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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 8, Pages 19–25 (Mi ivm3051)  
This article is cited in 1 scientific paper (total in 1 paper)

Realizability of words in mosaic labyrinths

V. I. Grunskaya

Chair of Mathematics and Information Science, Dimitrovgrad Branch of Ul'yanovsk State University, Dimitrovgrad, Ul'yanovsk Region, Russia
Full-text PDF (177 kB) Citations (1)
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Abstract: In this paper we study mosaic labyrinths with the help of words generated by them in the alphabet of labels attached to arcs and vertices of a labyrinth. We consider the problem of the characterization of words generated by a labyrinth. We propose a constructive recognition criterion, it defines whether a word is generated by a labyrinth or not. We establish conditions under which a word can be generated by a unique labyrinth, by a finite number of labyrinths, or by infinitely many labyrinths.
Keywords: mosaic labyrinth, realizable word, consistent word, convolution, $m$-correct word.
Received: 14.05.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 8, Pages 15–19
DOI: https://doi.org/10.3103/S1066369X09080039
Bibliographic databases:
UDC: 519.17+519.713
Language: Russian
Citation: V. I. Grunskaya, “Realizability of words in mosaic labyrinths”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 8, 19–25; Russian Math. (Iz. VUZ), 53:8 (2009), 15–19
Citation in format AMSBIB
\Bibitem{Gru09}
\by V.~I.~Grunskaya
\paper Realizability of words in mosaic labyrinths
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 8
\pages 19--25
\mathnet{http://mi.mathnet.ru/ivm3051}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2584254}
\zmath{https://zbmath.org/?q=an:1192.68411}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 8
\pages 15--19
\crossref{https://doi.org/10.3103/S1066369X09080039}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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