On the spectral radius of weighted unicyclic graphs with a positive weight set

DOI10.1080/03081087.2011.558506zbMath1237.05127OpenAlexW2027058148MaRDI QIDQ3104567

Yi Tian, Shuchao Li

Publication date: 14 December 2011

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

Full work available at URL: https://doi.org/10.1080/03081087.2011.558506

zbMATH Keywords

spectral radiusweighted graphPerron vectorweighted unicyclic graph

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Signed and weighted graphs (05C22)

Related Items (3)

Some Nordhaus-Gaddum type results of \(A_\alpha \)-eigenvalues of weighted graphs ⋮ On the (Laplacian) spectral radius of weighted trees with fixed matching number q and a positive weight set ⋮ On the spectral radius of weighted trees with given number of pendant vertices and a positive weight set

Cites Work

• On the spectra of some weighted rooted trees and applications
• On the spectral radius of unicyclic graphs with fixed diameter
• A nontrivial upper bound on the largest Laplacian eigenvalue of weighted graphs
• On the spectra of some graphs like weighted rooted trees
• A sharp upper bound on the spectral radius of weighted graphs
• On the spectral radius of unicyclic graphs with prescribed degree sequence
• On the Laplacian spectral radius of weighted trees with a positive weight set
• On the spectral radii of unicyclic graphs with fixed matching number
• On the spectral radius of weighted trees with fixed diameter and weight set
• Minimum spectral radius of a weighted graph
• On the spectral radius of unicyclic graphs with perfect matchings
• New upper bounds on the spectral radius of unicyclic graphs
• Some results on the index of unicyclic graphs
• A sharp upper bound on the largest Laplacian eigenvalue of weighted graphs
• On the Laplacian spectral radius of weighted trees with fixed diameter and weight set
• Matrix Analysis

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