A clique problem equivalent to graph isomorphism

  • Authors:
  • Dexter Kozen

  • Affiliations:
  • University of California, Berkeley

  • Venue:
  • ACM SIGACT News
  • Year:
  • 1978

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Abstract

A class of graphs called M-graphs is defined. It is shown thati) the problem of determining whether a given M-graph of order n2 has a clique of order n is logspace equivalent to graph isomorphism, andii) for any fixed but arbitrarily small e, the problem of determining whether a given M-graph of order n2 has a clique of order (1-e)n is NP complete.