Proof of a conjecture on distribution of Laplacian eigenvalues and diameter, and beyond

DOI10.1016/j.laa.2023.08.013zbMath1525.05121arXiv2303.11503OpenAlexW4386258469WikidataQ122941488 ScholiaQ122941488MaRDI QIDQ6083985

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Publication date: 31 October 2023

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

Full work available at URL: https://arxiv.org/abs/2303.11503

zbMATH Keywords

diameterLaplacian eigenvalue

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Distance in graphs (05C12)

Cites Work

• On the distribution of Laplacian eigenvalues of trees
• On the number of Laplacian eigenvalues of trees smaller than two
• On the distribution of Laplacian eigenvalues of a graph
• Laplace eigenvalues of graphs---a survey
• On the number of Laplacian eigenvalues of trees less than the average degree
• Domination number and Laplacian eigenvalue distribution
• Laplacian matrices of graphs: A survey
• Commutativity and spectra of Hermitian matrices
• Laplacian distribution and domination
• Most Laplacian eigenvalues of a tree are small
• Laplacian eigenvalue distribution and graph parameters
• Laplacian energy of diameter 3 trees
• The Laplacian Spectrum of a Graph
• Eigenvalues of the Laplacian of a graph^∗
• The Laplacian Spectrum of a Graph II
• A relation between the matching number and Laplacian spectrum of a graph
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