5 papers
Counting Lattice Points in Minkowski Sums of Cross Polytopes
Ziyi Dai, Qilin Hou, Zhiyuan Liu +2
Motivated by Postnikov's study of lattice-point enumeration in Minkowski sums of simplices, we investigate lattice points in Minkowski sums of cross polytopes and establish analogo…
Parking Function Polytopes
Fu Liu, Warut Thawinrak
We extend the notion of parking function polytopes and study their geometric and combinatorial structure, including normal fans, face posets, and -polynomials, as well as their…
Counting Lattice Points in Generalized Permutohedra From A to B
Warut Thawinrak
We derive a formula for the number of lattice points in type B generalized permutohedra, providing a concise alternative to the formula obtained recently by Eur, Fink, Larson, and…
A Short Proof for the Polynomiality of the Stretched Littlewood-Richardson Coefficients
Warut Thawinrak
The stretched Littlewood-Richardson coefficient was conjectured by King, Tollu, and Toumazet to be a polynomial function in It was shown to be true by Derksen…
High-order filtered schemes for the Hamilton-Jacobi continuum limit of nondominated sorting
Warut Thawinrak, Jeff Calder
We investigate high-order finite difference schemes for the Hamilton-Jacobi equation continuum limit of nondominated sorting. Nondominated sorting is an algorithm for sorting point…