Elsevier

Theoretical Computer Science

Volume 412, Issue 39, 9 September 2011, Pages 5487-5491
Theoretical Computer Science

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The Černý conjecture for one-cluster automata with prime length cycle

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Abstract

We prove the Černý conjecture for one-cluster automata with prime length cycle. Consequences are given for the hybrid road coloring–Černý conjecture for strongly connected aperiodic digraphs with a proper cycle of prime length.

Keywords

One-cluster automata
Synchronization
Černý conjecture
Reset word

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