3 papers
math.CO2026
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…
math.CO2025
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…
math.CO2025
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…