Approximating maximum edge 2-coloring in simple graphs

Authors:
Zhi-Zhong Chen;Sayuri Konno;Yuki Matsushita
Affiliations:
Department of Mathematical Sciences, Tokyo Denki University, Hatoyama, Saitama, Japan;Department of Mathematical Sciences, Tokyo Denki University, Hatoyama, Saitama, Japan;Department of Mathematical Sciences, Tokyo Denki University, Hatoyama, Saitama, Japan
Venue:
AAIM'10 Proceedings of the 6th international conference on Algorithmic aspects in information and management
Year:
2010

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Abstract

We present a polynomial-time approximation algorithm for legally coloring as many edges of a given simple graph as possible using two colors. It achieves an approximation ratio of roughly 0.842 and runs in O(n3m) time, where n (respectively, m) is the number of vertices (respectively, edges) in the input graph. The previously best ratio achieved by a polynomial-time approximation algorithm was 5/6 ≈ 0.833.