On the geometry of stack-sorting simplices
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913969442127872 |
|---|---|
| author | Ake, Cameron Lewis, Spencer F. Louie, Amanda Vindas-Meléndez, Andrés R. |
| author_facet | Ake, Cameron Lewis, Spencer F. Louie, Amanda Vindas-Meléndez, Andrés R. |
| contents | We show that all stack-sorting polytopes are simplices. Furthermore, we show that the stack-sorting polytopes generated from $Ln1$ permutations have relative volume 1. We establish an upper bound for the number of lattice points in a stack-sorting polytope. In particular, stack-sorting polytopes generated from $2Ln1$ permutations have no interior points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_00219 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the geometry of stack-sorting simplices Ake, Cameron Lewis, Spencer F. Louie, Amanda Vindas-Meléndez, Andrés R. Combinatorics 52B05, 05A15, 52B20 We show that all stack-sorting polytopes are simplices. Furthermore, we show that the stack-sorting polytopes generated from $Ln1$ permutations have relative volume 1. We establish an upper bound for the number of lattice points in a stack-sorting polytope. In particular, stack-sorting polytopes generated from $2Ln1$ permutations have no interior points. |
| title | On the geometry of stack-sorting simplices |
| topic | Combinatorics 52B05, 05A15, 52B20 |
| url | https://arxiv.org/abs/2508.00219 |