On the multiplicities of distance Laplacian eigenvalues

DOI10.1007/s40314-023-02460-1OpenAlexW4387185803MaRDI QIDQ6082257

Rosário Fernandes, Maria Aguieiras A. de Freitas, Celso M. jun. da Silva, Renata R. Del-Vecchio

Publication date: 3 November 2023

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-023-02460-1

zbMATH Keywords

multiplicity of eigenvaluesLaplacian matrixdistance Laplacian matrix

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Distance in graphs (05C12)

Cites Work

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• Two Laplacians for the distance matrix of a graph
• Graphs with four distinct Laplacian eigenvalues
• Spectra of graphs
• Laplacian matrices of graphs: A survey
• Multiplicities of distance Laplacian eigenvalues and forbidden subgraphs
• Graphs with some distance Laplacian eigenvalue of multiplicity \(n-3\)
• On graphs with distance Laplacian spectral radius of multiplicity \(n-3\)
• Practical graph isomorphism. II.
• A note on a conjecture for the distance Laplacian matrix
• Some properties of the distance Laplacian eigenvalues of a graph
• On the distance and distance Laplacian eigenvalues of graphs

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