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A 0.821-ratio purely combinatorial algorithm for maximum $k$-vertex cover in bipartite graphs (1409.6952v2)
Published 24 Sep 2014 in cs.DS
Abstract: Our goal in this paper is to propose a \textit{combinatorial algorithm} that beats the only such algorithm known previously, the greedy one. We study the polynomial approximation of the Maximum Vertex Cover Problem in bipartite graphs by a purely combinatorial algorithm and present a computer assisted analysis of it, that finds the worst case approximation guarantee that is bounded below by~0.821.