17 citations · 30 across the 16 of their papers we have counts for
18 papers · 1 filter
Locally anti-blocking -polytopes for flow polytopes
Jonah Berggren, Benjamin Braun, Alvaro Cornejo +6
Given an acyclic directed graph (DAG), the space of strength one flows is a lattice polytope called the flow polytope of the DAG. If the DAG admits an ample framing, then the flow…
Permutation Flows I: Triangulations of Flow Polytopes (Research Announcement)
Rafael S. González D'León, Christopher R. H. Hanusa, Martha Yip
We introduce a new broadly unifying family of combinatorial objects, which we call permutation flows, associated to an acyclic directed graph together with a framing . This…
Realizing the -permutahedron via flow polytopes
Rafael S. González D'León, Alejandro H. Morales, Eva Philippe +2
Ceballos and Pons introduced the -weak order on -decreasing trees, for any weak composition . They proved that it has a lattice structure and further conjectured that it c…
On the subdivision algebra for the polytope
Matias von Bell, Martha Yip
The polytopes were introduced by Ceballos, Padrol, and Sarmiento to provide a geometric approach to the study of -Tamari lattices. They obser…
Triangulations of Flow Polytopes, Ample Framings, and Gentle Algebras
Matias von Bell, Benjamin Braun, Kaitlin Bruegge +4
The cone of nonnegative flows for a directed acyclic graph (DAG) is known to admit regular unimodular triangulations induced by framings of the DAG. These triangulations restrict t…
Column convex matrices, -cyclic orders, and flow polytopes
Rafael S. González D'León, Christopher R. H. Hanusa, Alejandro H. Morales +1
We study polytopes defined by inequalities of the form for and nonnegative where the inequalities can be reordered into a matrix…