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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2601.11877 |
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| _version_ | 1866915736881987584 |
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| author | Dinin, Natalie Lind, John A. |
| author_facet | Dinin, Natalie Lind, John A. |
| contents | We study covering graphs of the Paley graph associated to a finite field of characteristic p in the case where the covering transformation group is cyclic of prime order distinct from p. When the field has q = p elements, we show that the eigenvalues of the adjacency matrix determine the graph isomorphism class among translation invariant covers. When q = p^r > p, we construct examples of cospectral covering graphs that are not isomorphic as graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_11877 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the eigenvalues of cyclic covers of Paley graphs Dinin, Natalie Lind, John A. Combinatorics Number Theory 05C50 (primary), 11T23, 05C60, 05C25, 05E18 (secondary) We study covering graphs of the Paley graph associated to a finite field of characteristic p in the case where the covering transformation group is cyclic of prime order distinct from p. When the field has q = p elements, we show that the eigenvalues of the adjacency matrix determine the graph isomorphism class among translation invariant covers. When q = p^r > p, we construct examples of cospectral covering graphs that are not isomorphic as graphs. |
| title | On the eigenvalues of cyclic covers of Paley graphs |
| topic | Combinatorics Number Theory 05C50 (primary), 11T23, 05C60, 05C25, 05E18 (secondary) |
| url | https://arxiv.org/abs/2601.11877 |