The undirected power graph of a finite group.

DOI10.1007/s40840-015-0114-4zbMath1326.20025OpenAlexW2038038994MaRDI QIDQ745952

G. R. Pourgholi, Hassan Yousefi-Azari, Ali Reza Ashrafi

Publication date: 15 October 2015

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-015-0114-4

zbMATH Keywords

finite groupsfinite \(p\)-groupsfinite nilpotent groupsHamiltonian graphs2-connected graphspower graphsnumbers of edges

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite nilpotent groups, (p)-groups (20D15)

Related Items

Automorphism groups of supergraphs of the power graph of a finite group, On the characteristic polynomial of power graphs, The power index of a graph, Connectivity of superpower graphs of some non-abelian finite groups, Hamiltonicity in power graphs of a class of abelian groups, The Main Eigenvalues of the Undirected Power Graph of a Group, The Spectra of power graphs of certain finite groups, On the power graph and the reduced power graph of a finite group, Some properties of various graphs associated with finite groups, The order supergraph of the power graph of a finite group, Combinatorial properties of power graphs of finite groups of prime order elements, Unnamed Item, Laplacian spectrum of reduced power graph of certain finite groups, Automorphism group of certain power graphs of finite groups, Recent developments on the power graph of finite groups – a survey, Spectrum and L-spectrum of the power graph and its main supergraph for certain finite groups

Cites Work

• The power graph of a finite group
• Directed graphs and combinatorial properties of semigroups
• Undirected power graphs of semigroups
• Power graphs and semigroups of matrices
• On the power graph of a finite group
• Certain properties of the power graph associated with a finite group
• The power graph of a finite group, II
• Sums of Element Orders in Finite Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item