Characterization of groups with planar, toroidal or projective planar (proper) reduced power graphs

DOI10.1142/S0219498820500991zbMath1443.05089OpenAlexW2937555145WikidataQ114614667 ScholiaQ114614667MaRDI QIDQ3296155

T. Anitha, R. Rajkumar

Publication date: 7 July 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498820500991

zbMATH Keywords

groupplanar graphtoroidal graphprojective planar graphreduced power graph

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (8)

Prime index elements graph of a group ⋮ Forbidden subgraphs in reduced power graphs of finite groups ⋮ On characterization of a completely simple semigroup by its power graph and Green relations ⋮ Perfect codes in proper reduced power graphs of finite groups ⋮ Strong metric dimensions for power graphs of finite groups ⋮ Proper connection of power graphs of finite groups ⋮ On the metric dimension of the reduced power graph of a finite group ⋮ Laplacian spectrum of reduced power graph of certain finite groups

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