Integral Cayley multigraphs over abelian and Hamiltonian groups

zbMath1298.05158arXiv1209.5126MaRDI QIDQ396792

Bojan Mohar, Matt DeVos, Azhvan Sheikh Ahmady, Roi Krakovski

Publication date: 14 August 2014

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

Full work available at URL: https://arxiv.org/abs/1209.5126

zbMATH Keywords

Cayley graphabelian groupHamiltonian groupintegral eigenvalue

Mathematics Subject Classification ID

Related Items (11)

Integral mixed Cayley graphs over abelian groups ⋮ Distance-integral Cayley graphs over abelian groups and dicyclic groups ⋮ Integral Cayley graphs over a certain nonabelian group ⋮ Eigenvalues of Cayley graphs ⋮ Groups all of whose undirected Cayley graphs are integral ⋮ Integral Cayley graphs over dihedral groups ⋮ A heuristic technique for decomposing multisets of non-negative integers according to the Minkowski sum ⋮ Splitting fields of mixed Cayley graphs over abelian groups ⋮ Integral Cayley graphs over semi-dihedral groups ⋮ Integral Cayley graphs over dicyclic group ⋮ Spectra of Cayley graphs of complex reflection groups

Cites Work

• Integral circulant graphs
• Integral Cayley graphs over Abelian groups
• Rational G-matrices with rational eigenvalues
• Generating a random permutation with random transpositions
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