Enumerating tame friezes over $\mathbb{Z}/n\mathbb{Z}$
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916461977534464 |
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| author | Benzaira, Sammy Short, Ian van Son, Matty Zabolotskii, Andrei |
| author_facet | Benzaira, Sammy Short, Ian van Son, Matty Zabolotskii, Andrei |
| contents | We use a class of Farey graphs introduced by the final three authors to enumerate the tame friezes over $\mathbb{Z}/n\mathbb{Z}$. Using the same strategy we enumerate the tame regular friezes over $\mathbb{Z}/n\mathbb{Z}$, thereby reproving a recent result of Böhmler, Cuntz, and Mabilat. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23400 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Enumerating tame friezes over $\mathbb{Z}/n\mathbb{Z}$ Benzaira, Sammy Short, Ian van Son, Matty Zabolotskii, Andrei Combinatorics 05E16 (Primary) 11B57 (Secondary) We use a class of Farey graphs introduced by the final three authors to enumerate the tame friezes over $\mathbb{Z}/n\mathbb{Z}$. Using the same strategy we enumerate the tame regular friezes over $\mathbb{Z}/n\mathbb{Z}$, thereby reproving a recent result of Böhmler, Cuntz, and Mabilat. |
| title | Enumerating tame friezes over $\mathbb{Z}/n\mathbb{Z}$ |
| topic | Combinatorics 05E16 (Primary) 11B57 (Secondary) |
| url | https://arxiv.org/abs/2410.23400 |