(1) Department of Mathematical Sciences, Tokyo Denki University, Hatoyama Saitama, 350-0394, Japan;(2) Department of Computer Science, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong
Abstract:
We present an O(n3)-time randomized approximation algorithm for the maximum traveling salesman problem whose expected approximation ratio is asymptotically
, where n is the number of vertices in the input (undirected) graph. This improves the previous best.Part of work done while visiting City University of Hong Kong.