Classification of vertices and edges with respect to the geometric multiplicity of an eigenvalue in a matrix, with a given graph, over a field-Reference-Cited by-同舟云学术

Classification of vertices and edges with respect to the geometric multiplicity of an eigenvalue in a matrix, with a given graph, over a field

Published:2017-10-20 Issue:11 Volume:66 Page:2168-2182
ISSN:0308-1087
Container-title:Linear and Multilinear Algebra
language:en
Short-container-title:Linear and Multilinear Algebra

Author:

Johnson Charles R.¹,Saiago Carlos M.²,Toyonaga Kenji³

Affiliation:

1. Department of Mathematics, College of William and Mary , Williamsburg, VA, USA.

2. Centro de Matemática e Aplicações (CMA/FCT/UNL), Departamento de Matemática, Faculdade de Ciências e Tecnologia da, Universidade NOVA de Lisboa , Quinta da Torre, Portugal.

3. Department of Creative Engineering, National Institute of Technology, Kitakyushu College , Kitakyushu, Japan.

Funder

Fundação para a Ciência e a Tecnologia

FCT

Publisher

Informa UK Limited

Subject

Algebra and Number Theory

Link

https://www.tandfonline.com/doi/pdf/10.1080/03081087.2017.1389848

Reference11 articles.

1. The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree

2. The Parter--Wiener Theorem: Refinement and Generalization

3. The change in eigenvalue multiplicity associated with perturbation of a diagonal entry

4. Eigenvalues, Multiplicities and Graphs

5. Hermitian Matrices, Eigenvalue Multiplicities, and Eigenvector Components

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1. Parter vertices and generalization of the downer branch mechanism in the general setting;Linear and Multilinear Algebra;2023-02-19

2. The effect of removing a 2-downer edge or a cut 2-downer edge triangle for an eigenvalue;Special Matrices;2023-01-01

3. Change in vertex status after removal of another vertex in the general setting;Linear Algebra and its Applications;2021-03

4. Classification of edges in a general graph associated with the change in multiplicity of an eigenvalue;Linear and Multilinear Algebra;2020-09-28

5. The location of classified edges due to the change in the geometric multiplicity of an eigenvalue in a tree;Special Matrices;2019-01-01