The spectral radius of maximum weighted cycle

DOI10.1142/S179383091650021XzbMath1339.05240OpenAlexW2275550515MaRDI QIDQ3178150

Lu Lu, Lin Chen, Qiong Xiang Huang

Publication date: 8 July 2016

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179383091650021x

zbMATH Keywords

spectral radiusweighted graphPerron vectormaximum weighted cycle

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12) Signed and weighted graphs (05C22)

Cites Work

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• On the spectral radii of weighted double stars
• On the (Laplacian) spectral radius of weighted trees with fixed matching number q and a positive weight set
• 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
• A sharp upper bound on the spectral radius of weighted graphs
• On the Laplacian spectral radius of weighted trees with a positive weight set
• On the spectral radius of weighted trees with fixed diameter and weight set
• Minimum spectral radius of a weighted graph
• An extremal problem for the spectral radius of a graph
• A sharp upper bound on the largest Laplacian eigenvalue of weighted graphs

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