On graphs with three distinct Laplacian eigenvalues

DOI10.1007/s11766-007-0414-zzbMath1150.05030OpenAlexW2028076590MaRDI QIDQ933005

Yi-Zheng Fan, Yi Wang, Ying-Ying Tan

Publication date: 6 August 2008

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-007-0414-z

zbMATH Keywords

strongly regular graphspectrumLaplacian matrixLaplacian integral

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (14)

On the multiplicity of the least signless Laplacian eigenvalue of a graph ⋮ On graphs with three distinct signless Laplacian eigenvalues ⋮ Complete characterization of the bidegreed split graphs with three or four distinct \(A_{\alpha}\)-eigenvalues ⋮ Characterization of graphs with some normalized Laplacian eigenvalue of multiplicity \(n - 3\) ⋮ On split graphs with three or four distinct (normalized) Laplacian eigenvalues ⋮ Graphs with four distinct Laplacian eigenvalues ⋮ THE SPECTRAL DETERMINATIONS OF THE JOIN OF TWO FRIENDSHIP GRAPHS ⋮ A note on graphs whose signless Laplacian has three distinct eigenvalues ⋮ Graphs determined by signless Laplacian spectra ⋮ Graphs with three distinct \(\alpha\)-eigenvalues ⋮ Universal adjacency matrices with two eigenvalues ⋮ Graphs whose normalized Laplacian has three eigenvalues ⋮ Graphs with some distance Laplacian eigenvalue of multiplicity \(n-3\) ⋮ On the distance and distance Laplacian eigenvalues of graphs

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