3 papers
math.CO2019
Multivariate polynomials for generalized permutohedra
Eric Katz, McCabe Olsen
Using the notion of Mahonian statistic on acyclic posets, we introduce a -analogue of the -polynomial of a simple generalized permutohedron. We focus primarily on the case of…
math.CO2019
Unconditional reflexive polytopes
Florian Kohl, McCabe Olsen, Raman Sanyal
A convex body is unconditional if it is symmetric with respect to reflections in all coordinate hyperplanes. In this paper, we investigate unconditional lattice polytopes with resp…
math.CO2019
Birkhoff polytopes of different type and the orthant-lattice property
Florian Kohl, McCabe Olsen
The Birkhoff polytope, defined to be the convex hull of permutation matrices, is a well studied polytope in the context of the Ehrhart theory. This polytope is known to…