Permutations that strongly avoid 132
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914514614616064 |
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| author | Archer, Kassie Graves, Christina |
| author_facet | Archer, Kassie Graves, Christina |
| contents | A permutation $π$ strongly avoids the pattern $τ$ if both $π$ and $π^2$ avoid $τ$. In this paper, we enumerate permutations of size $n$ that strongly avoid the pattern 132. This enumeration allows us to prove a conjecture that the growth rate of such permutations is 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_25912 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Permutations that strongly avoid 132 Archer, Kassie Graves, Christina Combinatorics A permutation $π$ strongly avoids the pattern $τ$ if both $π$ and $π^2$ avoid $τ$. In this paper, we enumerate permutations of size $n$ that strongly avoid the pattern 132. This enumeration allows us to prove a conjecture that the growth rate of such permutations is 2. |
| title | Permutations that strongly avoid 132 |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2604.25912 |