Applications of rational difference equations to spectral graph theory: expanded version
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
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| _version_ | 1866916817576919040 |
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| author | Oliveira, Elismar R. Trevisan, Vilmar |
| author_facet | Oliveira, Elismar R. Trevisan, Vilmar |
| contents | We study a general class of recurrence relations that appear in the application of a matrix diagonalization procedure. We find general closed formula and determine analytical properties of the solutions. We finally apply these findings in several problems involving eigenvalues of graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_01648 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Applications of rational difference equations to spectral graph theory: expanded version Oliveira, Elismar R. Trevisan, Vilmar Combinatorics Spectral Theory 05C50 We study a general class of recurrence relations that appear in the application of a matrix diagonalization procedure. We find general closed formula and determine analytical properties of the solutions. We finally apply these findings in several problems involving eigenvalues of graphs. |
| title | Applications of rational difference equations to spectral graph theory: expanded version |
| topic | Combinatorics Spectral Theory 05C50 |
| url | https://arxiv.org/abs/2009.01648 |