On groups all of whose undirected Cayley graphs of bounded valency are integral

zbMath1305.05100arXiv1403.7602MaRDI QIDQ490258

Yong-Cai Geng, Sumit K. Garg

Publication date: 22 January 2015

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7602

zbMATH Keywords

Cayley graphintegral graphCayley integral group

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Integral representations of finite groups (20C10)

Related Items (10)

Distance-integral Cayley graphs over abelian groups and dicyclic groups ⋮ Integral Cayley graphs over a certain nonabelian group ⋮ Eigenvalues of Cayley graphs ⋮ Integral Cayley sum graphs and groups ⋮ Perfect quantum state transfer on Cayley graphs over dicyclic groups ⋮ Integral Cayley graphs over semi-dihedral groups ⋮ Integral Cayley graphs over dicyclic group ⋮ On finite groups with prescribed two-generator subgroups and integral Cayley graphs ⋮ Integral and distance integral Cayley graphs over generalized dihedral groups ⋮ On finite groups all of whose bi-Cayley graphs of bounded valency are integral

Cites Work

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• On finite nonabelian 2-groups all of whose minimal nonabelian subgroups are of exponent 4.
• Groups all of whose undirected Cayley graphs are integral
• Integral Cayley Graphs and Groups
• Generating a random permutation with random transpositions
• A survey on integral graphs

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