Note on the \(k\)th Laplacian eigenvalues of trees with perfect matchings

DOI10.1016/J.LAA.2015.05.030zbMath1330.15024OpenAlexW646858542MaRDI QIDQ490879

Xi-Ying Yuan, Ji-Ming Guo

Publication date: 21 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.05.030

zbMATH Keywords

treeperfect matching\(k\)th Laplacian eigenvalue

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (1)

Proof of a problem on Laplacian eigenvalues of trees

Cites Work

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• On the \(k\)th Laplacian eigenvalues of trees with perfect matchings
• Laplacian spectral radius of trees with given maximum degree
• On the Laplacian spectral radii of trees with perfect matchings
• Bounds on the \(k\)th eigenvalues of trees and forests
• Laplacian matrices of graphs: A survey
• On the Laplacian spectral radius of a tree.
• On the second largest Laplacian eigenvalue of trees
• Sharp upper and lower bounds for largest eigenvalue of the Laplacian matrices of trees

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