4 papers
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…
Comparability in Bruhat orders
Jonathan Boretsky, Alvaro Cornejo, Reuven Hodges +3
We determine the sharp asymptotic scale of the probability that two uniformly random permutations are comparable in weak Bruhat order, showing that $\mathbb{P}(σ_1 \preceq_W σ_2)=\…
Generating functions of -chromatic polynomials
Matthias Beck, Benjamin Braun, Alvaro Cornejo
Given a graph and a linear form , Bajo et al. (2025) introduced the -chromatic polynomial w…
Equatorial Flow Triangulations of Gorenstein Flow Polytopes
Benjamin Braun, Alvaro Cornejo
Generalizing work of Athanasiadis for the Birkhoff polytope and Reiner and Welker for order polytopes, in 2007 Bruns and Römer proved that any Gorenstein lattice polytope with a re…