The multiplicity of eigenvalues of trees

DOI10.1016/j.laa.2022.08.018zbMath1498.05159OpenAlexW4293572032WikidataQ114151220 ScholiaQ114151220MaRDI QIDQ2080243

Yinhao Huang, Zhibin Du

Publication date: 7 October 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.2022.08.018

zbMATH Keywords

treesmultiplicity of eigenvaluesDowner branchParter-Wiener theorem

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (4)

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

Cites Work

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• The Parter--Wiener Theorem: Refinement and Generalization
• On the Eigenvalues and Eigenvectors of a Class of Matrices
• Ordering trees by their largest eigenvalues
• Ordering trees by their largest eigenvalues

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