Parter vertices and generalization of the downer branch mechanism in the general setting

DOI10.1080/03081087.2023.2176414zbMATH Open1540.05114MaRDI QIDQ6546567

C. R. Johnson, Kenji Toyonaga

Publication date: 29 May 2024

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

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Cites Work

• The change in multiplicity of an eigenvalue of a Hermitian matrix associated with the removal of an edge from its graph
• The change in multiplicity of an eigenvalue due to adding or removing edges
• Geometric Parter-Wiener, etc. theory
• Change in vertex status after removal of another vertex in the general setting
• The Parter--Wiener Theorem: Refinement and Generalization
• Eigenvalues, Multiplicities and Graphs
• Hermitian Matrices, Eigenvalue Multiplicities, and Eigenvector Components
• Classification of vertices and edges with respect to the geometric multiplicity of an eigenvalue in a matrix, with a given graph, over a field
• Classification of edges in a general graph associated with the change in multiplicity of an eigenvalue

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