The location of classified edges due to the change in the geometric multiplicity of an eigenvalue in a tree

Given a combinatorially symmetric matrix A whose graph is a tree T and its eigenvalues, edges in T can be classified in four categories, based upon the change in geometric multiplicity of a particular eigenvalue, when the edge is removed. We investigate a necessary and sufficient condition for each...

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Bibliographic Details
Main Author: Toyonaga Kenji
Format: Article
Language:English
Published: De Gruyter 2019-12-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.1515/spma-2019-0019