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Title: Enumeration of Regular Maps on Surfaces of a Given Genus

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.

Authors:
;  [1]
  1. St.Petersburg Academic University (Russian Federation)
Publication Date:
OSTI Identifier:
22774016
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 232; Journal Issue: 1; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; MAPPING; SURFACES; TWO-DIMENSIONAL SYSTEMS

Citation Formats

Krasko, E. S., E-mail: krasko.evgeniy@gmail.com, and Omelchenko, A. V., E-mail: avo.travel@gmail.com. Enumeration of Regular Maps on Surfaces of a Given Genus. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3858-1.
Krasko, E. S., E-mail: krasko.evgeniy@gmail.com, & Omelchenko, A. V., E-mail: avo.travel@gmail.com. Enumeration of Regular Maps on Surfaces of a Given Genus. United States. doi:10.1007/S10958-018-3858-1.
Krasko, E. S., E-mail: krasko.evgeniy@gmail.com, and Omelchenko, A. V., E-mail: avo.travel@gmail.com. Sun . "Enumeration of Regular Maps on Surfaces of a Given Genus". United States. doi:10.1007/S10958-018-3858-1.
@article{osti_22774016,
title = {Enumeration of Regular Maps on Surfaces of a Given Genus},
author = {Krasko, E. S., E-mail: krasko.evgeniy@gmail.com and Omelchenko, A. V., E-mail: avo.travel@gmail.com},
abstractNote = {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.},
doi = {10.1007/S10958-018-3858-1},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 1,
volume = 232,
place = {United States},
year = {2018},
month = {7}
}