Characterization of split graphs with at most four distinct eigenvalues

DOI10.1016/j.dam.2014.10.039zbMath1311.05112OpenAlexW2068219769MaRDI QIDQ2341775

Nasrin Azimi, Modjtaba Ghorbani

Publication date: 28 April 2015

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

Full work available at URL: https://doi.org/10.1016/j.dam.2014.10.039

zbMATH Keywords

split graphcharacteristic polynomialgraph spectra

Mathematics Subject Classification ID

Graph polynomials (05C31) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (8)

On the spectrum of finite Cayley graphs ⋮ Complete characterization of the bidegreed split graphs with three or four distinct \(A_{\alpha}\)-eigenvalues ⋮ On split graphs with three or four distinct (normalized) Laplacian eigenvalues ⋮ Betti numbers of edge ideals of some split graphs ⋮ A complete characterization of bidegreed split graphs with four distinct signless Laplacian eigenvalues ⋮ On split graphs with four distinct eigenvalues ⋮ A note on integral non-commuting graphs ⋮ Aα and Lα-spectral properties of spider graphs

Cites Work

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• Infinite families of \(Q\)-integral graphs
• Critical star multigraphs
• Integral complete split graphs

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