On the Oikawa and Arakawa theorems for graphs

DOI10.1134/S0081543819020147zbMath1422.31007OpenAlexW2961892894MaRDI QIDQ2317370

Roman Nedela, Alexander Mednykh, Ilya A. Mednykh

Publication date: 9 August 2019

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543819020147

zbMATH Keywords

Riemann-Hurwitz formulaautomorphism group of a graphholomorphic mappings on graphs, harmonic mappings on graphs

Mathematics Subject Classification ID

Graph theory (05C99) Other generalizations (nonlinear potential theory, etc.) (31C45) Riemann surfaces (30F99)

Related Items (4)

Two Moore’s Theorems for Graphs ⋮ Generalised voltage graphs ⋮ Fixed points of cyclic groups acting purely harmonically on a graph ⋮ On automorphisms of graphs and Riemann surfaces acting with fixed points

Cites Work

• Harmonic morphisms of graphs and the Riemann-Hurwitz theorem
• On the Farkas and Accola theorems for graphs
• Lifting graph automorphisms by voltage assignments
• On automorphisms of Klein surfaces with invariant subsets
• Discrete analogs of Farkas and Accola's theorems on hyperelliptic coverings of a Riemann surface of genus 2
• On Wiman's theorem for graphs
• A generalization of Hurwitz' theorem for groups acting on a graph
• Non-regular graph coverings and lifting the hyperelliptic involution
• Accola theorem on hyperelliptic graphs
• Genus Bounds for Harmonic Group Actions on Finite Graphs
• Notes on conformal mappings of a Riemann surface onto itself
• Harmonic Morphisms and Hyperelliptic Graphs
• Automorphism groups of compact Riemann surfaces with invariant subsets

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