Aki Mori

collaborators

3 papers

math.CO2026

Simplex faces and quadratic toric ideals of lattice polytopes

Aki Mori, Hidefumi Ohsugi

We say that a convex polytope has the clique-face property if every clique in its 1-skeleton is the vertex set of a face. We establish this property as a geometric necessary condit…

math.CO2025

Two-Dimensional Faces of Order and Chain Polytopes

Ragnar Freij-Hollanti, Teemu LundstrÃ¶m, Teemu Lundström +1

We give an explicit combinatorial description of the two-dimensional faces of both the order polytope $O (P)$ and the chain polytope $C (P)$ of a partially ordere…

math.CO2025

Triangular faces of the order and chain polytope of a maximal ranked poset

Aki Mori

Let $O (P)$ and $C (P)$ denote the order polytope and chain polytope, respectively, associated with a finite poset $P$ . We prove the following result: if $P$ is a…