9 citations · 14 across the 4 of their papers we have counts for
5 papers
The Bergman fan of a polymatroid
Colin Crowley, June Huh, Matt Larson +2
We introduce the Bergman fan of a polymatroid and prove that the Chow ring of the Bergman fan is isomorphic to the Chow ring of the polymatroid. Using the Bergman fan, we establish…
Simplicial generation of Chow rings of matroids
Spencer Backman, Christopher Eur, Connor Simpson
We introduce a presentation of the Chow ring of a matroid by a new set of generators, called "simplicial generators." These generators are analogous to nef divisors on projective t…
Chow Rings of Vector Space Matroids
Thomas Hameister, Sujit Rao, Connor Simpson
The Chow ring of a matroid (or more generally, atomic latice) is an invariant whose importance was demonstrated by Adiprasito, Huh and Katz, who used it to resolve the long-standin…
Flow polytopes of partitions
Karola Mészáros, Connor Simpson, Zoe Wellner
Recent progress on flow polytopes indicates many interesting families with product formulas for their volume. These product formulas are all proved using analytic techniques. Our w…
The set splittability problem
Peter Bernstein, Cashous Bortner, Samuel Coskey +2
The set splittability problem is the following: given a finite collection of finite sets, does there exits a single set that contains exactly half the elements from each set in the…