Maximum independent sets in graphs of low degree

  • Authors:
  • Vadim Lozin;Martin Milanič

  • Affiliations:
  • Rutgers University, Piscat-away NJ;Rutgers University, Piscataway NJ

  • Venue:
  • SODA '07 Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
  • Year:
  • 2007

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Abstract

We study computational complexity of the maximum independent set problem on graphs of bounded vertex degree. In general, this problem is NP-hard. However, under certain restrictions it becomes polynomial-time solvable. We identify three graph properties to which the complexity of the problem is sensible.