Heuristics for Finding Large Independent Sets, with Applications to Coloring Semi-random Graphs

  • Authors:
  • Uriel Feige;Joe Kilian

  • Affiliations:
  • -;-

  • Venue:
  • FOCS '98 Proceedings of the 39th Annual Symposium on Foundations of Computer Science
  • Year:
  • 1998

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Abstract

We study a semi-random graph model for finding independent sets. For q0, an n-vertex graph with an independent set S of size qn is constructed by blending random and adversarial decisions. Randomly and independently with probability p, each pair of vertices, such that one is in S and the other is not, is connected by an edge. An adversary can then add edges arbitrarily (provided that S remains an independent set). The smaller p is, the larger the control the adversary has over the semi-random graph. We design heuristics that with high probability recover S when p(1+e)ln(n)/|S|, for any constant e0. We show that when p