On the multiplicity of the least signless Laplacian eigenvalue of a graph

DOI10.1016/j.disc.2022.112940zbMath1496.05102OpenAlexW4297790181MaRDI QIDQ2144486

Dein Wong, Fenglei Tian, Shu-Guang Guo

Publication date: 14 June 2022

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

Full work available at URL: https://doi.org/10.1016/j.disc.2022.112940

zbMATH Keywords

signless Laplacian matrixeigenvalue multiplicityleast signless Laplacian eigenvalue

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

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• Biregular graphs with three eigenvalues
• Hypercubes are determined by their distance spectra
• On graphs with just three distinct eigenvalues
• On regular graphs with four distinct eigenvalues
• Graphs whose normalized Laplacian has three eigenvalues
• The smallest eigenvalue of the signless Laplacian
• Graphs with four distinct Laplacian eigenvalues
• Spectra of graphs
• Graphs with three eigenvalues and second largest eigenvalue at most 1
• Signless Laplacians of finite graphs
• On graphs with three distinct Laplacian eigenvalues
• On conjectures involving second largest signless Laplacian eigenvalue of graphs
• Nonregular graphs with three eigenvalues
• Graphs with constant \(\mu\) and \(\overline{\mu}\)
• On graphs with three eigenvalues
• Graphs with at most three distance eigenvalues different from \(-1\) and \(-2\)
• On the \(A_\alpha\)-spectra of graphs
• Graphs with some distance Laplacian eigenvalue of multiplicity \(n-3\)
• On the second largest eigenvalue of the signless Laplacian
• On graphs with distance Laplacian spectral radius of multiplicity \(n-3\)
• Characterization of graphs with some normalized Laplacian eigenvalue of multiplicity \(n - 3\)
• On the multiplicities of normalized Laplacian eigenvalues of graphs
• A note on graphs whose signless Laplacian has three distinct eigenvalues
• A characterization of the smallest eigenvalue of a graph
• On Graphs with Three or Four Distinct Normalized Laplacian Eigenvalues
• On graphs whose smallest distance (signless Laplacian) eigenvalue has large multiplicity
• On graphs with three distinct signless Laplacian eigenvalues
• On the multiplicity of distance signless Laplacian eigenvalues of graphs
• Graphs with many valencies and few eigenvalues
• GRAPHS WITH A SMALL NUMBER OF DISTINCT EIGENVALUES

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