Finite groups whose commuting graphs are integral

zbMath1474.05177arXiv1604.05902MaRDI QIDQ4987632

Jutirekha Dutta, Rajat Kanti Nath

Publication date: 3 May 2021

Full work available at URL: https://arxiv.org/abs/1604.05902

zbMATH Keywords

integral graphspectrum of a graphcommuting graph

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (13)

Energy of commuting graph of finite AC-groups ⋮ Unnamed Item ⋮ On a problem about the connectivity of the proper enhanced power graph of a finite group ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Commuting graphs of generalized dihedral groups ⋮ Various energies of commuting graphs of some super integral groups ⋮ Solvable graphs of finite groups ⋮ Unnamed Item ⋮ Spectrum and genus of commuting graphs of some classes of finite rings ⋮ On Laplacian energy of non-commuting graphs of finite groups ⋮ The complexity of specific commuting graphs ⋮ Various Energies of Commuting Graphs of Finite Nonabelian Groups

Cites Work

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• Which Cayley graphs are integral?
• The diameter of the commuting graph of a finite group with trivial centre.
• ON THE COMMUTING GRAPH ASSOCIATED WITH THE SYMMETRIC AND ALTERNATING GROUPS
• Some new integral graphs
• On Finite Groups with a Given Number of Centralizers
• Counting Centralizers in Finite Groups
• A survey on integral graphs
• The commuting graph of a soluble group

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