Cyclic permutations avoiding patterns in both one-line and cycle forms
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916378259226624 |
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| author | Archer, Kassie Borsh, Ethan Bridges, Jensen Graves, Christina Jeske, Millie |
| author_facet | Archer, Kassie Borsh, Ethan Bridges, Jensen Graves, Christina Jeske, Millie |
| contents | Let $σ$ and $τ$ be patterns of length three; that is $σ, τ\in \{123,132,213,231,312,321\}$. In this paper, we enumerate the set of cyclic permutations in $\mathcal{S}_n$ that avoid $σ$ in their one-line notation and another pattern $τ$ in their cycle notation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_05145 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Cyclic permutations avoiding patterns in both one-line and cycle forms Archer, Kassie Borsh, Ethan Bridges, Jensen Graves, Christina Jeske, Millie Combinatorics 05A05, 05A15, 05A10 Let $σ$ and $τ$ be patterns of length three; that is $σ, τ\in \{123,132,213,231,312,321\}$. In this paper, we enumerate the set of cyclic permutations in $\mathcal{S}_n$ that avoid $σ$ in their one-line notation and another pattern $τ$ in their cycle notation. |
| title | Cyclic permutations avoiding patterns in both one-line and cycle forms |
| topic | Combinatorics 05A05, 05A15, 05A10 |
| url | https://arxiv.org/abs/2312.05145 |