On the Riemann-Hurwitz formula for regular graph coverings

Autor: Alexander Mednykh
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