A Bijection between Necklaces and Restricted Multisets
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911130314604544 |
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| author | Li, Jiyou Zhou, Yanghongbo |
| author_facet | Li, Jiyou Zhou, Yanghongbo |
| contents | We present a proof of Swee Hong Chan's conjecture establishing a bijection between the set of necklaces of length $n$ with at most $q$ colors, and the set of periodic functions $f: \mathbb{Z}_{n}\to {0, 1, ..., q-1}$ whose weighted sum is divisible by $n$, where $q$ and $n$ are coprime positive integers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19940 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Bijection between Necklaces and Restricted Multisets Li, Jiyou Zhou, Yanghongbo Combinatorics We present a proof of Swee Hong Chan's conjecture establishing a bijection between the set of necklaces of length $n$ with at most $q$ colors, and the set of periodic functions $f: \mathbb{Z}_{n}\to {0, 1, ..., q-1}$ whose weighted sum is divisible by $n$, where $q$ and $n$ are coprime positive integers. |
| title | A Bijection between Necklaces and Restricted Multisets |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2507.19940 |