Circular automata synchronize with high probability
نویسندگان
چکیده
In this paper we prove that a uniformly distributed random circular automaton A n of order synchronizes with high probability (w.h.p.). More precisely, P [ ] = 1 − O ( ) . The main idea the proof is to translate synchronization problem into concerning properties matrix; these are then established by careful analysis stochastic dependence structure among entries matrix. Additionally, provide an upper bound for automata in terms chromatic polynomials circulant graphs.
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2021
ISSN: ['0097-3165', '1096-0899']
DOI: https://doi.org/10.1016/j.jcta.2020.105356