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have a kitchenette, a shower and a living-/bedroom the kitchen is well equipped (with appliances, fridge and freezer) and provides pots and pans, cutlery, and dishes; bedding and towels are supplied as well [...] springen Institut D1 Algorithms & Complexity D2 Computer Vision and Machine Learning D3 Internet Architecture D4 Computer Graphics D5 Databases and Information Systems D6 Visual Computing and Artificial Intelligence [...] Abteilungen D1 Algorithms & Complexity D2 Computer Vision and Machine Learning D3 Internet Architecture D4 Computer Graphics D5 Databases and Information Systems D6 Visual Computing and Artificial Intelligence

springen Institut D1 Algorithms & Complexity D2 Computer Vision and Machine Learning D3 Internet Architecture D4 Computer Graphics D5 Databases and Information Systems D6 Visual Computing and Artificial Intelligence [...] Abteilungen D1 Algorithms & Complexity D2 Computer Vision and Machine Learning D3 Internet Architecture D4 Computer Graphics D5 Databases and Information Systems D6 Visual Computing and Artificial Intelligence [...] RG2 Network and Cloud Systems RG3 Multimodal Language Processing Publikationen Algorithms & Complexity Computer Vision and Machine Learning Internet Architecture Computer Graphics Databases and Information

springen Institut D1 Algorithms & Complexity D2 Computer Vision and Machine Learning D3 Internet Architecture D4 Computer Graphics D5 Databases and Information Systems D6 Visual Computing and Artificial Intelligence [...] Abteilungen D1 Algorithms & Complexity D2 Computer Vision and Machine Learning D3 Internet Architecture D4 Computer Graphics D5 Databases and Information Systems D6 Visual Computing and Artificial Intelligence [...] RG2 Network and Cloud Systems RG3 Multimodal Language Processing Publikationen Algorithms & Complexity Computer Vision and Machine Learning Internet Architecture Computer Graphics Databases and Information

springen Institut D1 Algorithms & Complexity D2 Computer Vision and Machine Learning D3 Internet Architecture D4 Computer Graphics D5 Databases and Information Systems D6 Visual Computing and Artificial Intelligence [...] Abteilungen D1 Algorithms & Complexity D2 Computer Vision and Machine Learning D3 Internet Architecture D4 Computer Graphics D5 Databases and Information Systems D6 Visual Computing and Artificial Intelligence [...] RG2 Network and Cloud Systems RG3 Multimodal Language Processing Publikationen Algorithms & Complexity Computer Vision and Machine Learning Internet Architecture Computer Graphics Databases and Information

springen Institut D1 Algorithms & Complexity D2 Computer Vision and Machine Learning D3 Internet Architecture D4 Computer Graphics D5 Databases and Information Systems D6 Visual Computing and Artificial Intelligence [...] Abteilungen D1 Algorithms & Complexity D2 Computer Vision and Machine Learning D3 Internet Architecture D4 Computer Graphics D5 Databases and Information Systems D6 Visual Computing and Artificial Intelligence [...] RG2 Network and Cloud Systems RG3 Multimodal Language Processing Publikationen Algorithms & Complexity Computer Vision and Machine Learning Internet Architecture Computer Graphics Databases and Information

springen Institut D1 Algorithms & Complexity D2 Computer Vision and Machine Learning D3 Internet Architecture D4 Computer Graphics D5 Databases and Information Systems D6 Visual Computing and Artificial Intelligence [...] Abteilungen D1 Algorithms & Complexity D2 Computer Vision and Machine Learning D3 Internet Architecture D4 Computer Graphics D5 Databases and Information Systems D6 Visual Computing and Artificial Intelligence [...] RG2 Network and Cloud Systems RG3 Multimodal Language Processing Publikationen Algorithms & Complexity Computer Vision and Machine Learning Internet Architecture Computer Graphics Databases and Information

springen Institut D1 Algorithms & Complexity D2 Computer Vision and Machine Learning D3 Internet Architecture D4 Computer Graphics D5 Databases and Information Systems D6 Visual Computing and Artificial Intelligence [...] Abteilungen D1 Algorithms & Complexity D2 Computer Vision and Machine Learning D3 Internet Architecture D4 Computer Graphics D5 Databases and Information Systems D6 Visual Computing and Artificial Intelligence [...] RG2 Network and Cloud Systems RG3 Multimodal Language Processing Publikationen Algorithms & Complexity Computer Vision and Machine Learning Internet Architecture Computer Graphics Databases and Information

of rule- based and probabilistic inference techniques certainly poses major challenges to the development of new and efficient evaluation strategies for user queries. Both logic-based and probabilistic [...] in- consistency. Often, these inconsistencies are not obvious even for a human and can only be uncovered through intricate and potentially expensive inference steps. In large RDF knowledge bases with millions [...] strategies underlie a much higher combinatorial complexity than traditional query evaluation strategies in relational databases. Therefore, exact evaluation algorithms cannot be applied to large volumes of data

relatively simple combinatorial algorithm. Ran Duan DEPT. 1 Algorithms and Complexity Phone +49 681 9325-1009 Email duanran@mpi-inf.mpg.de Kurt Mehlhorn DEPT. 1 Algorithms and Complexity Phone +49 681 9325-1000 [...] supply and demand balance out. But what happens in an economy with many goods, many suppliers, and many buyers? The market models of Fisher and Walras Already in the 19th century, Fisher (1890) and Walras [...] proven by Arrow and Debreu. Arrow and Debreu were awarded the Nobel Prize in Economics for that and for other achievements. Their proof is nevertheless purely a proof of existence and does not produce

research direction in obtaining improved approximation algorithms for such pricing problems. Khaled Elbassioni DEPT. 1 Algorithms and ComplexityPhone +49 681 9325-1007Email elbassio@mpi-inf.mpg.deInternet [...] Optimization Approximation Algorithms for Profi t-maximizing Pricing Problems Approximation Algorithms for Profi t-maximizing Pricing Problems Khaled Elbassioni Approximation Algorithms for Profi t-maximizing [...] is to design polynomial-time algorithms that find a solution which is provably not far from the optimum. Formally, an algorithm is said to be an x-approximation algorithm for a maximization (or minimization)