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Matematicheskoe modelirovanie, 2014, Volume 26, Number 11, Pages 18–22 (Mi mm3533)  
This article is cited in 3 scientific papers (total in 3 papers)

Dimer problem on cylinders: recurrences and generating functions

A. M. Karavaev, S. N. Perepechko

Petrozavodsk State University, Faculty of Mathematics, Lenin str., 33, Petrozavodsk, 185910
Full-text PDF (261 kB) Citations (3)
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Abstract: We study properties of recurrences and generating functions that arise from the problem of counting perfect matchings on cylinder graph family. It is shown that the order of the recurrences depends heavily on parity of one of the parameters of the graph family.
Keywords: dimer problem, perfect matchings, generating functions.
Received: 21.03.2014
Bibliographic databases:
Document Type: Article
UDC: 519.175.3
Language: Russian
Citation: A. M. Karavaev, S. N. Perepechko, “Dimer problem on cylinders: recurrences and generating functions”, Matem. Mod., 26:11 (2014), 18–22
Citation in format AMSBIB
\Bibitem{KarPer14}
\by A.~M.~Karavaev, S.~N.~Perepechko
\paper Dimer problem on cylinders: recurrences and generating functions
\jour Matem. Mod.
\yr 2014
\vol 26
\issue 11
\pages 18--22
\mathnet{http://mi.mathnet.ru/mm3533}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3541369}
\elib{https://elibrary.ru/item.asp?id=23421433}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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