IDP for 2-Partition Maximal Symmetric Polytopes
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913640321384448 |
|---|---|
| author | Hong, Su Ji Nasr, George D. |
| author_facet | Hong, Su Ji Nasr, George D. |
| contents | We provide a framework for which one can approach showing the integer decomposition property for symmetric polytopes. We utilize this framework to prove a special case which we refer to as $2$-partition maximal polytopes in the case where it lies in a hyperplane of $\mathbb{R}^3$. Our method involves proving a special collection of polynomials have saturated Newton polytope. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04191 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | IDP for 2-Partition Maximal Symmetric Polytopes Hong, Su Ji Nasr, George D. Combinatorics 52B05, 52B15 We provide a framework for which one can approach showing the integer decomposition property for symmetric polytopes. We utilize this framework to prove a special case which we refer to as $2$-partition maximal polytopes in the case where it lies in a hyperplane of $\mathbb{R}^3$. Our method involves proving a special collection of polynomials have saturated Newton polytope. |
| title | IDP for 2-Partition Maximal Symmetric Polytopes |
| topic | Combinatorics 52B05, 52B15 |
| url | https://arxiv.org/abs/2501.04191 |