Bijections between Variants of Dyck Paths and Integer Compositions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913402640662528 |
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| author | Dastidar, Manosij Ghosh Wallner, Michael |
| author_facet | Dastidar, Manosij Ghosh Wallner, Michael |
| contents | We give bijective results between several variants of lattice paths of length $2n$ (or $2n-2$) and integer compositions of n, all enumerated by the seemingly innocuous formula $4^{n-1}$. These associations lead us to make new connections between these objects, such as congruence results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16404 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bijections between Variants of Dyck Paths and Integer Compositions Dastidar, Manosij Ghosh Wallner, Michael Combinatorics Number Theory G.2.1 We give bijective results between several variants of lattice paths of length $2n$ (or $2n-2$) and integer compositions of n, all enumerated by the seemingly innocuous formula $4^{n-1}$. These associations lead us to make new connections between these objects, such as congruence results. |
| title | Bijections between Variants of Dyck Paths and Integer Compositions |
| topic | Combinatorics Number Theory G.2.1 |
| url | https://arxiv.org/abs/2406.16404 |