An Improved Approximation Algorithm for Maximum Edge 2-Coloring in Simple Graphs

Authors:
Zhi-Zhong Chen;Ruka Tanahashi
Affiliations:
Department of Mathematical Sciences, Tokyo Denki University, Hatoyama, Saitama 350-0394, Japan;Department of Mathematical Sciences, Tokyo Denki University, Hatoyama, Saitama 350-0394, Japan
Venue:
AAIM '07 Proceedings of the 3rd international conference on Algorithmic Aspects in Information and Management
Year:
2007

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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 $\frac{468}{575}$. This improves on the previous best (trivial) ratio of $\frac{4}{5}$.