The extreme vertices of the power graph of group \(S_n\)

DOI10.1007/s12190-023-01906-3zbMath1521.05065OpenAlexW4385766422MaRDI QIDQ6093354

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Publication date: 6 October 2023

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-023-01906-3

zbMATH Keywords

extreme verticespower graph of a grouppermutation group on \(n\) symbols

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Symmetric groups (20B30)

Cites Work

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• Edge-maximality of power graphs of finite cyclic groups
• The power graph of a finite group
• Directed graphs and combinatorial properties of semigroups
• Undirected power graphs of semigroups
• Recent developments on the power graph of finite groups – a survey
• Graceful labeling of power graph of group Z2k−1 × Z4
• The degree of a vertex in the power graph of a finite abelian group

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