In this paper, we introduce and study the Minimum Consistent Subset Cover (MCSC) problem. Given a finite ground set X and a constraint t, find the minimum number of consistent sub...
Byron J. Gao, Martin Ester, Jin-yi Cai, Oliver Sch...
We reduce the approximation factor for Vertex Cover to 2 − Θ( 1√ log n ) (instead of the previous 2 − Θ(log log n log n ), obtained by Bar-Yehuda and Even [2], and by Moni...
Covering and packing integer programs model a large family of combinatorial optimization problems. The current-best approximation algorithms for these are an instance of the basic...
Covering arrays can be applied to the testing of software, hardware and advanced materials, and to the effects of hormone interaction on gene expression. In this paper we develop c...
Brahim Hnich, Steven David Prestwich, Evgeny Selen...
T. Rado conjectured in 1928 that if S is a finite set of axis-parallel squares in the plane, then there exists an independent subset I S of pairwise disjoint squares, such that I ...