Volume 52, Number 1, January–March 2018
|Page(s)||305 - 314|
|Published online||30 May 2018|
Combinatorial approximation of maximum k-vertex cover in bipartite graphs within ratio 0.7
Université Paris-Dauphine, PSL* Research University,
CNRS UMR 7243,
* Corresponding author: firstname.lastname@example.org
Accepted: 30 October 2017
We propose and analyze a simple purely combinatorial algorithm for max k-vertex cover in bipartite graphs, achieving approximation ratio 0.7. The only combinatorial algorithm currently known until now for this problem is the natural greedy algorithm, that achieves ratio (e − 1)/e = 0.632.
Mathematics Subject Classification: 03D15 / 05C70 / 05C85 / 68Q25 / 68W25 / 68W40
Key words: Approximation algorithm / bipartite graph / max k-VERTEX cover
© EDP Sciences, ROADEF, SMAI 2018
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