Simplex faces of order and chain polytopes
Combinatorics
2025-09-11 v4
Abstract
It will be proved that a -clique in the -skeleton of either the order polytope or the chain polytope corresponds to the -face, which is a simplex, in each polytope. These results generalize the known explicit descriptions of edges and triangular -faces of each polytope.
Keywords
Cite
@article{arxiv.2307.08447,
title = {Simplex faces of order and chain polytopes},
author = {Aki Mori},
journal= {arXiv preprint arXiv:2307.08447},
year = {2025}
}
Comments
6 pages, one reference added, to appear in Order