Power graphs of (non)orientable genus two

DOI10.1080/00927872.2018.1476522zbMath1411.05116arXiv1509.02104OpenAlexW2962714991WikidataQ128564731 ScholiaQ128564731MaRDI QIDQ4634083

Kaishun Wang, Gary Lee Walls, Xuan Long Ma

Publication date: 7 May 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02104

zbMATH Keywords

genusfinite grouppower 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 (15)

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 ⋮ Finite groups whose intersection power graphs are toroidal and projective-planar ⋮ On the order supergraph of the power graph of a finite group ⋮ The lambda number of the power graph of a finite \(p\)-group ⋮ Perfect codes in proper reduced power graphs of finite groups ⋮ Finite groups whose noncyclic graphs have positive genus ⋮ Characterization of groups with planar, toroidal or projective planar (proper) reduced power graphs ⋮ Strong metric dimensions for power graphs of finite groups ⋮ Proper connection of power graphs of finite groups ⋮ On the minimum degree of the power graph of a finite cyclic group ⋮ On the metric dimension of the reduced power graph of a finite group ⋮ On the enhanced power graph of a finite group ⋮ Recent developments on the power graph of finite groups – a survey

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