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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

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

This article is cited in 4 papers

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.

UDC: 519.173.2+519.175.3

Received: 18.10.2016


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

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© Steklov Math. Inst. of RAS, 2025