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 . This improves on the previous best (trivial) ratio of .