3 problems

Symmetric exchange conjecture. The toric ideal of the base ring of a discrete polymatroid is generated by symmetric exchange binomials.

An integral generalized permutohedron is a polytope whose edges are parallel to vectors $e_i-e_j$; equivalently, it is a base polytope of a discrete polymatroid. A polytope is Ehrh…

Let $\alpha\in\mathbb N^n$, and let $P$ be a discrete polymatroid. The source's Theorem concerns the preservation, under expansion, of the property that the toric ideal is generate…