On the Laplacian spectral radii of trees

DOI10.1016/j.disc.2008.12.026zbMath1180.05067OpenAlexW2171217979MaRDI QIDQ1043940

J. Blot

Publication date: 10 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2008.12.026

zbMATH Keywords

treeorderingmaximum degreeLaplacian spectral radius

Mathematics Subject Classification ID

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

Related Items (10)

The algebraic connectivity of graphs with given circumference ⋮ Laplacian spectral radius and maximum degree of trees with perfect matchings ⋮ Ordering \(Q\)-indices of graphs: given size and circumference ⋮ Ordering trees by \(\alpha\)-index ⋮ On the ordering of the Kirchhoff indices of the complements of trees and unicyclic graphs ⋮ Ordering (signless) Laplacian spectral radii with maximum degrees of graphs ⋮ A note on (signless) Laplacian spectral ordering with maximum degrees of graphs ⋮ On the Laplacian spectral radii of Halin graphs ⋮ Semiregular trees with minimal Laplacian spectral radius ⋮ The Laplacian spectral radius of trees and maximum vertex degree

Cites Work

• Permanent of the Laplacian matrix of trees and bipartite graphs
• The effect on the Laplacian spectral radius of a graph by adding or grafting edges
• A note on Laplacian graph eigenvalues
• Laplacian matrices of graphs: A survey
• On the Laplacian spectral radius of a tree.
• Ordering trees by their Laplacian spectral radii
• On the second largest Laplacian eigenvalue of trees
• Sharp upper and lower bounds for largest eigenvalue of the Laplacian matrices of trees
• Unnamed Item
• Unnamed Item

This page was built for publication: On the Laplacian spectral radii of trees