On the Laplacian spectral radius of weighted trees with fixed diameter and weight set

DOI10.1080/03081080903279980zbMath1226.05169OpenAlexW2009103290MaRDI QIDQ3082861

Jingjing Jiang, Shang-Wang Tan

Publication date: 17 March 2011

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

Full work available at URL: https://doi.org/10.1080/03081080903279980

zbMATH Keywords

weighted graphweighted treePerron vectorLaplacian spectral radius

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (3)

On the (Laplacian) spectral radius of weighted trees with fixed matching number q and a positive weight set ⋮ On the weighted trees with given degree sequence and positive weight set ⋮ On the spectral radius of weighted unicyclic graphs with a positive weight set

Cites Work

• On the spectra of some weighted rooted trees and applications
• A nontrivial upper bound on the largest Laplacian eigenvalue of weighted graphs
• On the spectra of some graphs like weighted rooted trees
• On the spectral radius of weighted trees with fixed diameter and weight set
• On graphs whose signless Laplacian index does not exceed 4.5
• Lower bounds for the eigenvalues of Laplacian matrices
• On the index of caterpillars
• On the second largest Laplacian eigenvalue of trees
• Sharp upper and lower bounds for largest eigenvalue of the Laplacian matrices of trees
• Some results on the index of unicyclic graphs
• A sharp upper bound on the largest Laplacian eigenvalue of weighted graphs
• Algebraic connectivity of weighted trees under perturbation

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