The change in multiplicity of an eigenvalue due to adding or removing edges
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Publication:1625481
DOI10.1016/j.laa.2018.09.017zbMath1403.15007OpenAlexW2889606945WikidataQ129208484 ScholiaQ129208484MaRDI QIDQ1625481
Charles R. Johnson, Carlos M. Saiago, Kenji Toyonaga
Publication date: 29 November 2018
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2018.09.017
Multiplicity theory and related topics (13H15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)
Related Items (2)
The effect of removing a 2-downer edge or a cut 2-downer edge triangle for an eigenvalue ⋮ Classification of edges in a general graph associated with the change in multiplicity of an eigenvalue
Cites Work
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- The Parter--Wiener Theorem: Refinement and Generalization
- Hermitian Matrices, Eigenvalue Multiplicities, and Eigenvector Components
- On the Eigenvalues and Eigenvectors of a Class of Matrices
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