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arXiv · 1302.5793

Primitive digraphs with large exponents and slowly synchronizing automata

Dmitry S. Ananichev·Vladimir V. Gusev·Mikhail V. Volkov
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Abstract

We present several infinite series of synchronizing automata for which the minimum length of reset words is close to the square of the number of states. All these automata are tightly related to primitive digraphs with large exponent.

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Dmitry S. Ananichev, Vladimir V. Gusev, Mikhail V. Volkov. 2013-04-02. Primitive digraphs with large exponents and slowly synchronizing automata. https://doi.org/10.1007/s10958-013-1392-8

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