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Generating Synchronizing Automata with L...
Kisielewicz, Andrzej...
Generating Synchronizing Automata with Large Reset Lengths by Kisielewicz, Andrzej ( Author )
Australian National University
01-09-2023
We study synchronizing automata with the shortest reset words of relatively large length. First, we refine the Frankl-Pin result on the length of the shortest words of rank $m$, and the B\'eal, Berlinkov, Perrin, and Steinberg results on the length of the shortest reset words in one-cluster automata. The obtained results are useful in computation aimed in extending the class of small automata for which the \v{C}ern\'y conjecture is verified and discovering new automata with special properties regarding synchronization.
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Article
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English
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MYR 0.01
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http://arxiv.org/abs/1404.3311
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