Synchronizing finite automata on Eulerian digraphs

  • Authors:
  • Jarkko Kari

  • Affiliations:
  • Department of Computer Science, 15 MLH, University of Iowa, Iowa City, IA

  • Venue:
  • Theoretical Computer Science - Mathematical foundations of computer science
  • Year:
  • 2003

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Abstract

Cerný's conjecture and the road coloring problem are two open problems concerning synchronization of finite automata. We prove these conjectures in the special case that the vertices have uniform in- and outdegrees.