On the multiplicity of positive eigenvalues of a graph

DOI10.1016/j.laa.2022.07.008zbMath1496.05103OpenAlexW4286516557WikidataQ114151298 ScholiaQ114151298MaRDI QIDQ2168915

Fenglei Tian, Y. J. Wang

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.2022.07.008

zbMATH Keywords

treesunicyclic graphseigenvalue multiplicitynonzero eigenvalues

Mathematics Subject Classification ID

Trees (05C05) Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (5)

A note on the multiplicities of the eigenvalues of a tree ⋮ 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

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• On graphs with an eigenvalue of maximal multiplicity
• On eigenvalue multiplicity and the girth of a graph
• Spectra of graphs
• On multiple eigenvalues of trees
• On the multiplicity of eigenvalues of trees
• A note on the multiplicities of graph eigenvalues
• ON THE MULTIPLICITIES OF GRAPH EIGENVALUES
• Graphs with least eigenvalue \(-2\): The star complement technique

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