Enumeration of regular maps on surfaces of a~given genus
Zapiski Nauchnykh Seminarov POMI, Combinatorics and graph theory. Part VIII, Tome 450 (2016), pp. 74-108
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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.
@article{ZNSL_2016_450_a5,
author = {E. C. Krasko and A. V. Omelchenko},
title = {Enumeration of regular maps on surfaces of a~given genus},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {74--108},
publisher = {mathdoc},
volume = {450},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_450_a5/}
}
E. C. Krasko; A. V. Omelchenko. Enumeration of regular maps on surfaces of a~given genus. Zapiski Nauchnykh Seminarov POMI, Combinatorics and graph theory. Part VIII, Tome 450 (2016), pp. 74-108. http://geodesic.mathdoc.fr/item/ZNSL_2016_450_a5/