A d/2 Approximation for Maximum Weight Independent Set in d-Claw Free Graphs

  • Authors:
  • Piotr Berman

  • Affiliations:
  • -

  • Venue:
  • SWAT '00 Proceedings of the 7th Scandinavian Workshop on Algorithm Theory
  • Year:
  • 2000

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Abstract

In this paper we consider the following problem. Given is a d-claw free graph G = (V, E, w) where w : V → R+. Our algorithm finds an independent set A such that w(A*)/w(A) ≤ d/2 where A* is an independent that maximizes w(A*). The previous best polynomial time approximation algorithm obtained w(A*)/w(A) ≤ 2d/3.