Some relations between power graphs and Cayley graphs

DOI10.1016/J.JOEMS.2015.01.004zbMath1328.05079OpenAlexW1985315432MaRDI QIDQ900515

Sriparna Chattopadhyay, Pratima Panigrahi

Publication date: 22 December 2015

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2015.01.004

zbMATH Keywords

energyeigenvalueCayley graphfinite grouppower graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Graph operations (line graphs, products, etc.) (05C76)

Related Items (5)

Eigenvalues of Cayley graphs ⋮ Spectral radius of power graphs on certain finite groups ⋮ Some properties of various graphs associated with finite groups ⋮ The complement of proper power graphs of finite groups ⋮ Recent developments on the power graph of finite groups – a survey

Cites Work

• The power graph of a finite group
• On the distribution of eigenvalues of a simple undirected graph
• Directed graphs and combinatorial properties of semigroups
• Some properties of unitary Cayley graphs
• On the energy of unitary Cayley graphs
• Undirected power graphs of semigroups
• On the power graph of a finite group
• Graph Energy
• The power graph of a finite group, II
• Power graphs: A survey
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