A decomposition formula for the Bartholdi zeta function of a hypergraph covering
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911293593616384 |
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| author | Watanabe, Kosei |
| author_facet | Watanabe, Kosei |
| contents | It is shown by Mizuno and Sato that the Bartholdi zeta function of a covering graph is decomposed as a product of Bartholdi zeta functions of a base graph that are associated with representations. In this paper, we extend their result to the case of a hypergraph covering. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_27134 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A decomposition formula for the Bartholdi zeta function of a hypergraph covering Watanabe, Kosei Combinatorics 05C65 (Primary), 11M41 (Secondary) It is shown by Mizuno and Sato that the Bartholdi zeta function of a covering graph is decomposed as a product of Bartholdi zeta functions of a base graph that are associated with representations. In this paper, we extend their result to the case of a hypergraph covering. |
| title | A decomposition formula for the Bartholdi zeta function of a hypergraph covering |
| topic | Combinatorics 05C65 (Primary), 11M41 (Secondary) |
| url | https://arxiv.org/abs/2510.27134 |