Approximating the minimum length of synchronizing words is hard

  • Authors:
  • Mikhail V. Berlinkov

  • Affiliations:
  • Department of Algebra and Discrete Mathematics, Ural State University, Ekaterinburg, Russia

  • Venue:
  • CSR'10 Proceedings of the 5th international conference on Computer Science: theory and Applications
  • Year:
  • 2010

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Abstract

We prove that, unless P=NP, no polynomial-time algorithm can approximate the minimum length of synchronizing words for a given synchronizing automaton within a constant factor.