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arXiv · 1409.6952

A 0.821-ratio purely combinatorial algorithm for maximum $k$-vertex cover in bipartite graphs

Edouard Bonnet·Bruno Escoffier·Vangelis Paschos·Georgios Stamoulis
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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.

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Edouard Bonnet, Bruno Escoffier, Vangelis Paschos, Georgios Stamoulis. 2014-09-24. A 0.821-ratio purely combinatorial algorithm for maximum $k$-vertex cover in bipartite graphs. https://arxiv.org/abs/1409.6952

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