The effect of removing a 2-downer edge or a cut 2-downer edge triangle for an eigenvalue

Edges in the graph associated with a square matrix over a field may be classified as to how their removal affects the multiplicity of an identified eigenvalue. There are five possibilities: +2+2 (2-Parter); +1+1 (Parter); no change (neutral); −1-1 (downer); and −2-2 (2-downer). Especially, it is kno...

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Bibliographic Details
Main Author: Toyonaga Kenji
Format: Article
Language:English
Published: De Gruyter 2023-03-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.1515/spma-2022-0186

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