On connectedness of power graphs of finite groups

DOI10.1142/S0219498818501840zbMath1401.05140arXiv1703.08834MaRDI QIDQ4561475

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Publication date: 6 December 2018

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

Full work available at URL: https://arxiv.org/abs/1703.08834

zbMATH Keywords

connectivitycyclic grouppower graph\(p\)-groupminimal separating set

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite abelian groups (20K01) Finite nilpotent groups, (p)-groups (20D15) Connectivity (05C40)

Related Items (15)

On the power graphs of certain finite groups ⋮ Laplacian spectra of power graphs of certain prime-power Abelian groups ⋮ On the minimum degree, edge-connectivity and connectivity of power graphs of finite groups ⋮ Vertex connectivity of the power graph of a finite cyclic group II ⋮ Connectivity of superpower graphs of some non-abelian finite groups ⋮ A study of enhanced power graphs of finite groups ⋮ On groups with chordal power graph, including a classification in the case of finite simple groups ⋮ The power graph of a torsion-free group determines the directed power graph ⋮ Some properties of various graphs associated with finite groups ⋮ A combinatorial characterization of finite groups of prime exponent ⋮ On the minimum degree of the power graph of a finite cyclic group ⋮ Laplacian spectra of power graphs of certain finite groups ⋮ Minimal cut-sets in the power graphs of certain finite non-cyclic groups ⋮ On the enhanced power graph of a finite group ⋮ Recent developments on the power graph of finite groups – a survey

Cites Work

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• The intersection graph of a group
• An Euler totient sum inequality

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