3 problems

Let $S_n$ denote the poset used in the paper, and let $\mathcal{O}(S_n)$ be its order polytope. Let $\operatorname{Cat}(m)$ denote the $m$th Catalan number. Odd-Catalan enumeration…

Let $\mathbf{w} in \mathcal{V}$, and let $\mathcal{O}(Q_{\mathbf{w}})$ be the associated order polytope. A triangulation is regular if it arises from a lifting function, equivalent…

Stably regular triangulation conjecture. A triangulation $T \in {\cal T}_{\mathsf{part}}(P)$ is stably regular if and only if