Černý's conjecture and the road coloring problem are two open problems concerning synchronization of finite automata. We prove these conjectures in the ...
If the underlying digraph G =(V; E) of a synchronized DFA is Eulerian then there exists a synchronizing word of length at most (n − 2)(n − 1) + 1, where n = ...
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Sep 5, 2001 · Černý's conjecture and the road coloring problem are two open problems concerning synchronizing finite automata. We prove these conjectures ...
Cernı's conjecture and the road coloring problem are two open problems concerning synchronizing finite automata. We prove these conjectures in the special case ...
Mar 23, 2018 · The property that the digraph is Eulerian gives that the automaton is strongly connected, and the common value of the outdegree and the ...
Mar 15, 2012 · An automaton is Eulerian if its underlying graph admits an Eulerian directed ... Kari, J: Synchronizing finite automata on Eulerian digraphs, ...
Deterministic finite automata: A = hQ, Σ,δi. • Q the state set. • Σ the input alphabet. • δ : Q × Σ → Q the transition function. A is called synchronizing ...
A new version of the so-called extension method that was used to prove quadratic upper bounds on the minimum length of reset words for various important ...
When we deal with a fixed DFA, we simplify our notation by suppressing the sign of the transition function: we write ⟨Q, Σ⟩ for ⟨Q, Σ,δ⟩ and q.w for δ(q, w).
Oct 15, 2020 · In this paper we consider the Černý conjecture from the point of view of colored digraphs corresponding to automata.