A note on a recent attempt to improve the Pin-Frankl bound

François Gonze, Raphäel M. Jungers, Avraham N. Trahtman

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

We provide a counterexample to a lemma used in a recent tentative improvement of the Pin-Frankl bound for synchronizing automata. This example naturally leads us to formulate an open question, whose answer could fix the line of the proof, and improve the bound.

Original languageEnglish
Pages (from-to)307-308
Number of pages2
JournalDiscrete Mathematics and Theoretical Computer Science
Volume17
Issue number1
StatePublished - 2015

Bibliographical note

Publisher Copyright:
© 2015 Discrete Mathematics and Theoretical Computer Science (DMTCS).

Keywords

  • Automata
  • Synchronization
  • Černý's conjecture

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