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On the Riemann-Hurwitz formula for regular graph coverings. / Mednykh, Alexander.

в: Contemporary Mathematics, Том 776, 14, 2022, стр. 301-309.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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Mednykh, A 2022, 'On the Riemann-Hurwitz formula for regular graph coverings', Contemporary Mathematics, Том. 776, 14, стр. 301-309. https://doi.org/10.1090/conm/776/15618

APA

Vancouver

Mednykh A. On the Riemann-Hurwitz formula for regular graph coverings. Contemporary Mathematics. 2022;776:301-309. 14. doi: 10.1090/conm/776/15618

Author

Mednykh, Alexander. / On the Riemann-Hurwitz formula for regular graph coverings. в: Contemporary Mathematics. 2022 ; Том 776. стр. 301-309.

BibTeX

@article{4720c716d90e4951bc2f2bb04f635edc,
title = "On the Riemann-Hurwitz formula for regular graph coverings",
abstract = "The aim of this paper is to present a few versions of the Riemann-Hurwitz formula for a regular branched covering of graphs. By a graph, we mean a finite connected multigraph. The genus of a graph is defined as the rank of the first homology group. We consider a finite group acting on a graph, possibly with fixed and invertible edges, and the respective factor graph. Then, the obtained Riemann-Hurwitz formula relates genus of the graph with genus of the factor graph and orders of the vertex and edge stabilizers.",
keywords = "Automorphism group, Branched covering, Graph, Harmonic map, Invertible edge, Semi-edge",
author = "Alexander Mednykh",
note = "Funding Information: 2020 Mathematics Subject Classification. Primary 30F40, 20H10; Secondary 14E20, 14H30. Key words and phrases. graph, semi-edge, invertible edge, branched covering, automorphism group, harmonic map. The author was supported by the Russian Science Foundation (grant 19-41-02005). Publisher Copyright: {\textcopyright} 2022 American Mathematical Society.",
year = "2022",
doi = "10.1090/conm/776/15618",
language = "English",
volume = "776",
pages = "301--309",
journal = "Contemporary Mathematics",
issn = "0271-4132",
publisher = "American Mathematical Society",

}

RIS

TY - JOUR

T1 - On the Riemann-Hurwitz formula for regular graph coverings

AU - Mednykh, Alexander

N1 - Funding Information: 2020 Mathematics Subject Classification. Primary 30F40, 20H10; Secondary 14E20, 14H30. Key words and phrases. graph, semi-edge, invertible edge, branched covering, automorphism group, harmonic map. The author was supported by the Russian Science Foundation (grant 19-41-02005). Publisher Copyright: © 2022 American Mathematical Society.

PY - 2022

Y1 - 2022

N2 - The aim of this paper is to present a few versions of the Riemann-Hurwitz formula for a regular branched covering of graphs. By a graph, we mean a finite connected multigraph. The genus of a graph is defined as the rank of the first homology group. We consider a finite group acting on a graph, possibly with fixed and invertible edges, and the respective factor graph. Then, the obtained Riemann-Hurwitz formula relates genus of the graph with genus of the factor graph and orders of the vertex and edge stabilizers.

AB - The aim of this paper is to present a few versions of the Riemann-Hurwitz formula for a regular branched covering of graphs. By a graph, we mean a finite connected multigraph. The genus of a graph is defined as the rank of the first homology group. We consider a finite group acting on a graph, possibly with fixed and invertible edges, and the respective factor graph. Then, the obtained Riemann-Hurwitz formula relates genus of the graph with genus of the factor graph and orders of the vertex and edge stabilizers.

KW - Automorphism group

KW - Branched covering

KW - Graph

KW - Harmonic map

KW - Invertible edge

KW - Semi-edge

UR - http://www.scopus.com/inward/record.url?scp=85129418226&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/e314dd8d-4821-3362-9469-1227b06c5e04/

U2 - 10.1090/conm/776/15618

DO - 10.1090/conm/776/15618

M3 - Article

AN - SCOPUS:85129418226

VL - 776

SP - 301

EP - 309

JO - Contemporary Mathematics

JF - Contemporary Mathematics

SN - 0271-4132

M1 - 14

ER -

ID: 36060597