Which graphs have non-integral spectra?

DOI10.1007/s00373-018-1947-zzbMath1402.05140OpenAlexW2890128346MaRDI QIDQ1756115

Jörn Steuding, Pascal Stumpf, Katja Mönius

Publication date: 11 January 2019

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-018-1947-z

zbMATH Keywords

eigenvaluesdiameteralgebraic integerssimple graphs

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (5)

Algebraic degree of spectra of Cayley hypergraphs ⋮ Splitting fields of mixed Cayley graphs over abelian groups ⋮ Algebraic degree of Cayley graphs over abelian groups and dihedral groups ⋮ The algebraic degree of spectra of circulant graphs ⋮ Splitting fields of spectra of circulant graphs

Cites Work

• There are only finitely many distance-regular graphs of fixed valency greater than two
• Spectra of graphs
• Zeta functions of finite graphs and coverings. III
• The number of extensions of a number field with fixed degree and bounded discriminant
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