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arXiv · 1808.01711

On the Synchronization of Circular Semi-Flower Automata

Shubh N. Singh·Ankit Raj
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Abstract

Pin proved that every circular automaton with a prime number of states containing a non-permutation is synchronizing. In this paper, we investigate the synchronization of circular semi-flower automata. We first prove that every semi-flower automaton is a one-cluster automaton. Subsequently, we prove that every semi-flower automaton containing a 1-cycle is synchronizing. Further, we prove that every circular semi-flower automaton with an odd number of states containing a 2-cycle is synchronizing.

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Shubh N. Singh, Ankit Raj. 2018-08-06. On the Synchronization of Circular Semi-Flower Automata. https://arxiv.org/abs/1808.01711

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