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Zap. Nauchn. Sem. POMI, 2016, Volume 450, Pages 74–108 (Mi znsl6338)  

Enumeration of regular maps on surfaces of a given genus

E. C. Krasko, A. V. Omelchenko

St. Petersburg Academic University — Nanotechnology Research and Education Centre of the Russian Academy of Sciences (the Academic University), St. Petersburg, Russia

Abstract: In the present work labelled and unlabelled $d$-regular maps on two-dimensional oriented surfaces of arbitrary genus $g$ are enumerated. The case of $d$-regular maps with a single face is considered separately in more detail.

Key words and phrases: regular maps, maps on surfaces of genus $g$, labeled and unlabeled maps.

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English version:
Journal of Mathematical Sciences (New York), 2018, 232:1, 44–60

Bibliographic databases:

UDC: 519.173.2+519.175.3
Received: 18.10.2016

Citation: E. C. Krasko, A. V. Omelchenko, “Enumeration of regular maps on surfaces of a given genus”, Combinatorics and graph theory. Part VIII, Zap. Nauchn. Sem. POMI, 450, POMI, St. Petersburg, 2016, 74–108; J. Math. Sci. (N. Y.), 232:1 (2018), 44–60

Citation in format AMSBIB
\Bibitem{KraOme16}
\by E.~C.~Krasko, A.~V.~Omelchenko
\paper Enumeration of regular maps on surfaces of a~given genus
\inbook Combinatorics and graph theory. Part~VIII
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 450
\pages 74--108
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6338}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3582954}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 232
\issue 1
\pages 44--60
\crossref{https://doi.org/10.1007/s10958-018-3858-1}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85047345556}


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