On the spectra of some graphs like weighted rooted trees

DOI10.1016/j.laa.2007.12.012zbMath1143.05054OpenAlexW2075754834MaRDI QIDQ924339

Enide Andrade Martins, Helena Gomes, Rosário Fernandes

Publication date: 15 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.12.012

zbMATH Keywords

grapheigenvaluesadjacency matrixLaplacian matrix

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (11)

The spectral radius of maximum weighted cycle ⋮ Applications of Estrada indices and energy to a family of compound graphs ⋮ Bethe graphs attached to the vertices of a connected graph - a spectral approach ⋮ Computing the Laplacian spectra of some graphs ⋮ On the Laplacian spectral radius of weighted trees with a positive weight set ⋮ 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 trees with given number of pendant vertices and a positive weight set ⋮ Spectral characterization of some weighted rooted graphs with cliques ⋮ On the Laplacian spectral radius of weighted trees with fixed diameter and weight set ⋮ On the spectral radius of weighted unicyclic graphs with a positive weight set

Cites Work

• The spectra of some trees and bounds for the largest eigenvalue of any tree
• On the spectra of some weighted rooted trees and applications
• The spectra of the adjacency matrix and Laplacian matrix for some balanced trees
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