| Autor: |
Toyonaga Kenji |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Special Matrices, Vol 11, Iss 1, Pp 303-307 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2300-7451 |
| DOI: |
10.1515/spma-2022-0186 |
| Popis: |
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 known that 2-downer edges for an eigenvalue comprise cycles in the graph. We investigate the effect for the statuses of other edges or vertices by removing a 2-downer edge. Then, we investigate the change in the multiplicity of an eigenvalue by removing a cut 2-downer edge triangle. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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