4 papers
On the geometry of stack-sorting simplices
Cameron Ake, Spencer F. Lewis, Amanda Louie +1
We show that all stack-sorting polytopes are simplices. Furthermore, we show that the stack-sorting polytopes generated from permutations have relative volume 1. We establish…
Unitary actions and equivariant volumes of symmetric edge polytopes
Tito Augusto Cuchilla, Joseph Hound, Cole Plepel +2
The symmetric edge polytope () of a finite simple graph is a centrally symmetric lattice polytope whose vertices are defined by the edges of the graph. Among the…
The Ehrhart polynomial of a matroid specializes to the beta invariant
Anastasia Chavez, Galen Dorpalen-Barry, Luis Ferroni +3
We show that the linear coefficient of the Ehrhart polynomial of a matroid base polytope evaluated at is equal to, up to normalization, the -invariant of the matroid. This…
Combinatorial Results on Barcode Lattices
Alex Bouquet, Andrés R. Vindas-Meléndez
A barcode is a finite multiset of intervals on the real line. Jaramillo-Rodriguez (2023) previously defined a map from the space of barcodes with a fixed number of bars to a set of…