On finite groups all of whose bi-Cayley graphs of bounded valency are integral

DOI10.22108/toc.2021.126275.1787zbMath1488.05227OpenAlexW3167133548MaRDI QIDQ4958101

Majid Arezoomand

Publication date: 6 September 2021

Full work available at URL: https://doaj.org/article/bce305e2ac5c40618de94099619074f8

zbMATH Keywords

irreducible representationbi-Cayley graphinteger eigenvalues

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Uses Software

• GAP

Cites Work

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• On the characteristic polynomial of \(n\)-Cayley digraphs
• On groups all of whose undirected Cayley graphs of bounded valency are integral
• Graphs with integral spectrum
• On finite groups all of whose cubic Cayley graphs are integral
• A survey on integral graphs
• Finite BCI-groups are solvable
• Finite groups admitting a connected cubic integral bi-Cayley graph
• A CLASSIFICATION OF FINITE GROUPS WITH INTEGRAL BI-CAYLEY GRAPHS

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