%0 Journal Article %T A 0.821-ratio purely combinatorial algorithm for maximum $k$-vertex cover in bipartite graphs %A Edouard Bonnet %A Bruno Escoffier %A Vangelis Paschos %A Georgios Stamoulis %J Computer Science %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1409.6952v2