Integral Cayley Graphs and Groups

DOI10.1137/130925487zbMath1298.05155arXiv1307.6155OpenAlexW2963188491MaRDI QIDQ3192157

Bojan Mohar, Azhvan Sheikh Ahmady, Jason P. Bell

Publication date: 26 September 2014

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.6155

zbMATH Keywords

Cayley graphsCayley groupsintegral eigenvaluesCIS groupsweakly Cayley integral groups

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) 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 (16)

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 ⋮ Distance powers of integral Cayley graphs over dihedral groups and dicyclic groups ⋮ Splitting fields of mixed Cayley graphs over abelian groups ⋮ Algebraic degree of Cayley graphs over abelian groups and dihedral groups ⋮ Perfect quantum state transfer on Cayley graphs over dicyclic groups ⋮ Integral Cayley graphs over semi-dihedral groups ⋮ On groups all of whose undirected Cayley graphs of bounded valency are integral ⋮ Integral Cayley graphs over dicyclic group ⋮ On finite groups with prescribed two-generator subgroups and integral Cayley graphs ⋮ A new class of integral graphs constructed from the hypercube ⋮ A CLASSIFICATION OF FINITE GROUPS WITH INTEGRAL BI-CAYLEY GRAPHS ⋮ Integral and distance integral Cayley graphs over generalized dihedral groups ⋮ Spectra of Cayley graphs of complex reflection groups

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