Non-existence of co-spectral simple connected graphs with small number of edges
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911125765881856 |
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| author | Boyko, O. Kaliuzhnyi-Verbovetskyi, D. Pivovarchik, V. |
| author_facet | Boyko, O. Kaliuzhnyi-Verbovetskyi, D. Pivovarchik, V. |
| contents | We prove that if the number of edges does not exceed 7 then the asymptotics of eigenvalues of the Dirichlet problem uniquely determine the shape of the graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20001 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-existence of co-spectral simple connected graphs with small number of edges Boyko, O. Kaliuzhnyi-Verbovetskyi, D. Pivovarchik, V. Mathematical Physics Combinatorics Spectral Theory We prove that if the number of edges does not exceed 7 then the asymptotics of eigenvalues of the Dirichlet problem uniquely determine the shape of the graph. |
| title | Non-existence of co-spectral simple connected graphs with small number of edges |
| topic | Mathematical Physics Combinatorics Spectral Theory |
| url | https://arxiv.org/abs/2508.20001 |