A note on a conjecture for the distance Laplacian matrix

DOI10.13001/1081-3810.3002zbMath1331.05074OpenAlexW2280322458WikidataQ123002627 ScholiaQ123002627MaRDI QIDQ2794396

Renata R. Del-Vecchio, Maria Aguieiras Alvarez de Freitas, Celso Jun. Marques da Silva

Publication date: 10 March 2016

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/518d5419e8b728f9a1460e0cb74ae2e09477c8b1

zbMATH Keywords

largest eigenvaluemultiplicity 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)

Related Items (8)

Seidel spectrum of threshold graphs ⋮ On the multiplicities of distance Laplacian eigenvalues ⋮ Multiplicities of distance Laplacian eigenvalues and forbidden subgraphs ⋮ On the first two largest distance Laplacian eigenvalues of unicyclic graphs ⋮ On graphs with distance Laplacian spectral radius of multiplicity \(n-3\) ⋮ On graphs whose smallest distance (signless Laplacian) eigenvalue has large multiplicity ⋮ Graphs with some distance Laplacian eigenvalue of multiplicity \(n-3\) ⋮ Extremal results on distance Laplacian spectral radius of graphs

Cites Work

• Two Laplacians for the distance matrix of a graph
• On the distance Laplacian spectra of graphs
• Complement reducible graphs
• Laplacian matrices of graphs: A survey
• Distance spectra of graphs: a survey
• Proof for four conjectures about the distance Laplacian and distance signless Laplacian eigenvalues of a graph
• Some properties of the distance Laplacian eigenvalues of a graph

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