Algebraic degrees of quasi-abelian semi-Cayley digraphs

DOI10.1016/j.disc.2024.114178MaRDI QIDQ6611730

Majid Arezoomand, Unnamed Author, Shixin Wang

Publication date: 27 September 2024

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

zbMATH Keywords

integral graphalgebraic degreebi-Cayley graphquasi-abelian semi-Cayley digraph

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Algebraic numbers; rings of algebraic integers (11R04) Directed graphs (digraphs), tournaments (05C20)

Cites Work

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• On the characteristic polynomial of \(n\)-Cayley digraphs
• On semisymmetric cubic graphs of order \(6p^{2}\)
• Graphs with integral spectrum
• One-matching bi-Cayley graphs over Abelian groups
• Strongly regular semi-Cayley graphs
• Character theory of finite groups
• Quasi-abelian Cayley graphs and Parsons graphs
• Which graphs have non-integral spectra?
• The algebraic degree of spectra of circulant graphs
• Splitting fields of spectra of circulant graphs
• Algebraic degree of spectra of Cayley hypergraphs
• Algebraic degrees of 2-Cayley digraphs over abelian groups
• Splitting fields of mixed Cayley graphs over abelian groups
• Perfect state transfer on quasi-abelian semi-Cayley graphs

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