Some distributions in increasing and flattened permutations
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909357015302144 |
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| author | Baril, Jean-Luc Ramírez, José L. |
| author_facet | Baril, Jean-Luc Ramírez, José L. |
| contents | We examine the distribution and popularity of different parameters (such as the number of descents, runs, valleys, peaks, right-to-left minima, and more) on the sets of increasing and flattened permutations. For each parameter, we provide an exponential generating function for its corresponding distribution and popularity.Additionally, we present one-to-one correspondences between these permutations and some classes of simpler combinatorial objects. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_15434 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some distributions in increasing and flattened permutations Baril, Jean-Luc Ramírez, José L. Combinatorics 05A15, 05A19 We examine the distribution and popularity of different parameters (such as the number of descents, runs, valleys, peaks, right-to-left minima, and more) on the sets of increasing and flattened permutations. For each parameter, we provide an exponential generating function for its corresponding distribution and popularity.Additionally, we present one-to-one correspondences between these permutations and some classes of simpler combinatorial objects. |
| title | Some distributions in increasing and flattened permutations |
| topic | Combinatorics 05A15, 05A19 |
| url | https://arxiv.org/abs/2410.15434 |