Integral mixed Cayley graphs over abelian groups

DOI10.37236/10534zbMath1492.05092arXiv2106.14458OpenAlexW4200036621MaRDI QIDQ2121738

Monu Kadyan, Bikash Bhattacharjya

Publication date: 4 April 2022

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

Full work available at URL: https://arxiv.org/abs/2106.14458

zbMATH Keywords

mixed graphintegral mixed Cayley graph

Mathematics Subject Classification ID

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

Related Items (8)

HS-integral and Eisenstein integral mixed Cayley graphs over abelian groups ⋮ \(H\)-integral and Gaussian integral normal mixed Cayley graphs ⋮ Splitting fields of mixed Cayley graphs over abelian groups ⋮ Algebraic degree of Cayley graphs over dicyclic and semi-dihedral groups ⋮ HS-splitting fields of abelian mixed Cayley graphs ⋮ On integral mixed Cayley graphs over non-abelian finite groups admitting an abelian subgroup of index 2 ⋮ Splitting fields of some matrices of normal (mixed) Cayley graphs ⋮ Integral mixed circulant graphs

Cites Work

• Integral Cayley multigraphs over abelian and Hamiltonian groups
• Integral sets and Cayley graphs of finite groups
• Hermitian-adjacency matrices and Hermitian energies of mixed graphs
• Integral circulant graphs
• Integral Cayley graphs over Abelian groups
• Rational G-matrices with rational eigenvalues
• Spectra of Cayley graphs
• Integral Cayley graphs over dihedral groups
• Integral Cayley graphs over dicyclic group
• Cayley graph on symmetric group generated by elements fixing \(k\) points
• Which Cayley graphs are integral?
• Large regular bipartite graphs with median eigenvalue 1
• A survey on integral graphs
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