A factor 2 approximation algorithm for the vertex cover P3 problem

  • Authors:
  • Jianhua Tu;Wenli Zhou

  • Affiliations:
  • School of Science, Beijing University of Chemical Technology, Beijing 100029, China;IBM Research - China, Beijing 100193, China

  • Venue:
  • Information Processing Letters
  • Year:
  • 2011

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Abstract

We consider the vertex coverP"n (VCP"n) problem, that is, the problem of finding a minimum weight set F@?V such that the graph G[V-F] has no P"n, where P"n is a path with n vertices. The problem also has its application background. In this paper, we restrict our attention to the VCP"3 problem and give a 2-approximation algorithm using the technique of layering.