# 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:

- 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}

}

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