The synchronization problem is investigated for the class of locally strongly transitive automata introduced in Carpi and D'Alessandro (2009) [9]. Some extensions of this problem related to the notions of stable set and word of minimal rank of an automaton are studied. An application to synchronizing colorings of aperiodic graphs with a Hamiltonian path is also considered. (C) 2012 Elsevier Inc. All rights reserved.

Independent sets of words and the synchronization problem / D'Alessandro, Flavio; Arturo, Carpi. - In: ADVANCES IN APPLIED MATHEMATICS. - ISSN 0196-8858. - STAMPA. - 50:3(2013), pp. 339-355. [10.1016/j.aam.2012.07.003]

Independent sets of words and the synchronization problem

D'ALESSANDRO, Flavio;
2013

Abstract

The synchronization problem is investigated for the class of locally strongly transitive automata introduced in Carpi and D'Alessandro (2009) [9]. Some extensions of this problem related to the notions of stable set and word of minimal rank of an automaton are studied. An application to synchronizing colorings of aperiodic graphs with a Hamiltonian path is also considered. (C) 2012 Elsevier Inc. All rights reserved.
2013
cerny conjecture; road coloring problem; synchronizing automaton; černý conjecture
01 Pubblicazione su rivista::01a Articolo in rivista
Independent sets of words and the synchronization problem / D'Alessandro, Flavio; Arturo, Carpi. - In: ADVANCES IN APPLIED MATHEMATICS. - ISSN 0196-8858. - STAMPA. - 50:3(2013), pp. 339-355. [10.1016/j.aam.2012.07.003]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/446811
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