Minimal cut-sets in the power graphs of certain finite non-cyclic groups

DOI10.1080/00927872.2020.1831005zbMath1460.05082arXiv1802.07646OpenAlexW3092812123MaRDI QIDQ5856289

Binod Kumar Sahoo, Sriparna Chattopadhyay, Kamal Lochan Patra

Publication date: 25 March 2021

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

Full work available at URL: https://arxiv.org/abs/1802.07646

zbMATH Keywords

nilpotent groupvertex connectivitypower graphgeneralized quaternion groupminimal cut-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 (5)

Vertex connectivity of the power graph of a finite cyclic group II ⋮ Certain properties of the enhanced power graph associated with a finite group ⋮ On the minimum degree of the power graph of a finite cyclic group ⋮ On the proper enhanced power graphs of finite nilpotent groups ⋮ On the minimum degree of power graphs of finite nilpotent groups

Cites Work

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• 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
• On the Connectivity of Proper Power Graphs of Finite Groups
• On connectedness of power graphs of finite groups
• Power graphs: A survey
• An Euler totient sum inequality

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