On the Laplacian spectral radius of weighted trees with a positive weight set

DOI10.1016/j.disc.2009.10.020zbMath1230.05147OpenAlexW1964164298MaRDI QIDQ966039

Shang-Wang Tan

Publication date: 27 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.disc.2009.10.020

zbMATH Keywords

weighted graphweighted treePerron vectorLaplacian spectral radius

Mathematics Subject Classification ID

Trees (05C05) Signed and weighted graphs (05C22)

Related Items (5)

The spectral radius of maximum weighted cycle ⋮ 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 ⋮ Lower bounds on the (Laplacian) spectral radius of weighted graphs ⋮ On the spectral radius of weighted unicyclic graphs with a positive weight set

Cites Work

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• A nontrivial upper bound on the largest Laplacian eigenvalue of weighted graphs
• On the spectra of some graphs like weighted rooted trees
• On the Laplacian spectral radius of a tree.
• Lower bounds for the eigenvalues of Laplacian matrices
• On the two conjectures of Graffiti
• On the index of caterpillars
• Sharp upper and lower bounds for largest eigenvalue of the Laplacian matrices of trees
• Some results on the index of unicyclic graphs
• Matrix Analysis
• Algebraic connectivity of weighted trees under perturbation

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