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An improved approximation algorithm for maximum edge 2-coloring in simple graphs
Authors:Zhi-Zhong Chen  Ruka Tanahashi  Lusheng Wang
Institution:

aDepartment of Mathematical Sciences, Tokyo Denki University, Hatoyama, Saitama 350-0394, Japan

bDepartment of Computer Science, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong

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 468575. This improves on the previous best (trivial) ratio of 45.
Keywords:Approximation algorithms  Maximum edge t-coloring  Maximum b-matching  Randomization  Derandomization
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