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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 402, Pages 83–90 (Mi znsl5239)  
This article is cited in 2 scientific papers (total in 2 papers)

Synchronizing random automata on $4$-letter alphabet

Yu. I. Zaks, E. S. Skvortsov

Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg, Russia
Full-text PDF (201 kB) Citations (2)
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Abstract: The paper deals with the synchronization of a random automaton that is sampled uniformly at random from the set of all automata with $n$ states and $m$ letters. We show that for $m=4$ the probability that a random automaton is synchronizing is larger than a positive constant.
Key words and phrases: syncronizing automaton, random automaton, Cerny conjecture.
Received: 25.08.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 192, Issue 3, Pages 303–306
DOI: https://doi.org/10.1007/s10958-013-1396-4
Bibliographic databases:
Document Type: Article
UDC: 519.713.4
Language: Russian
Citation: Yu. I. Zaks, E. S. Skvortsov, “Synchronizing random automata on $4$-letter alphabet”, Combinatorics and graph theory. Part IV, RuFiDiM'11, Zap. Nauchn. Sem. POMI, 402, POMI, St. Petersburg, 2012, 83–90; J. Math. Sci. (N. Y.), 192:3 (2013), 303–306
Citation in format AMSBIB
\Bibitem{ZakSkv12}
\by Yu.~I.~Zaks, E.~S.~Skvortsov
\paper Synchronizing random automata on $4$-letter alphabet
\inbook Combinatorics and graph theory. Part~IV
\bookinfo RuFiDiM'11
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 402
\pages 83--90
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5239}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2981980}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 192
\issue 3
\pages 303--306
\crossref{https://doi.org/10.1007/s10958-013-1396-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884983194}
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  • https://www.mathnet.ru/eng/znsl/v402/p83
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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