Restricted Fubini Rankings and Restricted Unit Interval Parking Functions
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912686646755328 |
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| author | Barreto, Camilo Harris, Pamela Ramírez, José L. Ramírez, Samuel Vasquez, Julio C. |
| author_facet | Barreto, Camilo Harris, Pamela Ramírez, José L. Ramírez, Samuel Vasquez, Julio C. |
| contents | We study three natural types of restrictions on Fubini rankings and unit interval parking functions, which are motivated by their correspondence with ordered set partitions. For each restriction type, we define the corresponding subset of Fubini rankings and unit interval parking functions, establish enumerative results, and provide bijections between the restricted families. We also obtain exponential generating functions and combinatorial interpretations, including connections with exceedances in permutations and with the absence of cyclical adjacencies in set partitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01997 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Restricted Fubini Rankings and Restricted Unit Interval Parking Functions Barreto, Camilo Harris, Pamela Ramírez, José L. Ramírez, Samuel Vasquez, Julio C. Combinatorics 05A15, 05A18 We study three natural types of restrictions on Fubini rankings and unit interval parking functions, which are motivated by their correspondence with ordered set partitions. For each restriction type, we define the corresponding subset of Fubini rankings and unit interval parking functions, establish enumerative results, and provide bijections between the restricted families. We also obtain exponential generating functions and combinatorial interpretations, including connections with exceedances in permutations and with the absence of cyclical adjacencies in set partitions. |
| title | Restricted Fubini Rankings and Restricted Unit Interval Parking Functions |
| topic | Combinatorics 05A15, 05A18 |
| url | https://arxiv.org/abs/2511.01997 |