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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 402, Pages 9–39 (Mi znsl5235)  
This article is cited in 33 scientific papers (total in 33 papers)

Primitive digraphs with large exponents and slowly synchronizing automata

D. S. Ananichev, M. V. Volkov, V. V. Gusev

Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg, Russia
Full-text PDF (368 kB) Citations (33)
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Abstract: We exhibit several infinite series of synchronizing automata. The minimum length of reset words for each of the automata is close to the state number squared. All these automata are tightly related to primitive directed graphs with large exponents.
Key words and phrases: primitive digraph, exponent of a digraph, synchronizing automaton, reset word, synchronization threshold, coloring of a digraph.
Received: 27.12.2011
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 192, Issue 3, Pages 263–278
DOI: https://doi.org/10.1007/s10958-013-1392-8
Bibliographic databases:
Document Type: Article
UDC: 519.713.4+519.172.3
Language: Russian
Citation: D. S. Ananichev, M. V. Volkov, V. V. Gusev, “Primitive digraphs with large exponents and slowly synchronizing automata”, Combinatorics and graph theory. Part IV, RuFiDiM'11, Zap. Nauchn. Sem. POMI, 402, POMI, St. Petersburg, 2012, 9–39; J. Math. Sci. (N. Y.), 192:3 (2013), 263–278
Citation in format AMSBIB
\Bibitem{AnaVolGus12}
\by D.~S.~Ananichev, M.~V.~Volkov, V.~V.~Gusev
\paper Primitive digraphs with large exponents and slowly synchronizing automata
\inbook Combinatorics and graph theory. Part~IV
\bookinfo RuFiDiM'11
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 402
\pages 9--39
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5235}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2981976}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 192
\issue 3
\pages 263--278
\crossref{https://doi.org/10.1007/s10958-013-1392-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884980068}
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    • This publication is cited in the following 33 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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