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Diskretnyi Analiz i Issledovanie Operatsii, 2008, Volume 15, Issue 4, Pages 44–56 (Mi da540)  
This article is cited in 4 scientific papers (total in 4 papers)

Lower bounds for the length of the shortest carefully synchronizing words for two- and three-letter partial automata

P. V. Martyugin

Ural State University
Full-text PDF (272 kB) Citations (4)
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Abstract: The notion of carefully synchronizing words for partial finite automata (PFA) is introduced. The careful synchronization of PFA is a natural generalization of the synchronization of the deterministic finite automata. Some lower bounds for the length of the shortest carefully synchronizing words are found for an automaton with a given number of states. It is proven that the maximal length of the shortest reset words for two- and three-letter automata grows faster than any polynomial in the number of states. Tabl. 1, illustr. 3, bibl. 11.
Keywords: automata, synchronization.
Received: 18.04.2008
Revised: 13.05.2008
Bibliographic databases:
UDC: 519.713.2
Language: Russian
Citation: P. V. Martyugin, “Lower bounds for the length of the shortest carefully synchronizing words for two- and three-letter partial automata”, Diskretn. Anal. Issled. Oper., 15:4 (2008), 44–56
Citation in format AMSBIB
\Bibitem{Mar08}
\by P.~V.~Martyugin
\paper Lower bounds for the length of the shortest carefully synchronizing words for two- and three-letter partial automata
\jour Diskretn. Anal. Issled. Oper.
\yr 2008
\vol 15
\issue 4
\pages 44--56
\mathnet{http://mi.mathnet.ru/da540}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2543599}
\zmath{https://zbmath.org/?q=an:1249.68103}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    Full-text PDF :128
    References:41
    First page:1
     
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