Groups all of whose undirected Cayley graphs are determined by their spectra

DOI10.1142/S0219498816501759zbMath1346.05156arXiv1503.01541OpenAlexW2963658584MaRDI QIDQ2816950

Mojtaba Jazaeri, Shahrooz Janbaz, Alireza Abdollahi

Publication date: 26 August 2016

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

Full work available at URL: https://arxiv.org/abs/1503.01541

zbMATH Keywords

Cayley graphspectrum of a graphgraphs determined by their spectra

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (4)

Eigenvalues of Cayley graphs ⋮ Enumeration of cubic Cayley graphs on dihedral groups ⋮ A large family of cospectral Cayley graphs over dicyclic groups ⋮ A large family of cospectral Cayley graphs over dihedral groups

Uses Software

• GAP
• GRAPE

Cites Work

• Spectra of graphs
• Simple groups contain minimal simple groups
• Graphs cospectral with a friendship graph or its complement
• Endliche Gruppen I
• Unnamed Item
• Unnamed Item

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