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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 406, Pages 117–156 (Mi znsl5293)  
This article is cited in 2 scientific papers (total in 2 papers)

Some formulas for the number of gluings

A. V. Pastora, O. P. Rodionovab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
b ENAC (l'Ecole Nationale de l'Aviation civile), Toulouse, France
Full-text PDF (385 kB) Citations (2)
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Abstract: In this paper the number of ways to glue a surface of genus $g$ has been investigated. We've proven formulas for the number of gluings sphere from three polygons and from two bicolored polygons. Moreover, we've given a new proofs on the formulas for the number of gluings sphere and torus from two polygons.
Key words and phrases: map, oriented surface, gluing.
Received: 20.11.2012
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 196, Issue 6, Pages 797–817
DOI: https://doi.org/10.1007/s10958-014-1695-4
Bibliographic databases:
Document Type: Article
UDC: 519.115.8+519.111.1
Language: Russian
Citation: A. V. Pastor, O. P. Rodionova, “Some formulas for the number of gluings”, Combinatorics and graph theory. Part V, Zap. Nauchn. Sem. POMI, 406, POMI, St. Petersburg, 2012, 117–156; J. Math. Sci. (N. Y.), 196:6 (2014), 797–817
Citation in format AMSBIB
\Bibitem{PasRod12}
\by A.~V.~Pastor, O.~P.~Rodionova
\paper Some formulas for the number of gluings
\inbook Combinatorics and graph theory. Part~V
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 406
\pages 117--156
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5293}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3032179}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 196
\issue 6
\pages 797--817
\crossref{https://doi.org/10.1007/s10958-014-1695-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84956836045}
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  • https://www.mathnet.ru/eng/znsl/v406/p117
    • 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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