Combinatorial properties of power graphs of finite groups of prime order elements

DOI10.1080/00927872.2019.1659284zbMath1437.05093OpenAlexW2979183386MaRDI QIDQ4959876

Misbah Arooj, Uzma Ahmad

Publication date: 7 April 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2019.1659284

zbMATH Keywords

nilpotent groupscircumferencecliqueSylow \(p\)-subgroupspower graphelementary abelian \(p\)-groupsmaximal subgraphs

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Miscellaneous inequalities involving matrices (15A45)

Cites Work

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• The undirected power graph of a finite group.
• Graph derivatives
• Undirected power graphs of semigroups
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• The power graph of a finite group, II
• Classification of Finite Groups with all Elements of Prime Order
• On Laplacian spectrum of power graphs of finite cyclic and dihedral groups
• Power graphs: A survey
• Groups, Graphs, and Fermat's Last Theorem