Classification of vertices and edges with respect to the geometric multiplicity of an eigenvalue in a matrix, with a given graph, over a field
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Publication:4685507
DOI10.1080/03081087.2017.1389848zbMath1406.15014OpenAlexW2765715509MaRDI QIDQ4685507
Carlos M. Saiago, Kenji Toyonaga, Charles R. Johnson
Publication date: 9 October 2018
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2017.1389848
Multiplicity theory and related topics (13H15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)
Related Items (4)
The effect of removing a 2-downer edge or a cut 2-downer edge triangle for an eigenvalue ⋮ Change in vertex status after removal of another vertex in the general setting ⋮ Classification of edges in a general graph associated with the change in multiplicity of an eigenvalue ⋮ The location of classified edges due to the change in the geometric multiplicity of an eigenvalue in a tree
Cites Work
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- The classification of edges and the change in multiplicity of an eigenvalue of a real symmetric matrix resulting from the change in an edge value
- The change in multiplicity of an eigenvalue of a Hermitian matrix associated with the removal of an edge from its graph
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- The change in eigenvalue multiplicity associated with perturbation of a diagonal entry
- The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree
- The Parter--Wiener Theorem: Refinement and Generalization
- Eigenvalues, Multiplicities and Graphs
- Hermitian Matrices, Eigenvalue Multiplicities, and Eigenvector Components
- On the Eigenvalues and Eigenvectors of a Class of Matrices
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