2-levelness of Marked Poset Polytopes and the Ehrhart polynomial
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910890487447552 |
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| author | Stricker, Jan |
| author_facet | Stricker, Jan |
| contents | It is already known that order polytopes and chain polytopes are always 2-level polytopes. In general, this is not true for marked order and marked chain polytopes. We study the geometry of marked order polytopes, marked chain polytopes, and marked chain-order polytopes, providing a comprehensive characterisation of 2-levelness for these polytopes. Furthermore, we present an exact formula for the Ehrhart polynomial of marked order polytopes. Because of their connection to marked chain and marked chain-order polytopes, this polynomial is also the Ehrhart polynomial of these polytopes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07492 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | 2-levelness of Marked Poset Polytopes and the Ehrhart polynomial Stricker, Jan Combinatorics Primary: 52B20 Secondary: 52B12 06A07 51M20 05A15 It is already known that order polytopes and chain polytopes are always 2-level polytopes. In general, this is not true for marked order and marked chain polytopes. We study the geometry of marked order polytopes, marked chain polytopes, and marked chain-order polytopes, providing a comprehensive characterisation of 2-levelness for these polytopes. Furthermore, we present an exact formula for the Ehrhart polynomial of marked order polytopes. Because of their connection to marked chain and marked chain-order polytopes, this polynomial is also the Ehrhart polynomial of these polytopes. |
| title | 2-levelness of Marked Poset Polytopes and the Ehrhart polynomial |
| topic | Combinatorics Primary: 52B20 Secondary: 52B12 06A07 51M20 05A15 |
| url | https://arxiv.org/abs/2401.07492 |