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arXiv · 2307.08447

Simplex faces of order and chain polytopes

Aki Mori
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Abstract

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.

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Aki Mori. 2025-09-10. Simplex faces of order and chain polytopes. https://arxiv.org/abs/2307.08447

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