On graphs with distance Laplacian spectral radius of multiplicity \(n-3\)

DOI10.1016/j.laa.2017.05.044zbMath1367.05134OpenAlexW2621216029MaRDI QIDQ2013203

Xueyi Huang, Lu Lu, Qiong Xiang Huang

Publication date: 3 August 2017

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2017.05.044

zbMATH Keywords

largest eigenvalueLaplacian matrixdistance Laplacian matrixcharacterised by distance Laplacian spectrum

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Distance in graphs (05C12) Connectivity (05C40)

Related Items (9)

On the multiplicity of the least signless Laplacian eigenvalue of a graph ⋮ On graphs with three distinct signless Laplacian eigenvalues ⋮ On the multiplicity of Laplacian eigenvalues for unicyclic graphs ⋮ On the multiplicities of distance Laplacian eigenvalues ⋮ On graphs with distance Laplacian eigenvalues of multiplicity n −4 ⋮ Unnamed Item ⋮ On graphs whose smallest distance (signless Laplacian) eigenvalue has large multiplicity ⋮ Graphs with some distance Laplacian eigenvalue of multiplicity \(n-3\) ⋮ Relation between the matching number and the second largest distance Laplacian eigenvalue of a graph

Cites Work

• Two Laplacians for the distance matrix of a graph
• On the distance Laplacian spectra of graphs
• Graphs with four distinct Laplacian eigenvalues
• Complement reducible graphs
• Distance spectra of graphs: a survey
• Proof for four conjectures about the distance Laplacian and distance signless Laplacian eigenvalues of a graph
• A note on a conjecture for the distance Laplacian matrix
• Unnamed Item

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