English

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

Data Structures and Algorithms 2015-04-07 v2

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.

Keywords

Cite

@article{arxiv.1409.6952,
  title  = {A 0.821-ratio purely combinatorial algorithm for maximum $k$-vertex cover in bipartite graphs},
  author = {Edouard Bonnet and Bruno Escoffier and Vangelis Paschos and Georgios Stamoulis},
  journal= {arXiv preprint arXiv:1409.6952},
  year   = {2015}
}

Comments

25 pages, 2 figures

R2 v1 2026-06-22T06:04:45.188Z