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Enumeration of Regular Maps on Surfaces of a Given Genus


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Abstract

We enumerate the labelled and unlabelled d-regular maps on two-dimensional oriented surfaces of arbitrary genus g. The case of d-regular maps with a single face is considered separately in more detail.

About the authors

E. S. Krasko

St.Petersburg Academic University

Author for correspondence.
Email: krasko.evgeniy@gmail.com
Russian Federation, St.Petersburg

A. V. Omelchenko

St.Petersburg Academic University

Email: krasko.evgeniy@gmail.com
Russian Federation, St.Petersburg

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