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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2307.08447 |
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| _version_ | 1866908528879337472 |
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| author | Mori, Aki |
| author_facet | Mori, Aki |
| contents | It will be proved that a $k$-clique in the $1$-skeleton of either the order polytope or the chain polytope corresponds to the $(k-1)$-face, which is a simplex, in each polytope. These results generalize the known explicit descriptions of edges and triangular $2$-faces of each polytope. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_08447 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Simplex faces of order and chain polytopes Mori, Aki Combinatorics 52B11 It will be proved that a $k$-clique in the $1$-skeleton of either the order polytope or the chain polytope corresponds to the $(k-1)$-face, which is a simplex, in each polytope. These results generalize the known explicit descriptions of edges and triangular $2$-faces of each polytope. |
| title | Simplex faces of order and chain polytopes |
| topic | Combinatorics 52B11 |
| url | https://arxiv.org/abs/2307.08447 |