Major Index on Catalan Combinatorics
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917731789438976 |
|---|---|
| author | Shigechi, Keiichi |
| author_facet | Shigechi, Keiichi |
| contents | We study the two statistics, the inversion number and the major index, on Catalan combinatorial objects such as $r$-Dyck paths, $r$-Stirling permutations, non-crossing partitions, Dyck tilings, and symmetric Dyck paths. We show that they are equidistributed with the inversion number or the major index on Dyck paths. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17168 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Major Index on Catalan Combinatorics Shigechi, Keiichi Combinatorics We study the two statistics, the inversion number and the major index, on Catalan combinatorial objects such as $r$-Dyck paths, $r$-Stirling permutations, non-crossing partitions, Dyck tilings, and symmetric Dyck paths. We show that they are equidistributed with the inversion number or the major index on Dyck paths. |
| title | Major Index on Catalan Combinatorics |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2407.17168 |