On the Riemann-Hurwitz formula for regular graph coverings
Autor: | Alexander Mednykh |
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Rok vydání: | 2022 |
Předmět: | |
Zdroj: | Contemporary Mathematics. :301-309 |
ISSN: | 1098-3627 0271-4132 |
Popis: | 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. |
Databáze: | OpenAIRE |
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