Integral Cayley sum graphs and groups

DOI10.7151/dmgt.1886zbMath1350.05060OpenAlexW2339862542MaRDI QIDQ339458

Kaishun Wang, Xuan Long Ma

Publication date: 11 November 2016

Published in: Discussiones Mathematicae. Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7151/dmgt.1886

zbMATH Keywords

Cayley sum graphintegral graphCayley sum integral group

Mathematics Subject Classification ID

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

Related Items (7)

Distance-integral Cayley graphs over abelian groups and dicyclic groups ⋮ Eigenvalues of Cayley graphs ⋮ On the subgraphs of Cayley sum graphs ⋮ One-matching bi-Cayley graphs and homogeneous bi-Cayley graphs over finite cyclic groups ⋮ Integral and distance integral Cayley graphs over generalized dihedral groups ⋮ Perfect codes in Cayley sum graphs ⋮ Subgroup perfect codes in Cayley sum graphs

Cites Work

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• Spectra of graphs
• Integral circulant graphs
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• Cayley sum graphs and eigenvalues of \((3,6)\)-fullerenes
• Which Cayley graphs are integral?
• Counting sets with small sumset, and the clique number of random Cayley graphs
• Groups all of whose undirected Cayley graphs are integral
• On finite groups all of whose cubic Cayley graphs are integral
• Integral Cayley Graphs and Groups
• Diameters and Eigenvalues
• On Cayley sum graphs of non-abelian groups

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