Flattened Catalan Words
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914789098258432 |
|---|---|
| author | Baril, Jean-Luc Harris, Pamela E. Ramírez, José L. |
| author_facet | Baril, Jean-Luc Harris, Pamela E. Ramírez, José L. |
| contents | In this work, we define flattened Catalan words as Catalan words whose runs of weak ascents have leading terms that appear in weakly increasing order. We provide generating functions, formulas, and asymptotic expressions for the number of flattened Catalan words based on the number of runs of ascents (descents), runs of weak ascents (descents), $\ell$-valleys, valleys, symmetric valleys, $\ell$-peaks, peaks, and symmetric peaks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05357 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Flattened Catalan Words Baril, Jean-Luc Harris, Pamela E. Ramírez, José L. Combinatorics 05A15, 05A19 In this work, we define flattened Catalan words as Catalan words whose runs of weak ascents have leading terms that appear in weakly increasing order. We provide generating functions, formulas, and asymptotic expressions for the number of flattened Catalan words based on the number of runs of ascents (descents), runs of weak ascents (descents), $\ell$-valleys, valleys, symmetric valleys, $\ell$-peaks, peaks, and symmetric peaks. |
| title | Flattened Catalan Words |
| topic | Combinatorics 05A15, 05A19 |
| url | https://arxiv.org/abs/2405.05357 |