A note on the multiplicities of the eigenvalues of a tree

DOI10.1016/j.laa.2022.07.006zbMath1496.05108OpenAlexW4286512413WikidataQ114151310 ScholiaQ114151310MaRDI QIDQ2168914

Qi Zhou, Yuanshuai Zhang, Dein Wong

Publication date: 26 August 2022

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

Full work available at URL: https://doi.org/10.1016/j.laa.2022.07.006

zbMATH Keywords

treestar complementeigenvalue multiplicity

Mathematics Subject Classification ID

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

Related Items (4)

The multiplicity of eigenvalues of unicyclic graphs ⋮ A relation between multiplicity of nonzero eigenvalues of trees and their matching numbers ⋮ Eigenvalue multiplicity of graphs with given cyclomatic number and given number of quasi-pendant vertices ⋮ The multiplicity of eigenvalues of trees

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On graphs with an eigenvalue of maximal multiplicity
• On eigenvalue multiplicity and the girth of a graph
• A note on the \(k\)th eigenvalue of trees
• On multiple eigenvalues of trees
• Bounds on the \(k\)th eigenvalues of trees and forests
• The maximal exceptional graphs
• On the multiplicity of positive eigenvalues of a graph
• On the multiplicity of eigenvalues of trees
• A note on the multiplicities of graph eigenvalues
• A lower bound for the number of distinct eigenvalues of some real symmetric matrices
• ON THE MULTIPLICITIES OF GRAPH EIGENVALUES
• A note on the multiplicities of the eigenvalues of a graph
• Ordering trees by their largest eigenvalues
• Graphs with least eigenvalue \(-2\): The star complement technique

This page was built for publication: A note on the multiplicities of the eigenvalues of a tree