCS 2022 %P 698 - 707 %I IEEE %@ 978-1-6654-5519-0

%0 Conference Proceedings %A Charalampopoulos, Panagiotis %A Kociumaka, Tomasz %A Pissis, Solon P. %A Radoszewski, Jakub %A Rytter, Wojciech %A Wale&#324;, Tomasz %A Zuba, Wiktor %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations External Organizations External Organizations External Organizations %T Approximate Circular Pattern Matching : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1531-5 %R 10.4230/LIPIcs.ESA.2022.35 %U urn:nbn:de:0030-drops-169738 %U https://drops.dagstuhl.de/opus/volltexte/2022/16973/ %D 2022 %B 30th Annual European Symposium on Algorithms %Z date of event: 2022-09-05 - 2022-09-09 %C Berlin/Potsdam, Germany %B 30th Annual European Symposium on Algorithms %E Chechik, Shiri; Navarro, Gonzalo; Rotenberg, Eva; Herman, Grzegorz %P 1 - 19 %Z sequence number: 35 %I Schloss Dagstuhl %@ 978-3-95977-247-1 %B Leibniz International Proceedings in Informatics %N 244 %@ false

%0 Conference Proceedings %A Coudert, David %A Nusser, Andr&#233; %A Viennot, Laurent %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Computing Graph Hyperbolicity Using Dominating Sets : %G eng %U http://hdl.handle.net/21.11116/0000-000C-268E-A %R 10.1137/1.9781611977042.7 %D 2022 %B Symposium on Algorithm Engineering and Experiments %Z date of event: 2022-01-09 - 2022-01-10 %C Alexandria, VA, USA %B Proceedings of the Symposium on Algorithm Engineering and Experiments %E Phillips, Cynthia A.; Speckman, Bettina %P 78 - 90 %I SIAM %@ 978-1-61197-704-2

%0 Journal Article %A Coudert, David %A Nusser, Andr&#233; %A Viennot, Laurent %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Enumeration of Far-Apart Pairs by Decreasing Distance for Faster Hyperbolicity Computation : %G eng %U http://hdl.handle.net/21.11116/0000-000B-FE19-C %R 10.1145/3569169 %7 2022 %D 2022 %J ACM Journal of Experimental Algorithmics %V 27 %Z sequence number: 1.15 %I ACM %C New York, NY %@ false

%0 Report %A Coupette, Corinna %A Vreeken, Jilles %A Rieck, Bastian %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T All the World's a (Hyper)Graph: A Data Drama : %G eng %U http://hdl.handle.net/21.11116/0000-000C-10C1-7 %U https://arxiv.org/abs/2206.08225 %D 2022 %X We introduce Hyperbard, a dataset of diverse relational data representations<br>derived from Shakespeare's plays. Our representations range from simple graphs<br>capturing character co-occurrence in single scenes to hypergraphs encoding<br>complex communication settings and character contributions as hyperedges with<br>edge-specific node weights. By making multiple intuitive representations<br>readily available for experimentation, we facilitate rigorous representation<br>robustness checks in graph learning, graph mining, and network analysis,<br>highlighting the advantages and drawbacks of specific representations.<br>Leveraging the data released in Hyperbard, we demonstrate that many solutions<br>to popular graph mining problems are highly dependent on the representation<br>choice, thus calling current graph curation practices into question. As an<br>homage to our data source, and asserting that science can also be art, we<br>present all our points in the form of a play.<br> %K Computer Science, Learning, cs.LG,Computer Science, Computation and Language, cs.CL,Computer Science, Computers and Society, cs.CY,cs.SI

%0 Report %A Coupette, Corinna %A Hartung, Dirk %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Sharing and Caring: Creating a Culture of Constructive Criticism in Computational Legal Studies : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1083-D %U https://arxiv.org/abs/2205.01071 %D 2022 %X We introduce seven foundational principles for creating a culture of<br>constructive criticism in computational legal studies. Beginning by challenging<br>the current perception of papers as the primary scholarly output, we call for a<br>more comprehensive interpretation of publications. We then suggest to make<br>these publications computationally reproducible, releasing all of the data and<br>all of the code all of the time, on time, and in the most functioning form<br>possible. Subsequently, we invite constructive criticism in all phases of the<br>publication life cycle. We posit that our proposals will help form our field,<br>and float the idea of marking this maturity by the creation of a modern<br>flagship publication outlet for computational legal studies.<br> %K Computer Science, Computers and Society, cs.CY,Computer Science, Computation and Language, cs.CL

%0 Journal Article %A Coupette, Corinna %A Hartung, Dirk %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Rechtsstrukturvergleichung : %G eng %U http://hdl.handle.net/21.11116/0000-000C-108A-6 %R 10.1628/rabelsz-2022-0082 %7 2022 %D 2022 %J Rabels Zeitschrift f&#252;r ausl&#228;ndisches und internationales Privatrecht %O RabelsZ %V 86 %N 4 %& 935 %P 935 - 975

%0 Conference Proceedings %A Coupette, Corinna %A Dalleiger, Sebastian %A Vreeken, Jilles %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Differentially Describing Groups of Graphs : %G eng %U http://hdl.handle.net/21.11116/0000-000C-105C-B %R 10.1609/aaai.v36i4.20312 %D 2022 %B 36th AAAI Conference on Artificial Intelligence %Z date of event: 2022-02-22 - 2022-03-01 %C Virtual Conference %B Proceedings of the 36th AAAI Conference on Artificial Intelligence %P 3959 - 3967 %I AAAI %@ 978-1-57735-876-3 %U https://ojs.aaai.org/index.php/AAAI/article/view/20312/20071

%0 Journal Article %A Coupette, Corinna %A Hartung, Dirk %A Beckedorf, Janis %A Bother, Maximilian %A Katz, Daniel Martin %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations External Organizations External Organizations %T Law Smells - Defining and Detecting Problematic Patterns in Legal Drafting : %G eng %U http://hdl.handle.net/21.11116/0000-000A-CD04-B %R 10.1007/s10506-022-09315-w %7 2022 %D 2022 %J Artificial Intelligence and Law %I Springer %C New York, NY %@ false

%0 Report %A Coupette, Corinna %A Dalleiger, Sebastian %A Vreeken, Jilles %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Differentially Describing Groups of Graphs : %G eng %U http://hdl.handle.net/21.11116/0000-000C-165D-4 %U https://arxiv.org/abs/2201.04064 %D 2022 %X How does neural connectivity in autistic children differ from neural<br>connectivity in healthy children or autistic youths? What patterns in global<br>trade networks are shared across classes of goods, and how do these patterns<br>change over time? Answering questions like these requires us to differentially<br>describe groups of graphs: Given a set of graphs and a partition of these<br>graphs into groups, discover what graphs in one group have in common, how they<br>systematically differ from graphs in other groups, and how multiple groups of<br>graphs are related. We refer to this task as graph group analysis, which seeks<br>to describe similarities and differences between graph groups by means of<br>statistically significant subgraphs. To perform graph group analysis, we<br>introduce Gragra, which uses maximum entropy modeling to identify a<br>non-redundant set of subgraphs with statistically significant associations to<br>one or more graph groups. Through an extensive set of experiments on a wide<br>range of synthetic and real-world graph groups, we confirm that Gragra works<br>well in practice.<br> %K cs.SI,Computer Science, Information Theory, cs.IT,Computer Science, Learning, cs.LG,Mathematics, Information Theory, math.IT

%0 Journal Article %A Croitoru, Cosmina %A Croitoru, Madalina %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Indepth Combinatorial Analysis of Admissible Sets for Abstract Argumentation : %G eng %U http://hdl.handle.net/21.11116/0000-000A-5D72-E %R 10.1007/s10472-022-09785-3 %7 2022 %D 2022 %J Annals of Mathematics and Artificial Intelligence %V 90 %& 1139 %P 1139 - 1158 %I Springer %C New York, NY %@ false

%0 Journal Article %A Cseh, &#193;gnes %A Faenza, Yuri %A Kavitha, Telikepalli %A Powers, Vladlena %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Understanding Popular Matchings via Stable Matchings : %G eng %U http://hdl.handle.net/21.11116/0000-000A-57C3-8 %R 10.1137/19M124770X %7 2022 %D 2022 %J SIAM Journal on Discrete Mathematics %V 36 %N 1 %& 188 %P 188 - 213 %I The Society %C Philadelphia, Pa. %@ false

%0 Report %A Cslovjecsek, Jana %A Pilipczuk, Micha&#322; %A W&#281;grzycki, Karol %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Parameterized Approximation for Maximum Weight Independent Set of Rectangles and Segments : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1F75-F %U https://arxiv.org/abs/2212.01620 %D 2022 %X In the Maximum Weight Independent Set of Rectangles problem (MWISR) we are<br>given a weighted set of $n$ axis-parallel rectangles in the plane. The task is<br>to find a subset of pairwise non-overlapping rectangles with the maximum<br>possible total weight. This problem is NP-hard and the best-known<br>polynomial-time approximation algorithm, due to by Chalermsook and Walczak<br>(SODA 2021), achieves approximation factor $O(\log\log n )$. While in the<br>unweighted setting, constant factor approximation algorithms are known, due to<br>Mitchell (FOCS 2021) and to G\'alvez et al. (SODA 2022), it remains open to<br>extend these techniques to the weighted setting.<br> In this paper, we consider MWISR through the lens of parameterized<br>approximation. Grandoni et al. (ESA 2019) gave a $(1-\epsilon)$-approximation<br>algorithm with running time $k^{O(k/\epsilon^8)} n^{O(1/\epsilon^8)}$ time,<br>where $k$ is the number of rectangles in an optimum solution. Unfortunately,<br>their algorithm works only in the unweighted setting and they left it as an<br>open problem to give a parameterized approximation scheme in the weighted<br>setting.<br> Our contribution is a partial answer to the open question of Grandoni et al.<br>(ESA 2019). We give a parameterized approximation algorithm for MWISR that<br>given a parameter $k$, finds a set of non-overlapping rectangles of weight at<br>least $(1-\epsilon) \text{opt}_k$ in $2^{O(k \log(k/\epsilon))}<br>n^{O(1/\epsilon)}$ time, where $\text{opt}_k$ is the maximum weight of a<br>solution of cardinality at most $k$. Note that thus, our algorithm may return a<br>solution consisting of more than $k$ rectangles. To complement this apparent<br>weakness, we also propose a parameterized approximation scheme with running<br>time $2^{O(k^2 \log(k/\epsilon))} n^{O(1)}$ that finds a solution with<br>cardinality at most $k$ and total weight at least $(1-\epsilon)\text{opt}_k$<br>for the special case of axis-parallel segments.<br> %K Computer Science, Data Structures and Algorithms, cs.DS,Computer Science, Computational Geometry, cs.CG

%0 Conference Proceedings %A Das, Debarati %A Kociumaka, Tomasz %A Saha, Barna %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Improved Approximation Algorithms for Dyck Edit Distance and RNA Folding : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1541-3 %R 10.4230/LIPIcs.ICALP.2022.49 %U urn:nbn:de:0030-drops-163902 %U https://drops.dagstuhl.de/opus/volltexte/2022/16390/ %D 2022 %B 49th International Colloquium on Automata, Languages, and Programming %Z date of event: 2022-07-04 - 2022-07-08 %C Paris, France %B 49th EATCS International Conference on Automata, Languages, and Programming %E Boja&#324;czyk, Miko&#322;aj; Merelli, Emanuela; Woodruff, David P. %P 1 - 20 %Z sequence number: 49 %I Schloss Dagstuhl %@ 978-3-95977-235-8 %B Leibniz International Proceedings in Informatics %N 229

%0 Conference Proceedings %A Das, Debarati %A Gilbert, Jacob %A Hajiaghayi, MohammadTaghi %A Kociumaka, Tomasz %A Saha, Barna %A Saleh, Hamed %+ External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T &#213;(n + poly(k))-time Algorithm for Bounded Tree Edit Distance : %G eng %U http://hdl.handle.net/21.11116/0000-000C-153D-9 %R 10.1109/FOCS54457.2022.00071 %D 2022 %B IEEE 63rd Annual Symposium on Foundations of Computer Science %Z date of event: 2022-10-31 - 2022-11-03 %C Denver, CO, USA %B FOCS 2022 %P 686 - 697 %I IEEE %@ 978-1-6654-5519-0

%0 Conference Proceedings %A Esmer, Bari&#351; Can %A Kulik, Ariel %A Marx, D&#225;niel %A Neuen, Daniel %A Sharma, Roohani %+ External Organizations External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Faster Exponential-Time Approximation Algorithms Using Approximate Monotone Local Search : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1DA2-D %R 10.4230/LIPIcs.ESA.2022.50 %U urn:nbn:de:0030-drops-169887 %U https://drops.dagstuhl.de/opus/volltexte/2022/16988/ %D 2022 %B 30th Annual European Symposium on Algorithms %Z date of event: 2022-09-05 - 2022-09-09 %C Berlin/Potsdam, Germany %B 30th Annual European Symposium on Algorithms %E Chechik, Shiri; Navarro, Gonzalo; Rotenberg, Eva; Herman, Grzegorz %P 1 - 19 %Z sequence number: 50 %I Schloss Dagstuhl %@ 978-3-95977-247-1 %B Leibniz International Proceedings in Informatics %N 244 %@ false

%0 Conference Proceedings %A Esmer, Bari&#351; Can %A Kulik, Ariel %A Marx, D&#225;niel %A Schepper, Philipp %A W&#281;grzycki, Karol %+ External Organizations External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Computing Generalized Convolutions Faster Than Brute Force : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1EE6-0 %R 10.4230/LIPIcs.IPEC.2022.12 %U urn:nbn:de:0030-drops-173685 %U https://drops.dagstuhl.de/opus/volltexte/2022/17368/ %D 2022 %B 17th International Symposium on Parameterized and Exact Computation %Z date of event: 2022-09-07 - 2022-09-09 %C Potsdam, Germany %B 17th International Symposium on Parameterized and Exact Computation %E Dell, Holger; Nederlof, Jesper %P 1 - 22 %Z sequence number: 12 %I Schloss Dagstuhl %@ 978-3-95977-260-0 %B Leibniz International Proceedings in Informatics %N 249

%0 Report %A Esmer, Bar&#305;&#351; Can %A Kulik, Ariel %A Marx, D&#225;niel %A Neuen, Daniel %A Sharma, Roohani %+ External Organizations External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Faster Exponential-Time Approximation Algorithms Using Approximate Monotone Local Search : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1E6F-8 %U https://arxiv.org/abs/2206.13481 %D 2022 %X We generalize the monotone local search approach of Fomin, Gaspers,<br>Lokshtanov and Saurabh [J.ACM 2019], by establishing a connection between<br>parameterized approximation and exponential-time approximation algorithms for<br>monotone subset minimization problems. In a monotone subset minimization<br>problem the input implicitly describes a non-empty set family over a universe<br>of size $n$ which is closed under taking supersets. The task is to find a<br>minimum cardinality set in this family. Broadly speaking, we use approximate<br>monotone local search to show that a parameterized $\alpha$-approximation<br>algorithm that runs in $c^k \cdot n^{O(1)}$ time, where $k$ is the solution<br>size, can be used to derive an $\alpha$-approximation randomized algorithm that<br>runs in $d^n \cdot n^{O(1)}$ time, where $d$ is the unique value in $d \in<br>(1,1+\frac{c-1}{\alpha})$ such that<br>$\mathcal{D}(\frac{1}{\alpha}\|\frac{d-1}{c-1})=\frac{\ln c}{\alpha}$ and<br>$\mathcal{D}(a \|b)$ is the Kullback-Leibler divergence. This running time<br>matches that of Fomin et al. for $\alpha=1$, and is strictly better when<br>$\alpha >1$, for any $c > 1$. Furthermore, we also show that this result can be<br>derandomized at the expense of a sub-exponential multiplicative factor in the<br>running time.<br> We demonstrate the potential of approximate monotone local search by deriving<br>new and faster exponential approximation algorithms for Vertex Cover,<br>$3$-Hitting Set, Directed Feedback Vertex Set, Directed Subset Feedback Vertex<br>Set, Directed Odd Cycle Transversal and Undirected Multicut. For instance, we<br>get a $1.1$-approximation algorithm for Vertex Cover with running time $1.114^n<br>\cdot n^{O(1)}$, improving upon the previously best known $1.1$-approximation<br>running in time $1.127^n \cdot n^{O(1)}$ by Bourgeois et al. [DAM 2011].<br> %K Computer Science, Data Structures and Algorithms, cs.DS,Computer Science, Computational Complexity, cs.CC

%0 Conference Proceedings %A Firman, Oksana %A Spoerhase, Joachim %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Hypergraph Representation via Axis-Aligned Point-Subspace Cover : %G eng %U http://hdl.handle.net/21.11116/0000-000C-26B3-F %R 10.1007/978-3-030-96731-4_27 %D 2022 %B 16th International Conference and Workshops on Algorithms and Computation %Z date of event: 2022-03-24 - 2022-03-26 %C Jember, Indonesia %B WALCOM: Algorithms and Computation %E Mutzel, Petra; Rahman, Md. Saidur; Slamin %P 328 - 339 %I Springer %@ 978-3-030-96730-7 %B Lecture Notes in Computer Science %N 13174 %U https://rdcu.be/c21qy

%0 Journal Article %A Fomin, Fedor V. %A Golovach, Petr A. %A Lochet, William %A Misra, Pranabendu %A Saurabh, Saket %A Sharma, Roohani %+ External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Parameterized Complexity of Directed Spanner Problems : %G eng %U http://hdl.handle.net/21.11116/0000-0009-BAB8-6 %R 10.1007/s00453-021-00911-x %7 2021 %D 2022 %J Algorithmica %V 84 %& 2292 %P 2292 - 2308 %I Springer-Verlag %C New York %@ false

%0 Journal Article %A F&#252;gger, Matthias %A Kinali, Attila %A Lenzen, Christoph %A Wiederhake, Ben %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Fast All-Digital Clock Frequency Adaptation Circuit for Voltage Droop Tolerance : %G eng %U http://hdl.handle.net/21.11116/0000-0009-201C-4 %R 10.1109/TCAD.2021.3097599 %7 2021 %D 2022 %J IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems %V 41 %N 8 %& 2518 %P 2518 - 2531 %I IEEE %C Piscataway, NJ %@ false

%0 Conference Proceedings %A Galby, Esther %A Marx, D&#225;niel %A Schepper, Philipp %A Sharma, Roohani %A Tale, Prafullkumar %+ External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Parameterized Complexity of Weighted Multicut in Trees : %G eng %U http://hdl.handle.net/21.11116/0000-000B-5925-8 %R 10.1007/978-3-031-15914-5_19 %D 2022 %B 48th International Workshop on Graph-Theoretic Concepts in Computer Science %Z date of event: 2022-06-22 - 2022-06-24 %C T&#252;bingen, Germany %B Graph-Theoretic Concepts in Computer Science %E Bekos, Michael A.; Kaufmann, Michael %P 257 - 270 %I Springer %@ 978-3-031-15913-8 %B Lecture Notes in Computer Science %N 13453

%0 Conference Proceedings %A Galby, Esther %A Marx, D&#225;niel %A Schepper, Philipp %A Sharma, Roohani %A Tale, Prafullkumar %+ External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Domination and Cut Problems on Chordal Graphs with Bounded Leafage : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1DB2-B %R 10.4230/LIPIcs.IPEC.2022.14 %U urn:nbn:de:0030-drops-173704 %U https://drops.dagstuhl.de/opus/volltexte/2022/17370/ %D 2022 %B 17th International Symposium on Parameterized and Exact Computation %Z date of event: 2022-09-07 - 2022-09-09 %C Potsdam, Germany %B 17th International Symposium on Parameterized and Exact Computation %E Dell, Holger; Nederlof, Jesper %P 1 - 24 %Z sequence number: 14 %I Schloss Dagstuhl %@ 978-3-95977-260-0 %B Leibniz International Proceedings in Informatics %N 249

%0 Conference Proceedings %A Galby, Esther %A Khazaliya, Liana %A Mc Inerney, Fionn %A Sharma, Roohani %A Tale, Prafullkumar %+ External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Metric Dimension Parameterized by Feedback Vertex Set and Other Structural Parameters : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1DB9-4 %R 10.4230/LIPIcs.MFCS.2022.51 %U urn:nbn:de:0030-drops-168496 %U https://drops.dagstuhl.de/opus/volltexte/2022/16849/ %D 2022 %B 47th International Symposium on Mathematical Foundations of Computer Science %Z date of event: 2022-08-22 - 2022-08-26 %C Vienna, Austria %B 47th International Symposium on Mathematical Foundations of Computer Science %E Szeider, Stefan; Ganian, Robert; Silva, Alexandra %P 1 - 15 %Z sequence number: 51 %I Schloss Dagstuhl %@ 978-3-95977-256-3 %B Leibniz International Proceedings in Informatics %N 241

%0 Report %A Galby, Esther %A Marx, D&#225;niel %A Schepper, Philipp %A Sharma, Roohani %A Tale, Prafullkumar %+ External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Parameterized Complexity of Weighted Multicut in Trees : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1DC8-3 %U https://arxiv.org/abs/2205.10105 %D 2022 %X The Edge Multicut problem is a classical cut problem where given an<br>undirected graph $G$, a set of pairs of vertices $\mathcal{P}$, and a budget<br>$k$, the goal is to determine if there is a set $S$ of at most $k$ edges such<br>that for each $(s,t) \in \mathcal{P}$, $G-S$ has no path from $s$ to $t$. Edge<br>Multicut has been relatively recently shown to be fixed-parameter tractable<br>(FPT), parameterized by $k$, by Marx and Razgon [SICOMP 2014], and<br>independently by Bousquet et al. [SICOMP 2018]. In the weighted version of the<br>problem, called Weighted Edge Multicut one is additionally given a weight<br>function $\mathtt{wt} : E(G) \to \mathbb{N}$ and a weight bound $w$, and the<br>goal is to determine if there is a solution of size at most $k$ and weight at<br>most $w$. Both the FPT algorithms for Edge Multicut by Marx et al. and Bousquet<br>et al. fail to generalize to the weighted setting. In fact, the weighted<br>problem is non-trivial even on trees and determining whether Weighted Edge<br>Multicut on trees is FPT was explicitly posed as an open problem by Bousquet et<br>al. [STACS 2009]. In this article, we answer this question positively by<br>designing an algorithm which uses a very recent result by Kim et al. [STOC<br>2022] about directed flow augmentation as subroutine.<br> We also study a variant of this problem where there is no bound on the size<br>of the solution, but the parameter is a structural property of the input, for<br>example, the number of leaves of the tree. We strengthen our results by stating<br>them for the more general vertex deletion version.<br> %K Computer Science, Data Structures and Algorithms, cs.DS,Computer Science, Computational Complexity, cs.CC

%0 Report %A Galby, Esther %A Marx, D&#225;niel %A Schepper, Philipp %A Sharma, Roohani %A Tale, Prafullkumar %+ External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Domination and Cut Problems on Chordal Graphs with Bounded Leafage : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1DF6-F %U https://arxiv.org/abs/2208.02850 %D 2022 %X The leafage of a chordal graph G is the minimum integer l such that G can be<br>realized as an intersection graph of subtrees of a tree with l leaves. We<br>consider structural parameterization by the leafage of classical domination and<br>cut problems on chordal graphs. Fomin, Golovach, and Raymond [ESA 2018,<br>Algorithmica 2020] proved, among other things, that Dominating Set on chordal<br>graphs admits an algorithm running in time $2^{O(l^2)} n^{O(1)}$. We present a<br>conceptually much simpler algorithm that runs in time $2^{O(l)} n^{O(1)}$. We<br>extend our approach to obtain similar results for Connected Dominating Set and<br>Steiner Tree. We then consider the two classical cut problems MultiCut with<br>Undeletable Terminals and Multiway Cut with Undeletable Terminals. We prove<br>that the former is W[1]-hard when parameterized by the leafage and complement<br>this result by presenting a simple $n^{O(l)}$-time algorithm. To our surprise,<br>we find that Multiway Cut with Undeletable Terminals on chordal graphs can be<br>solved, in contrast, in $n^{O(1)}$-time.<br> %K Computer Science, Data Structures and Algorithms, cs.DS,Computer Science, Computational Complexity, cs.CC,

%0 Report %A Galby, Esther %A Khazaliya, Liana %A Inerney, Fionn Mc %A Sharma, Roohani %A Tale, Prafullkumar %+ External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Metric Dimension Parameterized by Feedback Vertex Set and Other Structural Parameters : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1DDF-A %U https://arxiv.org/abs/2206.15424 %D 2022 %X For a graph $G$, a subset $S \subseteq V(G)$ is called a \emph{resolving set}<br>if for any two vertices $u,v \in V(G)$, there exists a vertex $w \in S$ such<br>that $d(w,u) \neq d(w,v)$. The {\sc Metric Dimension} problem takes as input a<br>graph $G$ and a positive integer $k$, and asks whether there exists a resolving<br>set of size at most $k$. This problem was introduced in the 1970s and is known<br>to be NP-hard~[GT~61 in Garey and Johnson's book]. In the realm of<br>parameterized complexity, Hartung and Nichterlein~[CCC~2013] proved that the<br>problem is W[2]-hard when parameterized by the natural parameter $k$. They also<br>observed that it is FPT when parameterized by the vertex cover number and asked<br>about its complexity under \emph{smaller} parameters, in particular the<br>feedback vertex set number. We answer this question by proving that {\sc Metric<br>Dimension} is W[1]-hard when parameterized by the feedback vertex set number.<br>This also improves the result of Bonnet and Purohit~[IPEC 2019] which states<br>that the problem is W[1]-hard parameterized by the treewidth. Regarding the<br>parameterization by the vertex cover number, we prove that {\sc Metric<br>Dimension} does not admit a polynomial kernel under this parameterization<br>unless $NP\subseteq coNP/poly$. We observe that a similar result holds when the<br>parameter is the distance to clique. On the positive side, we show that {\sc<br>Metric Dimension} is FPT when parameterized by either the distance to cluster<br>or the distance to co-cluster, both of which are smaller parameters than the<br>vertex cover number.<br> %K Computer Science, Discrete Mathematics, cs.DM,Computer Science, Computational Complexity, cs.CC,Computer Science, Data Structures and Algorithms, cs.DS

%0 Report %A Galby, Esther %A Kisfaludi-Bak, S&#225;ndor %A Marx, D&#225;niel %A Sharma, Roohani %+ External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Subexponential Parameterized Directed Steiner Network Problems on Planar Graphs: A Complete Classification : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1E72-3 %U https://arxiv.org/abs/2208.06015 %D 2022 %X In the Directed Steiner Network problem, the input is a directed graph G, a<br>subset T of k vertices of G called the terminals, and a demand graph D on T.<br>The task is to find a subgraph H of G with the minimum number of edges such<br>that for every edge (s,t) in D, the solution H contains a directed s to t path.<br>In this paper we investigate how the complexity of the problem depends on the<br>demand pattern when G is planar. Formally, if \mathcal{D} is a class of<br>directed graphs closed under identification of vertices, then the<br>\mathcal{D}-Steiner Network (\mathcal{D}-SN) problem is the special case where<br>the demand graph D is restricted to be from \mathcal{D}. For general graphs,<br>Feldmann and Marx [ICALP 2016] characterized those families of demand graphs<br>where the problem is fixed-parameter tractable (FPT) parameterized by the<br>number k of terminals. They showed that if \mathcal{D} is a superset of one of<br>the five hard families, then \mathcal{D}-SN is W[1]-hard parameterized by k,<br>otherwise it can be solved in time f(k)n^{O(1)}.<br> For planar graphs an interesting question is whether the W[1]-hard cases can<br>be solved by subexponential parameterized algorithms. Chitnis et al. [SICOMP<br>2020] showed that, assuming the ETH, there is no f(k)n^{o(k)} time algorithm<br>for the general \mathcal{D}-SN problem on planar graphs, but the special case<br>called Strongly Connected Steiner Subgraph can be solved in time f(k)<br>n^{O(\sqrt{k})} on planar graphs. We present a far-reaching generalization and<br>unification of these two results: we give a complete characterization of the<br>behavior of every $\mathcal{D}$-SN problem on planar graphs. We show that<br>assuming ETH, either the problem is (1) solvable in time 2^{O(k)}n^{O(1)}, and<br>not in time 2^{o(k)}n^{O(1)}, or (2) solvable in time f(k)n^{O(\sqrt{k})}, but<br>not in time f(k)n^{o(\sqrt{k})}, or (3) solvable in time f(k)n^{O(k)}, but not<br>in time f(k)n^{o({k})}.<br> %K Computer Science, Data Structures and Algorithms, cs.DS,Computer Science, Computational Complexity, cs.CC,

%0 Report %A Gao, Yuan %A Kamkari, Hamidreza %A Karrenbauer, Andreas %A Mehlhorn, Kurt %A Sharifi, Mohammadamin %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Physarum Inspired Dynamics to Solve Semi-Definite Programs : %G eng %U http://hdl.handle.net/21.11116/0000-0009-B656-9 %U https://arxiv.org/abs/2111.02291 %D 2022 %X Physarum Polycephalum is a Slime mold that can solve the shortest path<br>problem. A mathematical model based on the Physarum's behavior, known as the<br>Physarum Directed Dynamics, can solve positive linear programs. In this paper,<br>we will propose a Physarum based dynamic based on the previous work and<br>introduce a new way to solve positive Semi-Definite Programming (SDP) problems,<br>which are more general than positive linear programs. Empirical results suggest<br>that this extension of the dynamic can solve the positive SDP showing that the<br>nature-inspired algorithm can solve one of the hardest problems in the<br>polynomial domain. In this work, we will formulate an accurate algorithm to<br>solve positive and some non-negative SDPs and formally prove some key<br>characteristics of this solver thus inspiring future work to try and refine<br>this method.<br> %K Computer Science, Data Structures and Algorithms, cs.DS,Mathematics, Optimization and Control, math.OC

%0 Conference Proceedings %A Giliberti, Jeff %A Karrenbauer, Andreas %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Improved Online Algorithm for Fractional Knapsack in the Random Order Model : %G eng %U http://hdl.handle.net/21.11116/0000-000C-11BF-A %R 10.1007/978-3-030-92702-8_12 %D 2022 %B 19th Workshop on Approximation and Online Algorithms %Z date of event: 2021-09-06 - 2021-09-10 %C Lisbon, Portugal %B Approximation and Online Algorithms %E Koenemann, Jochen; Preis, Britta %P 188 - 205 %I Springer %@ 978-3-030-92701-1 %B Lecture Notes in Computer Science %N 12982

%0 Conference Proceedings %A Goldenberg, Elazar %A Kociumaka, Tomasz %A Krauthgamer, Robert %A Saha, Barna %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Gap Edit Distance via Non-Adaptive Queries: Simple and Optimal : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1578-6 %R 10.1109/FOCS54457.2022.00070 %D 2022 %B IEEE 63rd Annual Symposium on Foundations of Computer Science %Z date of event: 2022-10-31 - 2022-11-03 %C Denver, CO, USA %B FOCS 2022 %P 674 - 685 %I IEEE %@ 978-1-6654-5519-0

%0 Report %A Gouleakis, Themis %A Lakis, Konstantinos %A Shahkarami, Golnoosh %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Learning-Augmented Algorithms for Online TSP on the Line : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1FCC-D %U https://arxiv.org/abs/2206.00655 %D 2022 %X We study the online Traveling Salesman Problem (TSP) on the line augmented<br>with machine-learned predictions. In the classical problem, there is a stream<br>of requests released over time along the real line. The goal is to minimize the<br>makespan of the algorithm. We distinguish between the open variant and the<br>closed one, in which we additionally require the algorithm to return to the<br>origin after serving all requests. The state of the art is a $1.64$-competitive<br>algorithm and a $2.04$-competitive algorithm for the closed and open variants,<br>respectively \cite{Bjelde:1.64}. In both cases, a tight lower bound is known<br>\cite{Ausiello:1.75, Bjelde:1.64}.<br> In both variants, our primary prediction model involves predicted positions<br>of the requests. We introduce algorithms that (i) obtain a tight 1.5<br>competitive ratio for the closed variant and a 1.66 competitive ratio for the<br>open variant in the case of perfect predictions, (ii) are robust against<br>unbounded prediction error, and (iii) are smooth, i.e., their performance<br>degrades gracefully as the prediction error increases.<br> Moreover, we further investigate the learning-augmented setting in the open<br>variant by additionally considering a prediction for the last request served by<br>the optimal offline algorithm. Our algorithm for this enhanced setting obtains<br>a 1.33 competitive ratio with perfect predictions while also being smooth and<br>robust, beating the lower bound of 1.44 we show for our original prediction<br>setting for the open variant. Also, we provide a lower bound of 1.25 for this<br>enhanced setting.<br> %K Computer Science, Data Structures and Algorithms, cs.DS,Computer Science, Learning, cs.LG

%0 Report %A Gutowski, Grzegorz %A Mittelst&#228;dt, Florian %A Rutter, Ignaz %A Spoerhase, Joachim %A Wolff, Alexander %A Zink, Johannes %+ External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Coloring Mixed and Directional Interval Graphs : %G eng %U http://hdl.handle.net/21.11116/0000-000C-269B-B %U https://arxiv.org/abs/2208.14250 %D 2022 %X A mixed graph has a set of vertices, a set of undirected egdes, and a set of<br>directed arcs. A proper coloring of a mixed graph $G$ is a function $c$ that<br>assigns to each vertex in $G$ a positive integer such that, for each edge $uv$<br>in $G$, $c(u) \ne c(v)$ and, for each arc $uv$ in $G$, $c(u) < c(v)$. For a<br>mixed graph $G$, the chromatic number $\chi(G)$ is the smallest number of<br>colors in any proper coloring of $G$. A directional interval graph is a mixed<br>graph whose vertices correspond to intervals on the real line. Such a graph has<br>an edge between every two intervals where one is contained in the other and an<br>arc between every two overlapping intervals, directed towards the interval that<br>starts and ends to the right.<br> Coloring such graphs has applications in routing edges in layered orthogonal<br>graph drawing according to the Sugiyama framework; the colors correspond to the<br>tracks for routing the edges. We show how to recognize directional interval<br>graphs, and how to compute their chromatic number efficiently. On the other<br>hand, for mixed interval graphs, i.e., graphs where two intersecting intervals<br>can be connected by an edge or by an arc in either direction arbitrarily, we<br>prove that computing the chromatic number is NP-hard.<br> %K Computer Science, Discrete Mathematics, cs.DM

%0 Journal Article %A Halperin, Dan %A Har-Peled, Sariel %A Mehlhorn, Kurt %A Oh, Eunjin %A Sharir, Micha %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T The Maximum-Level Vertex in an Arrangement of Lines : %G eng %U http://hdl.handle.net/21.11116/0000-0009-D020-7 %R 10.1007/s00454-021-00338-9 %7 2022 %D 2022 %J Discrete & Computational Geometry %V 67 %& 439 %P 439 - 461 %I Springer %C New York, NY %@ false %U https://rdcu.be/cFlQF

%0 Conference Proceedings %A Han, Insu %A Zandieh, Amir %A Lee, Jaehoon %A Novak, Roman %A Xiao, Lechao %A Karbasi, Amin %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations External Organizations External Organizations %T Fast Neural Kernel Embeddings for General Activations : %G eng %U http://hdl.handle.net/21.11116/0000-000C-90F3-E %D 2022 %B 36th Conference on Neural Information Processing Systems %Z date of event: 2022-11-28 - 2022-12-09 %C New Orleans, LA, USA %B Advances in Neural Information Processing Systems 35 %E Koyejo, S.; Mohamed, S.; Agarwal, A.; Belgrave, D.; Cho, K.; Oh, A. %P 35657 - 35671 %I Curran Associates, Inc. %U https://openreview.net/pdf?id=yLilJ1vZgMe

%0 Conference Proceedings %A Han, Insu %A Zandieh, Amir %A Avron, Haim %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Random Gegenbauer Features for Scalable Kernel Methods : %G eng %U http://hdl.handle.net/21.11116/0000-000C-90FB-6 %U https://proceedings.mlr.press/v162/han22g.html %D 2022 %B 39th International Conference on Machine Learning %Z date of event: 2022-07-17 - 2022-07-23 %C Baltimore, MA, USA %B Proceedings of the 39th International Conference on Machine Learning %E Chaudhuri, Kamalika; Jegelka, Stefanie; Le, Song; Csaba, Szepesvari; Gang, Niu; Sabato, Sivan %P 8330 - 8358 %B Proceedings of the Machine Learning Research %N 162 %@ false

%0 Report %A Hatzel, Meike %A Jaffke, Lars %A Lima, Paloma T. %A Masa&#345;&#237;k, Tom&#225;&#353; %A Pilipczuk, Marcin %A Sharma, Roohani %A Sorge, Manuel %+ External Organizations External Organizations External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Fixed-Parameter Tractability of Directed Multicut with Three Terminal Pairs Parameterized by the Size of the Cutset: Twin-width Meets Flow-Augmentation : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1DE8-F %U https://arxiv.org/abs/2207.07425 %D 2022 %X We show fixed-parameter tractability of the Directed Multicut problem with<br>three terminal pairs (with a randomized algorithm). This problem, given a<br>directed graph $G$, pairs of vertices (called terminals) $(s_1,t_1)$,<br>$(s_2,t_2)$, and $(s_3,t_3)$, and an integer $k$, asks to find a set of at most<br>$k$ non-terminal vertices in $G$ that intersect all $s_1t_1$-paths, all<br>$s_2t_2$-paths, and all $s_3t_3$-paths. The parameterized complexity of this<br>case has been open since Chitnis, Cygan, Hajiaghayi, and Marx proved<br>fixed-parameter tractability of the 2-terminal-pairs case at SODA 2012, and<br>Pilipczuk and Wahlstr\"{o}m proved the W[1]-hardness of the 4-terminal-pairs<br>case at SODA 2016.<br> On the technical side, we use two recent developments in parameterized<br>algorithms. Using the technique of directed flow-augmentation [Kim, Kratsch,<br>Pilipczuk, Wahlstr\"{o}m, STOC 2022] we cast the problem as a CSP problem with<br>few variables and constraints over a large ordered domain.We observe that this<br>problem can be in turn encoded as an FO model-checking task over a structure<br>consisting of a few 0-1 matrices. We look at this problem through the lenses of<br>twin-width, a recently introduced structural parameter [Bonnet, Kim,<br>Thomass\'{e}, Watrigant, FOCS 2020]: By a recent characterization [Bonnet,<br>Giocanti, Ossona de Mendes, Simon, Thomass\'{e}, Toru\'{n}czyk, STOC 2022] the<br>said FO model-checking task can be done in FPT time if the said matrices have<br>bounded grid rank. To complete the proof, we show an irrelevant vertex rule: If<br>any of the matrices in the said encoding has a large grid minor, a vertex<br>corresponding to the ``middle'' box in the grid minor can be proclaimed<br>irrelevant -- not contained in the sought solution -- and thus reduced.<br> %K Computer Science, Data Structures and Algorithms, cs.DS

%0 Report %A Jaffke, Lars %A Lima, Paloma T. %A Sharma, Roohani %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T b-Coloring Parameterized by Pathwidth is XNLP-complete : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1E7E-7 %U https://arxiv.org/abs/2209.07772 %D 2022 %X We show that the $b$-Coloring problem is complete for the class XNLP when<br>parameterized by the pathwidth of the input graph. Besides determining the<br>precise parameterized complexity of this problem, this implies that b-Coloring<br>parameterized by pathwidth is $W[t]$-hard for all $t$, and resolves the<br>parameterized complexity of $b$-Coloring parameterized by treewidth.<br> %K Computer Science, Computational Complexity, cs.CC,Computer Science, Data Structures and Algorithms, cs.DS

%0 Conference Proceedings %A Jiang, Yonggang %A Zheng, Chaodong %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Robust and Optimal Contention Resolution without Collision Detection : %G eng %U http://hdl.handle.net/21.11116/0000-000C-104C-D %R 10.1145/3490148.3538592 %D 2022 %B 34th ACM Symposium on Parallelism in Algorithms and Architectures %Z date of event: 2022-07-11 - 2022-07-14 %C Philadelphia, PA, USA %B SPAA '22 %E Agrawal, Kunal; Lee, I-Ting Angelina %P 107 - 118 %I ACM %@ 978-1-4503-9146-7

%0 Report %A Kim, Eun Jung %A Masa&#345;&#237;k, Tom&#225;&#353; %A Pilipczuk, Marcin %A Sharma, Roohani %A Wahlstr&#246;m, Magnus %+ External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T On Weighted Graph Separation Problems and Flow-Augmentation : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1E78-D %U https://arxiv.org/abs/2208.14841 %D 2022 %X One of the first application of the recently introduced technique of<br>\emph{flow-augmentation} [Kim et al., STOC 2022] is a fixed-parameter algorithm<br>for the weighted version of \textsc{Directed Feedback Vertex Set}, a landmark<br>problem in parameterized complexity. In this note we explore applicability of<br>flow-augmentation to other weighted graph separation problems parameterized by<br>the size of the cutset. We show the following. -- In weighted undirected graphs<br>\textsc{Multicut} is FPT, both in the edge- and vertex-deletion version. -- The<br>weighted version of \textsc{Group Feedback Vertex Set} is FPT, even with an<br>oracle access to group operations. -- The weighted version of \textsc{Directed<br>Subset Feedback Vertex Set} is FPT. Our study reveals \textsc{Directed<br>Symmetric Multicut} as the next important graph separation problem whose<br>parameterized complexity remains unknown, even in the unweighted setting.<br> %K Computer Science, Data Structures and Algorithms, cs.DS,Computer Science, Computational Complexity, cs.CC,

%0 Thesis %A Kinali-Dogan, Attila %Y Lenzen, Christoph %A referee: Mehlhorn, Kurt %A referee: Vernotte, Francoise %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society International Max Planck Research School, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T On Time, Time Synchronization and Noise in Time Measurement Systems : %G eng %U http://hdl.handle.net/21.11116/0000-000B-5436-A %I Universit&#228;t des Saarlandes %C Saarbr&#252;cken %D 2022 %P 140 p. %V phd %9 phd

%0 Journal Article %A Kirkpatrick, David %A Simon, Hans U. %A Zilles, Sandra %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Optimal Collusion-Free Teaching : %G eng %U http://hdl.handle.net/21.11116/0000-000C-332F-7 %D 2022 %X Formal models of learning from teachers need to respect certain criteria to<br>avoid collusion. The most commonly accepted notion of collusion-freeness was<br>proposed by Goldman and Mathias (1996), and various teaching models obeying<br>their criterion have been studied. For each model $M$ and each concept class<br>$\mathcal{C}$, a parameter $M$-$\mathrm{TD}(\mathcal{C})$ refers to the<br>teaching dimension of concept class $\mathcal{C}$ in model $M$---defined to be<br>the number of examples required for teaching a concept, in the worst case over<br>all concepts in $\mathcal{C}$.<br> This paper introduces a new model of teaching, called no-clash teaching,<br>together with the corresponding parameter $\mathrm{NCTD}(\mathcal{C})$.<br>No-clash teaching is provably optimal in the strong sense that, given any<br>concept class $\mathcal{C}$ and any model $M$ obeying Goldman and Mathias's<br>collusion-freeness criterion, one obtains $\mathrm{NCTD}(\mathcal{C})\le<br>M$-$\mathrm{TD}(\mathcal{C})$. We also study a corresponding notion<br>$\mathrm{NCTD}^+$ for the case of learning from positive data only, establish<br>useful bounds on $\mathrm{NCTD}$ and $\mathrm{NCTD}^+$, and discuss relations<br>of these parameters to the VC-dimension and to sample compression.<br> In addition to formulating an optimal model of collusion-free teaching, our<br>main results are on the computational complexity of deciding whether<br>$\mathrm{NCTD}^+(\mathcal{C})=k$ (or $\mathrm{NCTD}(\mathcal{C})=k$) for given<br>$\mathcal{C}$ and $k$. We show some such decision problems to be equivalent to<br>the existence question for certain constrained matchings in bipartite graphs.<br>Our NP-hardness results for the latter are of independent interest in the study<br>of constrained graph matchings.<br> %K Computer Science, Learning, cs.LG,Statistics, Machine Learning, stat.ML %J Journal of Machine Learning Research %I JMLR.org %@ false

%0 Conference Proceedings %A Kisfaludi-Bak, S&#225;ndor %A Nederlof, Jesper %A W&#281;grzycki, Karol %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T A Gap-ETH-Tight Approximation Scheme for Euclidean TSP : %G eng %U http://hdl.handle.net/21.11116/0000-000A-C557-6 %R 10.1109/FOCS52979.2021.00043 %D 2022 %B IEEE 62nd Annual Symposium on Foundations of Computer Science %Z date of event: 2022-02-07 - 2022-02-10 %C Denver, CO, USA (Virtual Conference) %B FOCS 2021 %P 351 - 362 %I IEEE %@ 978-1-6654-2055-6

%0 Conference Proceedings %A Kociumaka, Tomasz %A Navarro, Gonzalo %A Olivares, Francisco %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Near-Optimal Search Time in &#948;-Optimal Space : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1534-2 %R 10.1007/978-3-031-20624-5_6 %D 2022 %B 5th Latin American Theoretical Informatics Symposium %Z date of event: 2022-11-07 - 2022-11-11 %C Guanajuato, Mexico %B LATIN 2022: Theoretical Informatics %E Casta&#241;eda, Armando; Rodr&#237;guez-Henr&#237;quez, Francisco %P 88 - 103 %I Springer %@ 978-3-031-20623-8 %B Lecture Notes in Computer Science %N 13568 %U https://rdcu.be/c19vn

%0 Journal Article %A Kociumaka, Tomasz %A Navarro, Gonzalo %A Prezza, Nicola %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Towards a Definitive Compressibility Measure for Repetitive Sequences : %G eng %U http://hdl.handle.net/21.11116/0000-000C-150A-2 %R 10.1109/TIT.2022.3224382 %7 2022 %D 2022 %J IEEE Transactions on Information Theory %I IEEE %C Piscataway, NJ %@ false

%0 Conference Proceedings %A Krithika, R. %A Sharma, Roohani %A Tale, Prafullkumar %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T The Complexity of Contracting Bipartite Graphs into Small Cycles : %G eng %U http://hdl.handle.net/21.11116/0000-000B-5928-5 %R 10.1007/978-3-031-15914-5_26 %D 2022 %B 48th International Workshop on Graph-Theoretic Concepts in Computer Science %Z date of event: 2022-06-22 - 2022-06-24 %C T&#252;bingen, Germany %B Graph-Theoretic Concepts in Computer Science %E Bekos, Michael A.; Kaufmann, Michael %P 356 - 369 %I Springer %@ 978-3-031-15913-8 %B Lecture Notes in Computer Science %N 13453

%0 Report %A Krithika, R. %A Sharma, Roohani %A Tale, Prafullkumar %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T The Complexity of Contracting Bipartite Graphs into Small Cycles : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1DCB-0 %U https://arxiv.org/abs/2206.07358 %D 2022 %X For a positive integer $\ell \geq 3$, the $C_\ell$-Contractibility problem<br>takes as input an undirected simple graph $G$ and determines whether $G$ can be<br>transformed into a graph isomorphic to $C_\ell$ (the induced cycle on $\ell$<br>vertices) using only edge contractions. Brouwer and Veldman [JGT 1987] showed<br>that $C_4$-Contractibility is NP-complete in general graphs. It is easy to<br>verify that $C_3$-Contractibility is polynomial-time solvable. Dabrowski and<br>Paulusma [IPL 2017] showed that $C_{\ell}$-Contractibility is \NP-complete\ on<br>bipartite graphs for $\ell = 6$ and posed as open problems the status of the<br>problem when $\ell$ is 4 or 5. In this paper, we show that both<br>$C_5$-Contractibility and $C_4$-Contractibility are NP-complete on bipartite<br>graphs.<br> %K Computer Science, Computational Complexity, cs.CC

%0 Conference Proceedings %A K&#252;nnemann, Marvin %A Nusser, Andr&#233; %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Polygon Placement Revisited: (Degree of Freedom + 1)-SUM Hardness and an Improvement via Offline Dynamic Rectangle Union : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1F8F-2 %R 10.1137/1.9781611977073 %D 2022 %B Thirty-Third Annual ACM-SIAM Symposium on Discrete Algorithms %Z date of event: 2022-01-09 - 2022-01-12 %C Virtual %B Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms %E Naor, Seffi; Buchbinder, Niv %P 3181 - 3201 %I SIAM %@ 978-1-61197-707-3

%0 Conference Proceedings %A Mansouri, Farnam %A Simon, Hans U. %A Singla, Adish %A Zilles, Sandra %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T On Batch Teaching with Sample Complexity Bounded by VCD : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1601-A %D 2022 %B 36th Conference on Neural Information Processing Systems %Z date of event: 2022-11-28 - 2022-12-09 %C New Orleans, LA, USA %B Advances in Neural Information Processing Systems 35 %E Koyejo, S.; Mohamed, S.; Agarwal, A.; Belgrave, D.; Cho, K.; Oh, A. %P 15732 - 15742 %I Curran Associates, Inc %U https://openreview.net/pdf?id=wKf5dRSartn

%0 Report %A Nederlof, Jesper %A Pilipczuk, Micha&#322; %A W&#281;grzycki, Karol %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Bounding Generalized Coloring Numbers of Planar Graphs Using Coin Models : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1EF3-1 %U https://arxiv.org/abs/2201.09340 %D 2022 %X We study Koebe orderings of planar graphs: vertex orderings obtained by<br>modelling the graph as the intersection graph of pairwise internally-disjoint<br>discs in the plane, and ordering the vertices by non-increasing radii of the<br>associated discs. We prove that for every $d\in \mathbb{N}$, any such ordering<br>has $d$-admissibility bounded by $O(d/\ln d)$ and weak $d$-coloring number<br>bounded by $O(d^4 \ln d)$. This in particular shows that the $d$-admissibility<br>of planar graphs is bounded by $O(d/\ln d)$, which asymptotically matches a<br>known lower bound due to Dvo\v{r}\'ak and Siebertz.<br> %K Mathematics, Combinatorics, math.CO,Computer Science, Discrete Mathematics, cs.DM

%0 Conference Proceedings %A Nederlof, Jesper %A Pilipczuk, Micha&#322; %A Swennenhuis, C&#233;line M. F. %A W&#281;grzycki, Karol %+ External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Isolation Schemes for Problems on Decomposable Graphs : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1EEC-A %R 10.4230/LIPIcs.STACS.2022.50 %U urn:nbn:de:0030-drops-158601 %D 2022 %B 39th International Symposium on Theoretical Aspects of Computer Science %Z date of event: 2022-03-15 - 2022-03-18 %C Marseille, France (Virtual Conference) %B 39th International Symposium on Theoretical Aspects of Computer Science %E Berenbrink, Petra; Monmege, Benjamin %P 1 - 20 %Z sequence number: 50 %I Schloss Dagstuhl %@ 978-3-95977-222-8 %B Leibniz International Proceedings in Informatics %N 219 %@ false

%0 Report %A Nederlof, Jesper %A Swennenhuis, C&#233;line M. F. %A W&#281;grzycki, Karol %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Makespan Scheduling of Unit Jobs with Precedence Constraints in O(1.995n) time : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1F35-7 %U https://arxiv.org/abs/2208.02664 %D 2022 %X In a classical scheduling problem, we are given a set of $n$ jobs of unit<br>length along with precedence constraints and the goal is to find a schedule of<br>these jobs on $m$ identical machines that minimizes the makespan. This problem<br>is well-known to be NP-hard for an unbounded number of machines. Using standard<br>3-field notation, it is known as $P|\text{prec}, p_j=1|C_{\max}$.<br> We present an algorithm for this problem that runs in $O(1.995^n)$ time.<br>Before our work, even for $m=3$ machines the best known algorithms ran in<br>$O^\ast(2^n)$ time. In contrast, our algorithm works when the number of<br>machines $m$ is unbounded. A crucial ingredient of our approach is an algorithm<br>with a runtime that is only single-exponential in the vertex cover of the<br>comparability graph of the precedence constraint graph. This heavily relies on<br>insights from a classical result by Dolev and Warmuth (Journal of Algorithms<br>1984) for precedence graphs without long chains.<br> %K Computer Science, Data Structures and Algorithms, cs.DS

%0 Thesis %A Nusser, Andr&#233; %Y Bringmann, Karl %A referee: Mehlhorn, Kurt %A referee: Chan, Timothy %A referee: de Ber, Mark %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society International Max Planck Research School, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Fine-Grained Complexity and Algorithm Engineering of Geometric Similarity Measures : %G eng %U http://hdl.handle.net/21.11116/0000-000C-2693-3 %R 10.22028/D291-37018 %U urn:nbn:de:bsz:291--ds-370184 %F OTHER: hdl:20.500.11880/33904 %I Universit&#228;t des Saarlandes %C Saarbr&#252;cken %D 2022 %P XIV, 210 p. %V phd %9 phd %U https://publikationen.sulb.uni-saarland.de/handle/20.500.11880/33904

%0 Journal Article %A Ray Chaudhury, Bhaskar %A Cheung, Yun Kuen %A Garg, Jugal %A Garg, Naveen %A Hoefer, Martin %A Mehlhorn, Kurt %+ External Organizations External Organizations External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Fair Division of Indivisible Goods for a Class of Concave Valuations : %G eng %U http://hdl.handle.net/21.11116/0000-000A-9DB8-6 %R 10.1613/jair.1.12911 %7 2022 %D 2022 %J Journal of Artificial Intelligence Research %V 74 %& 111 %P 111 - 142 %I AI Access Foundation %C S.l. %@ false

%0 Journal Article %A Roth, Marc %A Schmitt, Johannes %A Wellnitz, Philip %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Counting Small Induced Subgraphs Satisfying Monotone Properties : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1EB6-6 %R 10.1137/20M1365624 %7 2022 %D 2022 %J SIAM Journal on Computing %& FOCS20-139 %P FOCS20-139 - FOCS20-174 %I SIAM %C Philadelphia, PA %@ false

%0 Thesis %A Wiederhake, Ben %Y Lenzen, Christoph %A referee: Mehlhorn, Kurt %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Pulse Propagation, Graph Cover, and Packet Forwarding : %G eng %U http://hdl.handle.net/21.11116/0000-000A-CEBE-9 %R 10.22028/D291-36608 %U nbn:de:bsz:291--ds-366085 %F OTHER: hdl:20.500.11880/33316 %I Universit&#228;t des Saarlandes %C Saarbr&#252;cken %D 2022 %P 83 p. %V phd %9 phd %X We study distributed systems, with a particular focus on graph problems and fault<br>tolerance.<br>Fault-tolerance in a microprocessor or even System-on-Chip can be improved by using<br>a fault-tolerant pulse propagation design. The existing design TRIX achieves this goal<br>by being a distributed system consisting of very simple nodes. We show that even in<br>the typical mode of operation without faults, TRIX performs significantly better than a<br>regular wire or clock tree: Statistical evaluation of our simulated experiments show that<br>we achieve a skew with standard deviation of O(log log H), where H is the height of the<br>TRIX grid.<br>The distance-r generalization of classic graph problems can give us insights on how<br>distance affects hardness of a problem. For the distance-r dominating set problem, we<br>present both an algorithmic upper and unconditional lower bound for any graph class<br>with certain high-girth and sparseness criteria. In particular, our algorithm achieves a<br>O(r &#183; f(r))-approximation in time O(r), where f is the expansion function, which correlates<br>with density. For constant r, this implies a constant approximation factor, in constant<br>time. We also show that no algorithm can achieve a (2r + 1 &#8722; &#948;)-approximation for any<br>&#948; > 0 in time O(r), not even on the class of cycles of girth at least 5r. Furthermore, we<br>extend the algorithm to related graph cover problems and even to a different execution<br>model.<br>Furthermore, we investigate the problem of packet forwarding, which addresses the<br>question of how and when best to forward packets in a distributed system. These packets<br>are injected by an adversary. We build on the existing algorithm OED to handle more<br>than a single destination. In particular, we show that buffers of size O(log n) are sufficient<br>for this algorithm, in contrast to O(n) for the naive approach. %U https://publikationen.sulb.uni-saarland.de/handle/20.500.11880/33316

%0 Conference Proceedings %A Woodruff, David %A Zandieh, Amir %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Leverage Score Sampling for Tensor Product Matrices in Input Sparsity Time : %G eng %U http://hdl.handle.net/21.11116/0000-000C-9101-E %U https://proceedings.mlr.press/v162/woodruff22a.html %D 2022 %B 39th International Conference on Machine Learning %Z date of event: 2022-07-17 - 2022-07-23 %C Baltimore, MA, USA %B Proceedings of the 39th International Conference on Machine Learning %E Chaudhuri, Kamalika; Jegelka, Stefanie; Le, Song; Csaba, Szepesvari; Gang, Niu; Sabato, Sivan %P 23933 - 23964 %B Proceedings of the Machine Learning Research %N 162 %@ false

%0 Report %A Zandieh, Amir %A Han, Insu %A Avron, Haim %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Near Optimal Reconstruction of Spherical Harmonic Expansions : %G eng %U http://hdl.handle.net/21.11116/0000-000C-9105-A %U https://arxiv.org/abs/2202.12995 %D 2022 %X We propose an algorithm for robust recovery of the spherical harmonic<br>expansion of functions defined on the d-dimensional unit sphere<br>$\mathbb{S}^{d-1}$ using a near-optimal number of function evaluations. We show<br>that for any $f \in L^2(\mathbb{S}^{d-1})$, the number of evaluations of $f$<br>needed to recover its degree-$q$ spherical harmonic expansion equals the<br>dimension of the space of spherical harmonics of degree at most $q$ up to a<br>logarithmic factor. Moreover, we develop a simple yet efficient algorithm to<br>recover degree-$q$ expansion of $f$ by only evaluating the function on<br>uniformly sampled points on $\mathbb{S}^{d-1}$. Our algorithm is based on the<br>connections between spherical harmonics and Gegenbauer polynomials and leverage<br>score sampling methods. Unlike the prior results on fast spherical harmonic<br>transform, our proposed algorithm works efficiently using a nearly optimal<br>number of samples in any dimension d. We further illustrate the empirical<br>performance of our algorithm on numerical examples.<br> %K Mathematics, Numerical Analysis, math.NA,Computer Science, Data Structures and Algorithms, cs.DS,Computer Science, Learning, cs.LG,Computer Science, Numerical Analysis, cs.NA,eess.SP

%0 Report %A Akrami, Hannaneh %A Ray Chaudhury, Bhaskar %A Hoefer, Martin %A Mehlhorn, Kurt %A Schmalhofer, Marco %A Shahkarami, Golnoosh %A Varricchio, Giovanna %A Vermande, Quentin %A van Wijland, Ernest %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations External Organizations %T Maximizing Nash Social Welfare in 2-Value Instances : %G eng %U http://hdl.handle.net/21.11116/0000-000C-2000-F %U https://arxiv.org/abs/2107.08965 %D 2021 %X We consider the problem of maximizing the Nash social welfare when allocating<br>a set $\mathcal{G}$ of indivisible goods to a set $\mathcal{N}$ of agents. We<br>study instances, in which all agents have 2-value additive valuations: The<br>value of every agent $i \in \mathcal{N}$ for every good $j \in \mathcal{G}$ is<br>$v_{ij} \in \{p,q\}$, for $p,q \in \mathbb{N}$, $p \le q$. Maybe surprisingly,<br>we design an algorithm to compute an optimal allocation in polynomial time if<br>$p$ divides $q$, i.e., when $p=1$ and $q \in \mathbb{N}$ after appropriate<br>scaling. The problem is \classNP-hard whenever $p$ and $q$ are coprime and $p<br>\ge 3$.<br> In terms of approximation, we present positive and negative results for<br>general $p$ and $q$. We show that our algorithm obtains an approximation ratio<br>of at most 1.0345. Moreover, we prove that the problem is \classAPX-hard, with<br>a lower bound of $1.000015$ achieved at $p/q = 4/5$.<br> %K Computer Science, Computer Science and Game Theory, cs.GT

%0 Report %A Akrami, Hannaneh %A Ray Chaudhury, Bhaskar %A Mehlhorn, Kurt %A Shahkarami, Golnoosh %A Vermande, Quentin %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Nash Social Welfare for 2-value Instances : %G eng %U http://hdl.handle.net/21.11116/0000-0008-DB45-4 %U https://arxiv.org/abs/2106.14816 %D 2021 %X We study the problem of allocating a set of indivisible goods among agents<br>with 2-value additive valuations. Our goal is to find an allocation with<br>maximum Nash social welfare, i.e., the geometric mean of the valuations of the<br>agents. We give a polynomial-time algorithm to find a Nash social welfare<br>maximizing allocation when the valuation functions are integrally 2-valued,<br>i.e., each agent has a value either $1$ or $p$ for each good, for some positive<br>integer $p$. We then extend our algorithm to find a better approximation factor<br>for general 2-value instances.<br> %K Computer Science, Computer Science and Game Theory, cs.GT

%0 Report %A Amanatidis, Georgios %A Kleer, Pieter %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Approximate Sampling and Counting of Graphs with Near-Regular Degree Intervals : %G eng %U http://hdl.handle.net/21.11116/0000-0009-B839-8 %U https://arxiv.org/abs/2110.09068 %D 2021 %X The approximate uniform sampling of graphs with a given degree sequence is a<br>well-known, extensively studied problem in theoretical computer science and has<br>significant applications, e.g., in the analysis of social networks. In this<br>work we study an extension of the problem, where degree intervals are specified<br>rather than a single degree sequence. We are interested in sampling and<br>counting graphs whose degree sequences satisfy the degree interval constraints.<br>A natural scenario where this problem arises is in hypothesis testing on social<br>networks that are only partially observed.<br> In this work, we provide the first fully polynomial almost uniform sampler<br>(FPAUS) as well as the first fully polynomial randomized approximation scheme<br>(FPRAS) for sampling and counting, respectively, graphs with near-regular<br>degree intervals, in which every node $i$ has a degree from an interval not too<br>far away from a given $d \in \N$. In order to design our FPAUS, we rely on<br>various state-of-the-art tools from Markov chain theory and combinatorics. In<br>particular, we provide the first non-trivial algorithmic application of a<br>breakthrough result of Liebenau and Wormald (2017) regarding an asymptotic<br>formula for the number of graphs with a given near-regular degree sequence.<br>Furthermore, we also make use of the recent breakthrough of Anari et al. (2019)<br>on sampling a base of a matroid under a strongly log-concave probability<br>distribution.<br> As a more direct approach, we also study a natural Markov chain recently<br>introduced by Rechner, Strowick and M\"uller-Hannemann (2018), based on three<br>simple local operations: Switches, hinge flips, and additions/deletions of a<br>single edge. We obtain the first theoretical results for this Markov chain by<br>showing it is rapidly mixing for the case of near-regular degree intervals of<br>size at most one.<br> %K Computer Science, Discrete Mathematics, cs.DM,Computer Science, Data Structures and Algorithms, cs.DS,Mathematics, Combinatorics, math.CO

%0 Conference Proceedings %A Anagnostides, Ioannis %A Gouleakis, Themis %A Marashian, Ali %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Robust Learning under Strong Noise via SQs : %G eng %U http://hdl.handle.net/21.11116/0000-0007-DBCD-C %U https://proceedings.mlr.press/v130/anagnostides21a.html %D 2021 %B 24th International Conference on Artificial Intelligence and Statistics %Z date of event: 2021-04-13 - 2021-04-15 %C Virtual Conference %B Proceedings of the 24th International Conference on Artificial Intelligence and Statistics %E Banerjee, Arindam; Fukumizu, Kenli %P 3808 - 3816 %I PMLR %B Proceedings of the Machine Learning Research %N 130

%0 Conference Proceedings %A Anagnostides, Ioannis %A Gouleakis, Themis %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Deterministic Distributed Algorithms and Lower Bounds in the Hybrid Model : %G eng %U http://hdl.handle.net/21.11116/0000-000C-7306-C %R 10.4230/LIPIcs.DISC.2021.5 %U urn:nbn:de:0030-drops-148077 %D 2021 %B 35th International Symposium on Distributed Computing %Z date of event: 2021-10-04 - 2021-10-08 %C Freiburg, Germany (Virtual Conference) %B 35th International Symposium on Distributed Computing %E Gilbert, Seth %P 1 - 19 %Z sequence number: 5 %I Schloss Dagstuhl %@ 978-3-95977-210-5 %B Leibniz International Proceedings in Informatics %N 209 %@ false %U https://drops.dagstuhl.de/opus/volltexte/2021/14807/https://creativecommons.org/licenses/by/4.0/legalcode

%0 Report %A Anagnostides, Ioannis %A Lenzen, Christoph %A Haeupler, Bernhard %A Zuzic, Goran %A Gouleakis, Themis %+ External Organizations External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Almost Universally Optimal Distributed Laplacian Solvers via Low-Congestion Shortcuts : %G eng %U http://hdl.handle.net/21.11116/0000-0009-B83F-2 %U https://arxiv.org/abs/2109.05151 %D 2021 %X In this work we refine the analysis of the distributed Laplacian solver<br>recently established by Forster, Goranci, Liu, Peng, Sun, and Ye (FOCS '21),<br>via the Ghaffari-Haeupler framework (SODA '16) of low-congestion shortcuts.<br>Specifically, if $\epsilon > 0$ represents the error of the solver, we derive<br>two main results. First, for any $n$-node graph $G$ with hop-diameter $D$ and<br>treewidth bounded by $k$, we show the existence of a Laplacian solver with<br>round complexity $O(n^{o(1)}kD \log(1/\epsilon))$ in the CONGEST model. For<br>graphs with bounded treewidth this circumvents the notorious $\Omega(\sqrt{n})$<br>lower bound for "global" problems in general graphs. Moreover, following a<br>recent line of work in distributed algorithms, we consider a hybrid<br>communication model which enhances CONGEST with very limited global power in<br>the form of the recently introduced node-capacitated clique. In this model, we<br>show the existence of a Laplacian solver with round complexity $O(n^{o(1)}<br>\log(1/\epsilon))$. The unifying thread of these results is an application of<br>accelerated distributed algorithms for a congested variant of the standard<br>part-wise aggregation problem that we introduce. This primitive constitutes the<br>primary building block for simulating "local" operations on low-congestion<br>minors, and we believe that this framework could be more generally applicable.<br> %K Computer Science, Distributed, Parallel, and Cluster Computing, cs.DC

%0 Conference Proceedings %A An, Haozhe %A Gurumukhani, Mohit %A Impagliazzo, Russell %A Jaber, Michael %A K&#252;nnemann, Marvin %A Parga Nina, Maria Paula %+ External Organizations External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T The Fine-Grained Complexity of Multi-Dimensional Ordering Properties : %G eng %U http://hdl.handle.net/21.11116/0000-0009-CBD6-1 %R 10.4230/LIPIcs.IPEC.2021.3 %U urn:nbn:de:0030-drops-153869 %D 2021 %B 16th International Symposium on Parameterized and Exact Computation %Z date of event: 2021-09-08 - 2021-09-10 %C Lisbon, Portugal %B 16th International Symposium on Parameterized and Exact Computation %E Golovach, Petr A.; Zehavi, Meirav %P 1 - 15 %Z sequence number: 3 %I Schloss Dagstuhl %@ 978-3-95977-216-7 %B Leibniz International Proceedings in Informatics %N 214 %U https://drops.dagstuhl.de/opus/volltexte/2021/15386/https://creativecommons.org/licenses/by/4.0/legalcode

%0 Report %A Antoniadis, Antonios %A Hoeksma, Ruben %A Kisfaludi-Bak, S&#225;ndor %A Schewior, Kevin %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Online Search for a Hyperplane in High-Dimensional Euclidean Space : %G eng %U http://hdl.handle.net/21.11116/0000-0009-B814-1 %U https://arxiv.org/abs/2109.04340 %D 2021 %X We consider the online search problem in which a server starting at the<br>origin of a $d$-dimensional Euclidean space has to find an arbitrary<br>hyperplane. The best-possible competitive ratio and the length of the shortest<br>curve from which each point on the $d$-dimensional unit sphere can be seen are<br>within a constant factor of each other. We show that this length is in<br>$\Omega(d)\cap O(d^{3/2})$.<br> %K Computer Science, Computational Geometry, cs.CG,Computer Science, Data Structures and Algorithms, cs.DS

%0 Conference Proceedings %A Axiotis, Kyriakos %A Backurs, Arturs %A Bringmann, Karl %A Jin, Ce %A Nakos, Vasileios %A Tzamos, Christos %A Wu, Hongxun %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Fast and Simple Modular Subset Sum : %G eng %U http://hdl.handle.net/21.11116/0000-0007-56CF-0 %R 10.1137/1.9781611976496.6 %D 2021 %B SIAM Symposium on Simplicity in Algorithms %Z date of event: 2021-01-11 - 2021-01-12 %C Alexandria, VA, USA (Virtual Conference) %B Symposium on Simplicity in Algorithms %E King, Valerie; Viet Le, Hung %P 57 - 67 %I SIAM %@ 978-1-61197-649-6

%0 Journal Article %A Becker, Ruben %A Forster, Sebastian %A Karrenbauer, Andreas %A Lenzen, Christoph %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Near-Optimal Approximate Shortest Paths and Transshipment in Distributed and Streaming Models : %G eng %U http://hdl.handle.net/21.11116/0000-0008-E543-A %R 10.1137/19M1286955 %7 2021 %D 2021 %J SIAM Journal on Computing %V 50 %N 3 %& 815 %P 815 - 856 %I SIAM %C Philadelphia %@ false

%0 Journal Article %A Berendsohn, Benjamin Aram %A Kozma, L&#225;szl&#243; %A Marx, D&#225;niel %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Finding and Counting Permutations via CSPs : %G eng %U http://hdl.handle.net/21.11116/0000-0008-3403-A %R 10.1007/s00453-021-00812-z %7 2021 %D 2021 %J Algorithmica %V 83 %& 2552 %P 2552 - 2577 %I Springer %C New York, NY %@ false

%0 Report %A Bringmann, Karl %A Slusallek, Jasper %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Current Algorithms for Detecting Subgraphs of Bounded Treewidth are Probably Optimal : %G eng %U http://hdl.handle.net/21.11116/0000-0008-E25F-F %U https://arxiv.org/abs/2105.05062 %D 2021 %X The Subgraph Isomorphism problem is of considerable importance in computer<br>science. We examine the problem when the pattern graph H is of bounded<br>treewidth, as occurs in a variety of applications. This problem has a<br>well-known algorithm via color-coding that runs in time $O(n^{tw(H)+1})$ [Alon,<br>Yuster, Zwick'95], where $n$ is the number of vertices of the host graph $G$.<br>While there are pattern graphs known for which Subgraph Isomorphism can be<br>solved in an improved running time of $O(n^{tw(H)+1-\varepsilon})$ or even<br>faster (e.g. for $k$-cliques), it is not known whether such improvements are<br>possible for all patterns. The only known lower bound rules out time<br>$n^{o(tw(H) / \log(tw(H)))}$ for any class of patterns of unbounded treewidth<br>assuming the Exponential Time Hypothesis [Marx'07].<br> In this paper, we demonstrate the existence of maximally hard pattern graphs<br>$H$ that require time $n^{tw(H)+1-o(1)}$. Specifically, under the Strong<br>Exponential Time Hypothesis (SETH), a standard assumption from fine-grained<br>complexity theory, we prove the following asymptotic statement for large<br>treewidth $t$: For any $\varepsilon > 0$ there exists $t \ge 3$ and a pattern<br>graph $H$ of treewidth $t$ such that Subgraph Isomorphism on pattern $H$ has no<br>algorithm running in time $O(n^{t+1-\varepsilon})$.<br> Under the more recent 3-uniform Hyperclique hypothesis, we even obtain tight<br>lower bounds for each specific treewidth $t \ge 3$: For any $t \ge 3$ there<br>exists a pattern graph $H$ of treewidth $t$ such that for any $\varepsilon>0$<br>Subgraph Isomorphism on pattern $H$ has no algorithm running in time<br>$O(n^{t+1-\varepsilon})$.<br> In addition to these main results, we explore (1) colored and uncolored<br>problem variants (and why they are equivalent for most cases), (2) Subgraph<br>Isomorphism for $tw < 3$, (3) Subgraph Isomorphism parameterized by pathwidth,<br>and (4) a weighted problem variant.<br> %K Computer Science, Data Structures and Algorithms, cs.DS,Computer Science, Computational Complexity, cs.CC,

%0 Conference Proceedings %A Bringmann, Karl %A Fischer, Nick %A Nakos, Vasileios %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Sparse Nonnegative Convolution is Equivalent to Dense Nonnegative Convolution : %G eng %U http://hdl.handle.net/21.11116/0000-0008-E23F-3 %R 10.1145/3406325.3451090 %D 2021 %B 53rd Annual ACM SIGACT Symposium on Theory of Computing %Z date of event: 2021-06-21 - 2021-06-25 %C Virtual, Italy %B STOC '21 %E Khuller, Samir; Vassilevska Williams, Virginia %P 1711 - 1724 %I ACM %@ 9781450380539

%0 Journal Article %A Bringmann, Karl %A K&#252;nnemann, Marvin %A Nusser, Andr&#233; %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Walking the Dog Fast in Practice: Algorithm Engineering of the Fr&#233;chet Distance : %G eng %U http://hdl.handle.net/21.11116/0000-000C-1F8A-7 %R 10.20382/jocg.v12i1a4 %7 2021 %D 2021 %J Journal of Computational Geometry %V 12 %N 1 %& 70 %P 70 - 108 %I JoCG.org

%0 Report %A Bringmann, Karl %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Fine-Grained Complexity Theory: Conditional Lower Bounds for Computational Geometry : %G eng %U http://hdl.handle.net/21.11116/0000-0009-B42E-9 %U https://arxiv.org/abs/2110.10283 %D 2021 %X Fine-grained complexity theory is the area of theoretical computer science<br>that proves conditional lower bounds based on the Strong Exponential Time<br>Hypothesis and similar conjectures. This area has been thriving in the last<br>decade, leading to conditionally best-possible algorithms for a wide variety of<br>problems on graphs, strings, numbers etc. This article is an introduction to<br>fine-grained lower bounds in computational geometry, with a focus on lower<br>bounds for polynomial-time problems based on the Orthogonal Vectors Hypothesis.<br>Specifically, we discuss conditional lower bounds for nearest neighbor search<br>under the Euclidean distance and Fr\'echet distance.<br> %K Computer Science, Computational Geometry, cs.CG,Computer Science, Data Structures and Algorithms, cs.DS

%0 Conference Proceedings %A Bringmann, Karl %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Fine-Grained Complexity Theory: Conditional Lower Bounds for Computational Geometry : %G eng %U http://hdl.handle.net/21.11116/0000-0009-B428-F %R 10.1007/978-3-030-80049-9_6 %D 2021 %B 17th Conference on Computability in Europe %Z date of event: 2021-07-05 - 2021-07-09 %C Ghent, Belgium (Virtual Event) %B Connecting with Computability %E De Mol, Liesbeth; Weiermann, Andreas; Manea, Florin; Fern&#225;ndez-Duque, David %P 60 - 70 %I Springer %@ 978-3-030-80048-2 %B Lecture Notes in Computer Science %N 12813

%0 Report %A Bringmann, Karl %A Nusser, Andr&#233; %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Translating Hausdorff is Hard: Fine-Grained Lower Bounds for Hausdorff Distance Under Translation : %G eng %U http://hdl.handle.net/21.11116/0000-0008-E242-E %U https://arxiv.org/abs/2101.07696 %D 2021 %X Computing the similarity of two point sets is a ubiquitous task in medical<br>imaging, geometric shape comparison, trajectory analysis, and many more<br>settings. Arguably the most basic distance measure for this task is the<br>Hausdorff distance, which assigns to each point from one set the closest point<br>in the other set and then evaluates the maximum distance of any assigned pair.<br>A drawback is that this distance measure is not translational invariant, that<br>is, comparing two objects just according to their shape while disregarding<br>their position in space is impossible.<br> Fortunately, there is a canonical translational invariant version, the<br>Hausdorff distance under translation, which minimizes the Hausdorff distance<br>over all translations of one of the point sets. For point sets of size $n$ and<br>$m$, the Hausdorff distance under translation can be computed in time $\tilde<br>O(nm)$ for the $L_1$ and $L_\infty$ norm [Chew, Kedem SWAT'92] and $\tilde O(nm<br>(n+m))$ for the $L_2$ norm [Huttenlocher, Kedem, Sharir DCG'93].<br> As these bounds have not been improved for over 25 years, in this paper we<br>approach the Hausdorff distance under translation from the perspective of<br>fine-grained complexity theory. We show (i) a matching lower bound of<br>$(nm)^{1-o(1)}$ for $L_1$ and $L_\infty$ assuming the Orthogonal Vectors<br>Hypothesis and (ii) a matching lower bound of $n^{2-o(1)}$ for $L_2$ in the<br>imbalanced case of $m = O(1)$ assuming the 3SUM Hypothesis.<br> %K Computer Science, Computational Geometry, cs.CG,Computer Science, Computational Complexity, cs.CC

%0 Journal Article %A Bringmann, Karl %A K&#252;nnemann, Marvin %A Nusser, Andr&#233; %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Discrete Fr&#233;chet Distance under Translation: Conditional Hardness and an Improved Algorithm : %G eng %U http://hdl.handle.net/21.11116/0000-0009-2A8B-C %R 10.1145/3460656 %7 2021 %D 2021 %J ACM Transactions on Algorithms %V 17 %N 3 %& 1 %P 1 - 42 %Z sequence number: 25 %I ACM %C New York, NY %@ false

%0 Journal Article %A Bringmann, Karl %A Nusser, Andr&#233; %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Translating Hausdorff is Hard: Fine-Grained Lower Bounds for Hausdorff Distance under Translation : %G eng %U http://hdl.handle.net/21.11116/0000-000C-2690-6 %R 10.20382/jocg.v13i2a3 %7 2021 %D 2021 %J Journal of Computational Geometry %V 13 %N 2 %& 30 %P 30 - 50 %I JoCG.org

%0 Report %A Bringmann, Karl %A Nakos, Vasileios %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Fast n-fold Boolean Convolution via Additive Combinatorics : %G eng %U http://hdl.handle.net/21.11116/0000-0008-E25B-3 %U https://arxiv.org/abs/2105.03968 %D 2021 %X We consider the problem of computing the Boolean convolution (with<br>wraparound) of $n$~vectors of dimension $m$, or, equivalently, the problem of<br>computing the sumset $A_1+A_2+\ldots+A_n$ for $A_1,\ldots,A_n \subseteq<br>\mathbb{Z}_m$. Boolean convolution formalizes the frequent task of combining<br>two subproblems, where the whole problem has a solution of size $k$ if for some<br>$i$ the first subproblem has a solution of size~$i$ and the second subproblem<br>has a solution of size $k-i$. Our problem formalizes a natural generalization,<br>namely combining solutions of $n$ subproblems subject to a modular constraint.<br>This simultaneously generalises Modular Subset Sum and Boolean Convolution<br>(Sumset Computation). Although nearly optimal algorithms are known for special<br>cases of this problem, not even tiny improvements are known for the general<br>case.<br> We almost resolve the computational complexity of this problem, shaving<br>essentially a factor of $n$ from the running time of previous algorithms.<br>Specifically, we present a \emph{deterministic} algorithm running in<br>\emph{almost} linear time with respect to the input plus output size $k$. We<br>also present a \emph{Las Vegas} algorithm running in \emph{nearly} linear<br>expected time with respect to the input plus output size $k$. Previously, no<br>deterministic or randomized $o(nk)$ algorithm was known.<br> At the heart of our approach lies a careful usage of Kneser's theorem from<br>Additive Combinatorics, and a new deterministic almost linear output-sensitive<br>algorithm for non-negative sparse convolution. In total, our work builds a<br>solid toolbox that could be of independent interest.<br> %K Computer Science, Data Structures and Algorithms, cs.DS

%0 Report %A Bringmann, Karl %A Driemel, Anne %A Nusser, Andr&#233; %A Psarros, Ioannis %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Tight Bounds for Approximate Near Neighbor Searching for Time Series under the Fr&#233;chet Distance : %G eng %U http://hdl.handle.net/21.11116/0000-0009-B43F-6 %U https://arxiv.org/abs/2107.07792 %D 2021 %X We study the $c$-approximate near neighbor problem under the continuous<br>Fr\'echet distance: Given a set of $n$ polygonal curves with $m$ vertices, a<br>radius $\delta > 0$, and a parameter $k \leq m$, we want to preprocess the<br>curves into a data structure that, given a query curve $q$ with $k$ vertices,<br>either returns an input curve with Fr\'echet distance at most $c\cdot \delta$<br>to $q$, or returns that there exists no input curve with Fr\'echet distance at<br>most $\delta$ to $q$. We focus on the case where the input and the queries are<br>one-dimensional polygonal curves -- also called time series -- and we give a<br>comprehensive analysis for this case. We obtain new upper bounds that provide<br>different tradeoffs between approximation factor, preprocessing time, and query<br>time.<br> Our data structures improve upon the state of the art in several ways. We<br>show that for any $0 < \varepsilon \leq 1$ an approximation factor of<br>$(1+\varepsilon)$ can be achieved within the same asymptotic time bounds as the<br>previously best result for $(2+\varepsilon)$. Moreover, we show that an<br>approximation factor of $(2+\varepsilon)$ can be obtained by using<br>preprocessing time and space $O(nm)$, which is linear in the input size, and<br>query time in $O(\frac{1}{\varepsilon})^{k+2}$, where the previously best<br>result used preprocessing time in $n \cdot O(\frac{m}{\varepsilon k})^k$ and<br>query time in $O(1)^k$. We complement our upper bounds with matching<br>conditional lower bounds based on the Orthogonal Vectors Hypothesis.<br>Interestingly, some of our lower bounds already hold for any super-constant<br>value of $k$. This is achieved by proving hardness of a one-sided sparse<br>version of the Orthogonal Vectors problem as an intermediate problem, which we<br>believe to be of independent interest.<br> %K Computer Science, Computational Geometry, cs.CG,Computer Science, Computational Complexity, cs.CC,Computer Science, Data Structures and Algorithms, cs.DS

%0 Conference Proceedings %A Bringmann, Karl %A Slusallek, Jasper %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Current Algorithms for Detecting Subgraphs of Bounded Treewidth Are Probably Optimal : %G eng %U http://hdl.handle.net/21.11116/0000-0008-DB85-B %R 10.4230/LIPIcs.ICALP.2021.40 %U urn:nbn:de:0030-drops-141095 %D 2021 %B 48th International Colloquium on Automata, Languages, and Programming %Z date of event: 2021-07-12 - 2020-07-16 %C Glasgow, UK (Virtual Conference) %B 48th International Colloquium on Automata, Languages, and Programming %E Bansal, Nikhil; Merelli, Emanuela; Worrell, James %P 1 - 16 %Z sequence number: 40 %I Schloss Dagstuhl %@ 978-3-95977-195-5 %B Leibniz International Proceedings in Informatics %N 198 %@ false %U https://drops.dagstuhl.de/opus/volltexte/2021/14109/https://creativecommons.org/licenses/by/4.0/legalcode

%0 Conference Proceedings %A Bringmann, Karl %A Das, Debarati %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T A Linear-Time n0.4-Approximation for Longest Common Subsequence : %G eng %U http://hdl.handle.net/21.11116/0000-0008-DB7B-8 %R 10.4230/LIPIcs.ICALP.2021.39 %U urn:nbn:de:0030-drops-141082 %D 2021 %B 48th International Colloquium on Automata, Languages, and Programming %Z date of event: 2021-07-12 - 2020-07-16 %C Glasgow, UK (Virtual Conference) %B 48th International Colloquium on Automata, Languages, and Programming %E Bansal, Nikhil; Merelli, Emanuela; Worrell, James %P 1 - 20 %Z sequence number: 39 %I Schloss Dagstuhl %@ 978-3-95977-195-5 %B Leibniz International Proceedings in Informatics %N 198 %@ false %U https://drops.dagstuhl.de/opus/volltexte/2021/14108/https://creativecommons.org/licenses/by/4.0/legalcode

%0 Report %A Bringmann, Karl %A Kapralov, Michael %A Makarov, Mikhail %A Nakos, Vasileios %A Yagudin, Amir %A Zandieh, Amir %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Sparse Fourier Transform by Traversing Cooley-Tukey FFT Computation Graphs : %G eng %U http://hdl.handle.net/21.11116/0000-0009-B459-8 %U https://arxiv.org/abs/2107.07347 %D 2021 %X Computing the dominant Fourier coefficients of a vector is a common task in<br>many fields, such as signal processing, learning theory, and computational<br>complexity. In the Sparse Fast Fourier Transform (Sparse FFT) problem, one is<br>given oracle access to a $d$-dimensional vector $x$ of size $N$, and is asked<br>to compute the best $k$-term approximation of its Discrete Fourier Transform,<br>quickly and using few samples of the input vector $x$. While the sample<br>complexity of this problem is quite well understood, all previous approaches<br>either suffer from an exponential dependence of runtime on the dimension $d$ or<br>can only tolerate a trivial amount of noise. This is in sharp contrast with the<br>classical FFT algorithm of Cooley and Tukey, which is stable and completely<br>insensitive to the dimension of the input vector: its runtime is $O(N\log N)$<br>in any dimension $d$.<br> In this work, we introduce a new high-dimensional Sparse FFT toolkit and use<br>it to obtain new algorithms, both on the exact, as well as in the case of<br>bounded $\ell_2$ noise. This toolkit includes i) a new strategy for exploring a<br>pruned FFT computation tree that reduces the cost of filtering, ii) new<br>structural properties of adaptive aliasing filters recently introduced by<br>Kapralov, Velingker and Zandieh'SODA'19, and iii) a novel lazy estimation<br>argument, suited to reducing the cost of estimation in FFT tree-traversal<br>approaches. Our robust algorithm can be viewed as a highly optimized sparse,<br>stable extension of the Cooley-Tukey FFT algorithm.<br> Finally, we explain the barriers we have faced by proving a conditional<br>quadratic lower bound on the running time of the well-studied non-equispaced<br>Fourier transform problem. This resolves a natural and frequently asked<br>question in computational Fourier transforms. Lastly, we provide a preliminary<br>experimental evaluation comparing the runtime of our algorithm to FFTW and SFFT<br>2.0.<br> %K Computer Science, Data Structures and Algorithms, cs.DS

%0 Conference Proceedings %A Bringmann, Karl %A Nusser, Andr&#233; %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Translating Hausdorff Is Hard: Fine-Grained Lower Bounds for Hausdorff Distance Under Translation : %G eng %U http://hdl.handle.net/21.11116/0000-0008-DB6F-6 %R 10.4230/LIPIcs.SoCG.2021.18 %U urn:nbn:de:0030-drops-138177 %D 2021 %B 37th International Symposium on Computational Geometry %Z date of event: 2021-06-07 - 2021-06-11 %C Buffalo, NY, USA (Virtual Conference) %B 37th International Symposium on Computational Geometry %E Buchin, Kevin; Colin de Verdi&#232;re, &#201;rich %P 1 - 17 %Z sequence number: 18 %I Schloss Dagstuhl %@ 978-3-95977-184-9 %B Leibniz International Proceedings in Informatics %N 189 %@ false %U https://drops.dagstuhl.de/opus/volltexte/2021/13817/https://creativecommons.org/licenses/by/4.0/legalcode

%0 Conference Proceedings %A Bringmann, Karl %A Nakos, Vasileios %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Fast n-Fold Boolean Convolution via Additive Combinatorics : %G eng %U http://hdl.handle.net/21.11116/0000-0008-DB8E-2 %R 10.4230/LIPIcs.ICALP.2021.41 %U urn:nbn:de:0030-drops-141108 %D 2021 %B 48th International Colloquium on Automata, Languages, and Programming %Z date of event: 2021-07-12 - 2020-07-16 %C Glasgow, UK (Virtual Conference) %B 48th International Colloquium on Automata, Languages, and Programming %E Bansal, Nikhil; Merelli, Emanuela; Worrell, James %P 1 - 17 %Z sequence number: 41 %I Schloss Dagstuhl %@ 978-3-95977-195-5 %B Leibniz International Proceedings in Informatics %N 198 %@ false %U https://drops.dagstuhl.de/opus/volltexte/2021/14110/pdf/LIPIcs-ICALP-2021-41.pdfhttps://creativecommons.org/licenses/by/4.0/legalcode

%0 Report %A Bringmann, Karl %A Fischer, Nick %A Nakos, Vasileios %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Deterministic and Las Vegas Algorithms for Sparse Nonnegative Convolution : %G eng %U http://hdl.handle.net/21.11116/0000-0009-B454-D %U https://arxiv.org/abs/2107.07625 %D 2021 %X Computing the convolution $A\star B$ of two length-$n$ integer vectors $A,B$<br>is a core problem in several disciplines. It frequently comes up in algorithms<br>for Knapsack, $k$-SUM, All-Pairs Shortest Paths, and string pattern matching<br>problems. For these applications it typically suffices to compute convolutions<br>of nonnegative vectors. This problem can be classically solved in time $O(n\log<br>n)$ using the Fast Fourier Transform.<br> However, often the involved vectors are sparse and hence one could hope for<br>output-sensitive algorithms to compute nonnegative convolutions. This question<br>was raised by Muthukrishnan and solved by Cole and Hariharan (STOC '02) by a<br>randomized algorithm running in near-linear time in the (unknown) output-size<br>$t$. Chan and Lewenstein (STOC '15) presented a deterministic algorithm with a<br>$2^{O(\sqrt{\log t\cdot\log\log n})}$ overhead in running time and the<br>additional assumption that a small superset of the output is given; this<br>assumption was later removed by Bringmann and Nakos (ICALP '21).<br> In this paper we present the first deterministic near-linear-time algorithm<br>for computing sparse nonnegative convolutions. This immediately gives improved<br>deterministic algorithms for the state-of-the-art of output-sensitive Subset<br>Sum, block-mass pattern matching, $N$-fold Boolean convolution, and others,<br>matching up to log-factors the fastest known randomized algorithms for these<br>problems. Our algorithm is a blend of algebraic and combinatorial ideas and<br>techniques.<br> Additionally, we provide two fast Las Vegas algorithms for computing sparse<br>nonnegative convolutions. In particular, we present a simple $O(t\log^2t)$ time<br>algorithm, which is an accessible alternative to Cole and Hariharan's<br>algorithm. We further refine this new algorithm to run in Las Vegas time<br>$O(t\log t\cdot\log\log t)$, matching the running time of the dense case apart<br>from the $\log\log t$ factor.<br> %K Computer Science, Data Structures and Algorithms, cs.DS

%0 Report %A Bringmann, Karl %A Nakos, Vasileios %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Top-k-Convolution and the Quest for Near-Linear Output-Sensitive Subset Sum : %G eng %U http://hdl.handle.net/21.11116/0000-0009-B434-1 %U https://arxiv.org/abs/2107.13206 %D 2021 %X In the classical Subset Sum problem we are given a set $X$ and a target $t$,<br>and the task is to decide whether there exists a subset of $X$ which sums to<br>$t$. A recent line of research has resulted in $\tilde{O}(t)$-time algorithms,<br>which are (near-)optimal under popular complexity-theoretic assumptions. On the<br>other hand, the standard dynamic programming algorithm runs in time $O(n \cdot<br>|\mathcal{S}(X,t)|)$, where $\mathcal{S}(X,t)$ is the set of all subset sums of<br>$X$ that are smaller than $t$. Furthermore, all known pseudopolynomial<br>algorithms actually solve a stronger task, since they actually compute the<br>whole set $\mathcal{S}(X,t)$.<br> As the aforementioned two running times are incomparable, in this paper we<br>ask whether one can achieve the best of both worlds: running time<br>$\tilde{O}(|\mathcal{S}(X,t)|)$. In particular, we ask whether<br>$\mathcal{S}(X,t)$ can be computed in near-linear time in the output-size.<br>Using a diverse toolkit containing techniques such as color coding, sparse<br>recovery, and sumset estimates, we make considerable progress towards this<br>question and design an algorithm running in time<br>$\tilde{O}(|\mathcal{S}(X,t)|^{4/3})$.<br> Central to our approach is the study of top-$k$-convolution, a natural<br>problem of independent interest: given sparse polynomials with non-negative<br>coefficients, compute the lowest $k$ non-zero monomials of their product. We<br>design an algorithm running in time $\tilde{O}(k^{4/3})$, by a combination of<br>sparse convolution and sumset estimates considered in Additive Combinatorics.<br>Moreover, we provide evidence that going beyond some of the barriers we have<br>faced requires either an algorithmic breakthrough or possibly new techniques<br>from Additive Combinatorics on how to pass from information on restricted<br>sumsets to information on unrestricted sumsets.<br> %K Computer Science, Data Structures and Algorithms, cs.DS,Computer Science, Discrete Mathematics, cs.DM

%0 Conference Proceedings %A Bringmann, Karl %A Cassis, Alejandro %A Fischer, Nick %A K&#252;nnemann, Marvin %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Fine-Grained Completeness for Optimization in P : %G eng %U http://hdl.handle.net/21.11116/0000-0009-B411-8 %R 10.4230/LIPIcs.APPROX/RANDOM.2021.9 %U urn:nbn:de:0030-drops-147024 %D 2021 %B 24th International Conference on Approximation Algorithms for Combinatorial Optimization Problems and the 25th International Conference on Randomization and Computation %Z date of event: 2021-08-16 - 2021-08-18 %C Seattle, WA, USA %B Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques %E Wootters, Mary; Sanit&#224;, Laura %P 1 - 22 %Z sequence number: 9 %I Schloss Dagstuhl %@ 978-3-95977-207-5 %B Leibniz International Proceedings in Informatics %N 207 %@ false

%0 Report %A Bringmann, Karl %A Cassis, Alejandro %A Fischer, Nick %A K&#252;nnemann, Marvin %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Fine-Grained Completeness for Optimization in P : %G eng %U http://hdl.handle.net/21.11116/0000-0008-E26A-2 %U https://arxiv.org/abs/2107.01721 %D 2021 %X We initiate the study of fine-grained completeness theorems for exact and<br>approximate optimization in the polynomial-time regime. Inspired by the first<br>completeness results for decision problems in P (Gao, Impagliazzo, Kolokolova,<br>Williams, TALG 2019) as well as the classic class MaxSNP and<br>MaxSNP-completeness for NP optimization problems (Papadimitriou, Yannakakis,<br>JCSS 1991), we define polynomial-time analogues MaxSP and MinSP, which contain<br>a number of natural optimization problems in P, including Maximum Inner<br>Product, general forms of nearest neighbor search and optimization variants of<br>the $k$-XOR problem. Specifically, we define MaxSP as the class of problems<br>definable as $\max_{x_1,\dots,x_k} \#\{ (y_1,\dots,y_\ell) :<br>\phi(x_1,\dots,x_k, y_1,\dots,y_\ell) \}$, where $\phi$ is a quantifier-free<br>first-order property over a given relational structure (with MinSP defined<br>analogously). On $m$-sized structures, we can solve each such problem in time<br>$O(m^{k+\ell-1})$. Our results are:<br> - We determine (a sparse variant of) the Maximum/Minimum Inner Product<br>problem as complete under *deterministic* fine-grained reductions: A strongly<br>subquadratic algorithm for Maximum/Minimum Inner Product would beat the<br>baseline running time of $O(m^{k+\ell-1})$ for *all* problems in MaxSP/MinSP by<br>a polynomial factor.<br> - This completeness transfers to approximation: Maximum/Minimum Inner Product<br>is also complete in the sense that a strongly subquadratic $c$-approximation<br>would give a $(c+\varepsilon)$-approximation for all MaxSP/MinSP problems in<br>time $O(m^{k+\ell-1-\delta})$, where $\varepsilon > 0$ can be chosen<br>arbitrarily small. Combining our completeness with~(Chen, Williams, SODA 2019),<br>we obtain the perhaps surprising consequence that refuting the OV Hypothesis is<br>*equivalent* to giving a $O(1)$-approximation for all MinSP problems in<br>faster-than-$O(m^{k+\ell-1})$ time.<br> %K Computer Science, Data Structures and Algorithms, cs.DS,Computer Science, Computational Complexity, cs.CC

%0 Conference Proceedings %A Bringmann, Karl %A Nakos, Vasileios %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T A Fine-Grained Perspective on Approximating Subset Sum and Partition : %G eng %U http://hdl.handle.net/21.11116/0000-0007-90DD-D %R 10.1137/1.9781611976465.108 %D 2021 %B 32nd Annual ACM-SIAM Symposium on Discrete Algorithms %Z date of event: 2021-01-10 - 2021-01-13 %C Alexandria, VA, USA (Virtual Conference) %B Proceedings of the Thirty-Second ACM-SIAM Symposium on Discrete Algorithms %E Marx, D&#225;niel %P 1797 - 1815 %I SIAM %@ 978-1-61197-646-5

%0 Conference Proceedings %A Bringmann, Karl %A Wellnitz, Philip %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T On Near-Linear-Time Algorithms for Dense Subset Sum : %G eng %U http://hdl.handle.net/21.11116/0000-0007-8C7E-F %R 10.1137/1.9781611976465.107 %D 2021 %B 32nd Annual ACM-SIAM Symposium on Discrete Algorithms %Z date of event: 2021-01-10 - 2021-01-13 %C Alexandria, VA, USA (Virtual Conference) %B Proceedings of the Thirty-Second ACM-SIAM Symposium on Discrete Algorithms %E Marx, D&#225;niel %P 1777 - 1796 %I SIAM %@ 978-1-61197-646-5

%0 Report %A Bringmann, Karl %A Fischer, Nick %A Nakos, Vasileios %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Sparse Nonnegative Convolution Is Equivalent to Dense Nonnegative Convolution : %G eng %U http://hdl.handle.net/21.11116/0000-0008-E263-9 %U https://arxiv.org/abs/2105.05984 %D 2021 %X Computing the convolution $A\star B$ of two length-$n$ vectors $A,B$ is an<br>ubiquitous computational primitive. Applications range from string problems to<br>Knapsack-type problems, and from 3SUM to All-Pairs Shortest Paths. These<br>applications often come in the form of nonnegative convolution, where the<br>entries of $A,B$ are nonnegative integers. The classical algorithm to compute<br>$A\star B$ uses the Fast Fourier Transform and runs in time $O(n\log n)$.<br> However, often $A$ and $B$ satisfy sparsity conditions, and hence one could<br>hope for significant improvements. The ideal goal is an $O(k\log k)$-time<br>algorithm, where $k$ is the number of non-zero elements in the output, i.e.,<br>the size of the support of $A\star B$. This problem is referred to as sparse<br>nonnegative convolution, and has received considerable attention in the<br>literature; the fastest algorithms to date run in time $O(k\log^2 n)$.<br> The main result of this paper is the first $O(k\log k)$-time algorithm for<br>sparse nonnegative convolution. Our algorithm is randomized and assumes that<br>the length $n$ and the largest entry of $A$ and $B$ are subexponential in $k$.<br>Surprisingly, we can phrase our algorithm as a reduction from the sparse case<br>to the dense case of nonnegative convolution, showing that, under some mild<br>assumptions, sparse nonnegative convolution is equivalent to dense nonnegative<br>convolution for constant-error randomized algorithms. Specifically, if $D(n)$<br>is the time to convolve two nonnegative length-$n$ vectors with success<br>probability $2/3$, and $S(k)$ is the time to convolve two nonnegative vectors<br>with output size $k$ with success probability $2/3$, then<br>$S(k)=O(D(k)+k(\log\log k)^2)$.<br> Our approach uses a variety of new techniques in combination with some old<br>machinery from linear sketching and structured linear algebra, as well as new<br>insights on linear hashing, the most classical hash function.<br> %K Computer Science, Data Structures and Algorithms, cs.DS,Computer Science, Computational Complexity, cs.CC

%0 Report %A Bringmann, Karl %A Cohen-Addad, Vincent %A Das, Debarati %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T A Linear-Time n0.4-Approximation for Longest Common Subsequence : %G eng %U http://hdl.handle.net/21.11116/0000-0008-E267-5 %U https://arxiv.org/abs/2106.08195 %D 2021 %X We consider the classic problem of computing the Longest Common Subsequence<br>(LCS) of two strings of length $n$. While a simple quadratic algorithm has been<br>known for the problem for more than 40 years, no faster algorithm has been<br>found despite an extensive effort. The lack of progress on the problem has<br>recently been explained by Abboud, Backurs, and Vassilevska Williams [FOCS'15]<br>and Bringmann and K\"unnemann [FOCS'15] who proved that there is no<br>subquadratic algorithm unless the Strong Exponential Time Hypothesis fails.<br>This has led the community to look for subquadratic approximation algorithms<br>for the problem.<br> Yet, unlike the edit distance problem for which a constant-factor<br>approximation in almost-linear time is known, very little progress has been<br>made on LCS, making it a notoriously difficult problem also in the realm of<br>approximation. For the general setting, only a naive<br>$O(n^{\varepsilon/2})$-approximation algorithm with running time<br>$\tilde{O}(n^{2-\varepsilon})$ has been known, for any constant $0 <<br>\varepsilon \le 1$. Recently, a breakthrough result by Hajiaghayi, Seddighin,<br>Seddighin, and Sun [SODA'19] provided a linear-time algorithm that yields a<br>$O(n^{0.497956})$-approximation in expectation; improving upon the naive<br>$O(\sqrt{n})$-approximation for the first time.<br> In this paper, we provide an algorithm that in time $O(n^{2-\varepsilon})$<br>computes an $\tilde{O}(n^{2\varepsilon/5})$-approximation with high<br>probability, for any $0 < \varepsilon \le 1$. Our result (1) gives an<br>$\tilde{O}(n^{0.4})$-approximation in linear time, improving upon the bound of<br>Hajiaghayi, Seddighin, Seddighin, and Sun, (2) provides an algorithm whose<br>approximation scales with any subquadratic running time $O(n^{2-\varepsilon})$,<br>improving upon the naive bound of $O(n^{\varepsilon/2})$ for any $\varepsilon$,<br>and (3) instead of only in expectation, succeeds with high probability.<br> %K Computer Science, Data Structures and Algorithms, cs.DS,

%0 Conference Proceedings %A Charalampopoulos, Panagiotis %A Kociumaka, Tomasz %A Wellnitz, Philip %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Faster Approximate Pattern Matching: A Unified Approach : %G eng %U http://hdl.handle.net/21.11116/0000-0007-8C66-9 %R 10.1109/FOCS46700.2020 %D 2021 %B 61st Annual IEEE Symposium on Foundations of Computer Science %Z date of event: 2020-11-16 - 2020-11-19 %C Durham, NC, USA (Virtual Conference) %B FOCS 2020 %P 978 - 989 %I IEEE %@ 978-1-7281-9621-3

%0 Thesis %A Chaudhury, Bhaskar Ray %Y Mehlhorn, Kurt %A referee: Bringmann, Karl %A referee: Roughgarden, Tim %A referee: Moulin, Herve %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society International Max Planck Research School, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Finding Fair and Efficient Allocations : %G eng %U http://hdl.handle.net/21.11116/0000-0009-9CC9-5 %R 10.22028/D291-34537 %U nbn:de:bsz:291--ds-345370 %F OTHER: hdl:20.500.11880/31737 %I Universit&#228;t des Saarlandes %C Saarbr&#252;cken %D 2021 %P 173 p. %V phd %9 phd %U https://publikationen.sulb.uni-saarland.de/handle/20.500.11880/31737

%0 Conference Proceedings %A Chaudhury, Bhaskar Ray %A Garg, Jugal %A Mehlhorn, Kurt %A Mehta, Ruta %A Misra, Pranabendu %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Improving EFX Guarantees through Rainbow Cycle Number : %G eng %U http://hdl.handle.net/21.11116/0000-0009-B3F6-7 %R 10.1145/3465456.3467605 %D 2021 %B 22nd ACM Conference on Economics and Computation %Z date of event: 2021-07-18 - 2021-07-23 %C Budapest, Hungary (Virtual) %B EC '21 %E Bir&#243;, P&#233;ter; Chawla, Shuchi; Echenique, Federico; Sodomka, Eric %P 310 - 311 %I ACM %@ 978-1-4503-8554-1

%0 Conference Proceedings %A Cheraghchi, Mahdi %A Nakos, Vasileios %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Combinatorial Group Testing and Sparse Recovery Schemes with Near-Optimal Decoding Time : %G eng %U http://hdl.handle.net/21.11116/0000-0007-56C6-9 %R 10.1109/FOCS46700.2020 %D 2021 %B 61st Annual IEEE Symposium on Foundations of Computer Science %Z date of event: 2020-11-16 - 2020-11-19 %C Durham, NC, USA (Virtual Conference) %B FOCS 2020 %P 1203 - 1213 %I IEEE %@ 978-1-7281-9621-3

%0 Conference Proceedings %A Coupette, Corinna %A Singh, Jyotsna %A Spamann, Holger %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Simplify Your Law: Using Information Theory to Deduplicate Legal Documents : %G eng %U http://hdl.handle.net/21.11116/0000-000A-5E10-B %R 10.1109/ICDMW53433.2021.00083 %D 2021 %B 21st IEEE International Conference on Data Mining Workshops %Z date of event: 2021-12-07 - 2021-12-10 %C Virtual Conference %B 21st IEEE International Conference on Data Mining Workshops %E Xue, Bing; Pechenizkiy, Mykola; Koh, Yun Sing %P 631 - 638 %I IEEE %@ 978-1-6654-2428-8

%0 Journal Article %A Coupette, Corinna %A Beckedorf, Janis %A Hartung, Dirk %A Bommarito, Michael %A Katz, Daniel Martin %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations External Organizations External Organizations %T Measuring Law Over Time: A Network Analytical Framework with an Application to Statutes and Regulations in the United States and Germany : %G eng %U http://hdl.handle.net/21.11116/0000-0008-D8FA-B %R 10.3389/fphy.2021.658463 %7 2021 %D 2021 %J Frontiers in Physics %V 9 %Z sequence number: 658463 %I Frontiers Media %C Lausanne %@ false

%0 Conference Proceedings %A Coupette, Corinna %A Vreeken, Jilles %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Graph Similarity Description: How Are These Graphs Similar? : %G eng %U http://hdl.handle.net/21.11116/0000-0009-652C-5 %R 10.1145/3447548.3467257 %D 2021 %B 27th ACM SIGKDD Conference on Knowledge Discovery and Data Mining %Z date of event: 2021-08-14 - 2021-08-18 %C Virtual Event, Singapore %B KDD '21 %E Zhu, Fieda; Ooi, Beng, Chin; Miao, Chunyan; Cong, Gao; Tang, Jiliang; Derr, Tyler %P 185 - 195 %I ACM %@ 978-1-4503-8332-5

%0 Conference Proceedings %A Coupette, Corinna %A Lenzen, Christoph %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society %T A Breezing Proof of the KMW Bound : %G eng %U http://hdl.handle.net/21.11116/0000-0007-7A44-4 %R 10.1137/1.9781611976496.21 %D 2021 %B SIAM Symposium on Simplicity in Algorithms %Z date of event: 2021-01-11 - 2021-01-12 %C Alexandria, VA, USA (Virtual Conference) %B Symposium on Simplicity in Algorithms %E King, Valerie; Viet Le, Hung %P 184 - 195 %I SIAM %@ 978-1-61197-649-6

%0 Journal Article %A Cruciani, Emilio %A Natale, Emanuele %A Nusser, Andr&#233; %A Scornavacca, Giacomo %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Phase Transition of the 2-Choices Dynamics on Core-Periphery Networks : %G eng %U http://hdl.handle.net/21.11116/0000-0008-BA11-3 %R 10.1007/s00446-021-00396-5 %7 2021 %D 2021 %J Distributed Computing %V 34 %& 207 %P 207 - 225 %I Springer International %C Berlin %@ false

%0 Journal Article %A Darwish, Omar %A Elmasry, Amr %A Katajainen, Jyrki %+ Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations %T Memory-Adjustable Navigation Piles with Applications to Sorting and Convex Hulls : %G eng %U http://hdl.handle.net/21.11116/0000-0008-D8F2-3 %R 10.1145/3452938 %7 2021 %D 2021 %J ACM Transactions on Algorithms %V 17 %N 2 %Z sequence number: 18 %I ACM %C New York, NY %@ false

%0 Journal Article %A Dayama, Niraj Ramesh %A Shiripour, Morteza %A Oulasvirta, Antti %A Ivanko, Evgeny %A Karrenbauer, Andreas %+ External Organizations External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Foraging-based Optimization of Menu Systems : %G eng %U http://hdl.handle.net/21.11116/0000-0008-9D57-6 %R 10.1016/j.ijhcs.2021.102624 %7 2021 %D 2021 %J International Journal of Human-Computer Studies %V 151 %Z sequence number: 102624 %I Elsevier %C Amsterdam %@ false

%0 Conference Proceedings %A de Berg, Mark %A Kisfaludi-Bak, S&#225;ndor %A Monemizadeh, Morteza %A Theocharous, Leonidas %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Clique-Based Separators for Geometric Intersection Graphs : %G eng %U http://hdl.handle.net/21.11116/0000-0009-B811-4 %R 10.4230/LIPIcs.ISAAC.2021.22 %U urn:nbn:de:0030-drops-154556 %D 2021 %B 32nd International Symposium on Algorithms and Computation %Z date of event: 2021-12-06 - 2021-12-08 %C Fukuoka, Japan %B 32nd International Symposium on Algorithms and Computation %E Ahn, Hee-Kap; Sadakane, Kunihiko %P 1 - 15 %Z sequence number: 22 %I Schloss Dagstuhl %@ 978-3-95977-214-3 %B Leibniz International Proceedings in Informatics %N 212 %@ false

%0 Conference Proceedings %A Diakonikolas, Ilias %A Gouleakis, Themis %A Kane, Daniel M. %A Peebles, John %A Price, Eric %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations External Organizations %T Optimal Testing of Discrete Distributions with High Probability : %G eng %U http://hdl.handle.net/21.11116/0000-000A-CD4F-8 %R 10.1145/3406325.3450997 %D 2021 %B 53rd Annual ACM SIGACT Symposium on Theory of Computing %Z date of event: 2021-06-21 - 2021-06-25 %C Virtual, Italy %B STOC '21 %E Khuller, Samir; Vassilevska Williams, Virginia %P 542 - 555 %I ACM %@ 9781450380539

%0 Journal Article %A D&#246;rfler, Julian %A Roth, Marc %A Schmitt, Johannes %A Wellnitz, Philip %+ External Organizations External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society %T Counting Induced Subgraphs: An Algebraic Approach to #W[1]-hardness : %G eng %U http://hdl.handle.net/21.11116/0000-0009-A583-8 %R 10.1007/s00453-021-00894-9 %7 2021 %D 2021 %J Algorithmica %I Springer-Verlag %C New York %@ false

%0 Journal Article %A Driemel, Anne %A Nusser, Andr&#233; %A Phillips, Jeff M. %A Psarros, Ioannis %+ External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T The VC Dimension of Metric Balls under Fr&#233;chet and Hausdorff Distances : %G eng %U http://hdl.handle.net/21.11116/0000-0009-414C-9 %R 10.1007/s00454-021-00318-z %7 2021 %D 2021 %J Discrete & Computational Geometry %I Springer %C New York, NY %@ false

%0 Journal Article %A Dyer, Martin %A Greenhill, Catherine %A Kleer, Pieter %A Ross, James %A Stougie, Leen %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T Sampling Hypergraphs with Given Degrees : %G eng %U http://hdl.handle.net/21.11116/0000-0009-B820-3 %R 10.1016/j.disc.2021.112566 %7 2021 %D 2021 %J Discrete Mathematics %V 344 %N 11 %Z sequence number: 112566 %I Elsevier %C Amsterdam %@ false

%0 Journal Article %A Feit, Anna Maria %A Nancel, Mathieu %A John, Maximilian %A Karrenbauer, Andreas %A Weir, Daryl %A Oulasvirta, Antti %+ External Organizations External Organizations Algorithms and Complexity, MPI for Informatics, Max Planck Society Algorithms and Complexity, MPI for Informatics, Max Planck Society External Organizations External Organizations %T AZERTY Am&#233;lior&#233;: Computational Design on a National Scale : %G eng %U http://hdl.handle.net/21.11116/0000-0007-E78E-5 %R 10.1145/3382035 %7 2021 %D 2021 %K {F}r\'{e}chet %J Communications of the ACM %V 64 %N 2 %& 48 %P 48 - 58 %I Association for Computing Machinery, Inc. %C New York %@ false