A list heuristic for vertex cover

  • Authors:
  • David Avis;Tomokazu Imamura

  • Affiliations:
  • School of Computer Science, McGill University, 3480 University, Montreal, Que., Canada H3A 2A7;Graduate School of Informatics, Kyoto University, Japan

  • Venue:
  • Operations Research Letters
  • Year:
  • 2007

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Abstract

We analyze a list heuristic for the vertex cover problem that handles the vertices in a given static order based on the degree sequence. We prove an approximation ratio of at most @D/2+32 for a nonincreasing degree sequence, and show that no ordering can achieve an approximation ratio of less than @D/2.