Distance powers of integral Cayley graphs over dihedral groups and dicyclic groups

DOI10.1080/03081087.2020.1758609zbMath1487.05113OpenAlexW3018679120MaRDI QIDQ5073026

Lu Lu, Dragan Stevanović, Tao Cheng, Li-Hua Feng, Wei-jun Liu

Publication date: 5 May 2022

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2020.1758609

zbMATH Keywords

dihedral groupsdicyclic groupsintegral Cayley graphdistance powers

Mathematics Subject Classification ID

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

Related Items (6)

Integral Cayley graphs over a certain nonabelian group ⋮ On Cayley graphs over generalized dicyclic groups ⋮ Algebraic degrees of 2-Cayley digraphs over abelian groups ⋮ The integrality of distance spectra of quasiabelian 2-Cayley graphs ⋮ Integral Cayley graphs over semi-dihedral groups ⋮ Splitting fields of some matrices of normal (mixed) Cayley graphs

Cites Work

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• Integral Cayley graphs defined by greatest common divisors
• Integral circulant graphs
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• Automorphism groups of dihedral groups
• Spectra of Cayley graphs
• Integral Cayley graphs over dihedral groups
• Integral Cayley graphs over dicyclic group
• Distance powers and distance matrices of integral Cayley graphs over abelian groups
• Which Cayley graphs are integral?
• Groups all of whose undirected Cayley graphs are integral
• Integral Cayley Graphs and Groups

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