Pattern-restricted permutations of small order
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916136023490560 |
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| author | Archer, Kassie Laudone, Robert P. |
| author_facet | Archer, Kassie Laudone, Robert P. |
| contents | We enumerate 132-avoiding permutations of order 3 in terms of the Catalan and Motzkin generating functions, answering a question of Bóna and Smith from 2019. We also enumerate 231-avoiding permutations that are composed only of 3-cycles, 2-cycles, and fixed points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_15463 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pattern-restricted permutations of small order Archer, Kassie Laudone, Robert P. Combinatorics We enumerate 132-avoiding permutations of order 3 in terms of the Catalan and Motzkin generating functions, answering a question of Bóna and Smith from 2019. We also enumerate 231-avoiding permutations that are composed only of 3-cycles, 2-cycles, and fixed points. |
| title | Pattern-restricted permutations of small order |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2402.15463 |