An O(n) Time Algorithm For Maximum Induced Matching In Bipartite Star_123-free Graphs
Discrete Mathematics
2014-04-28 v1
Abstract
A matching in a graph is a set of edges no two of which share a common vertex. A matching M is an induced matching if no edge connects two edges of M. The problem of finding a maximum induced matching is known to be NP-hard in general and specifically for bipartite graphs. Lozin has been proposed an O(n^3) time algorithm for this problem on the class of bipartite Star_123,Sun_4-free graphs. In this paper we improve and generalize this result in presenting a simple O(n) time algorithm for maximum induced matching problem in bipartite Star_123-free graphs.
Cite
@article{arxiv.1404.6288,
title = {An O(n) Time Algorithm For Maximum Induced Matching In Bipartite Star_123-free Graphs},
author = {Ruzayn Quaddoura},
journal= {arXiv preprint arXiv:1404.6288},
year = {2014}
}
Comments
This paper is published in World of Computer Science and Information Technology Journal