Jon Lee

collaborators

4 papers

math.CO2026

Facet normals of Minkowski sums of staircase simplices

Yushan Qu, Jon Lee

Staircase simplices are the simplices of the standard (Freudenthal--Kuhn) triangulation of $[0, 1]^{d}$ and of Stanley's triangulations of order polytopes. We study the facet normals…

math.CO2026

On the facets of the Cayley polytope of Stanley's triangulation

Yushan Qu, Jon Lee

Disjunctions over the cells of a triangulation arise in formulations of piecewise-linear functions. For a poset $P$ on $[d]$ , we study the convex hull $D$ of the simplices of Stanl…

math.OC2026

On disjunction convex hulls for generalized cross polytopes

Yushan Qu, Jon Lee

We continue the study of the natural polytope $D$ in $R^{n + d}$ associated with the disjunction of a set of $n + 1$ polytopes in $R^{d}$ , managed by $n$ bina…

math.OC2024

On disjunction convex hulls by lifting

Yushan Qu, Jon Lee

We study the natural extended-variable formulation for the disjunction of $n + 1$ polytopes in $R^{d}$ . We demonstrate that the convex hull $D$ in the natural extended-variabl…