Synchronizing Automata Preserving a Chain of Partial Orders

  • Mikhail V. Volkov
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4783)


We present a new class of automata which strictly contains the class of aperiodic automata and shares with the latter certain synchronization properties. In particular, every strongly connected automaton in this new class is synchronizing and has a reset word of length \(\left\lfloor\frac{n(n+1)}6\right\rfloor\) where n is the number of states of the automaton.


deterministic finite automaton synchronizing automaton Černý conjecture congruence on an automaton weakly monotonic automaton strongly connected automaton 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Mikhail V. Volkov
    • 1
  1. 1.Department of Mathematics and Mechanics, Ural State University, 620083 EkaterinburgRussia

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