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arXiv · 1403.3992

Reset thresholds of automata with two cycle lengths

Vladimir V. Gusev·Elena V. Pribavkina
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Abstract

We present several series of synchronizing automata with multiple parameters, generalizing previously known results. Let p and q be two arbitrary co-prime positive integers, q > p. We describe reset thresholds of the colorings of primitive digraphs with exactly one cycle of length p and one cycle of length q. Also, we study reset thresholds of the colorings of primitive digraphs with exactly one cycle of length q and two cycles of length p.

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Vladimir V. Gusev, Elena V. Pribavkina. 2014-03-17. Reset thresholds of automata with two cycle lengths. https://arxiv.org/abs/1403.3992

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