A note on the complexity of local search problems

  • Authors:
  • S. T. Fischer

  • Affiliations:
  • -

  • Venue:
  • Information Processing Letters
  • Year:
  • 1995

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Abstract

In this paper, we study the complexity of the question whether there exist locally optimal solutions near a given feasible solution. We show that for some problems in PLS, this question is NP-complete. On the other hand, there are also PLS-complete problems for which this question is in P.