The algebraic degree of spectra of circulant graphs

DOI10.1016/J.JNT.2019.08.002zbMath1428.05200OpenAlexW2974582221MaRDI QIDQ2009163

Katja Mönius

Publication date: 27 November 2019

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2019.08.002

zbMATH Keywords

graph eigenvaluescirculant graphsgraph spectrumalgebraic degree

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Cyclotomic extensions (11R18)

Related Items (9)

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 ⋮ Algebraic degree of Cayley graphs over dicyclic and semi-dihedral groups ⋮ Algebraic degree of Cayley graphs over abelian groups and dihedral groups ⋮ HS-splitting fields of abelian mixed Cayley graphs ⋮ The integrality of distance spectra of quasiabelian 2-Cayley graphs ⋮ Splitting fields of some matrices of normal (mixed) Cayley graphs ⋮ Splitting fields of spectra of circulant graphs

Cites Work

• Integral Cayley graphs defined by greatest common divisors
• Integral circulant graphs
• On the spectral Ádám property for circulant graphs
• Which graphs have non-integral spectra?
• A note on the Ádám conjecture for double loops.
• Natürliche Basen des Kreisteilungskörpers. I
• Circulants and their connectivities
• Matrix theory. Basic results and techniques

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