@techreport{,
TITLE = {A faster algorithm for computing a longest common increasing subsequence},
AUTHOR = {Katriel, Irit and Kutz, Martin},
LANGUAGE = {eng},
URL = {http://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/2005-1-007},
NUMBER = {MPI-I-2005-1-007},
INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
ADDRESS = {Saarbr{\"u}cken},
YEAR = {2005},
DATE = {2005},
ABSTRACT = {Let $A=\langle a_1,\dots,a_n\rangle$ and $B=\langle b_1,\dots,b_m \rangle$ be two sequences with $m \ge n$, whose elements are drawn from a totally ordered set. We present an algorithm that finds a longest common increasing subsequence of $A$ and $B$ in $O(m\log m+n\ell\log n)$ time and $O(m + n\ell)$ space, where $\ell$ is the length of the output. A previous algorithm by Yang et al. needs $\Theta(mn)$ time and space, so ours is faster for a wide range of values of $m,n$ and $\ell$.},
TYPE = {Research Report / Max-Planck-Institut für Informatik},
}
