An Extremal Series of Eulerian Synchronizing Automata

نویسندگان

  • Marek Szykula
  • Vojtech Vorel
چکیده

We present an infinite series of n-state Eulerian automata whose reset words have length at least (n − 3)/2. This improves the current lower bound on the length of shortest reset words in Eulerian automata. We conjecture that (n − 3)/2 also forms an upper bound for this class and we experimentally verify it for small automata by an exhaustive computation.

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تاریخ انتشار 2016