Random instances of a graph coloring problem are hard

  • Authors:
  • Ramarathnam Venkatesan;Leonid Levin

  • Affiliations:
  • Department of Computer Science, Boston University, 111 Cummington St, Boston, MA;Department of Computer Science, Boston University, 111 Cummington St, Boston, MA

  • Venue:
  • STOC '88 Proceedings of the twentieth annual ACM symposium on Theory of computing
  • Year:
  • 1988

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Abstract

NP-complete problems should be hard on some (may be extremely rare) instances. But on generic instances many such problems (especially related to random graphs) have been proven easy. We show the intractability of random instances of a graph coloring problem by modifying the NP-completeness theorem.