3 papers
math.CO2025
The Sign Pattern Problem for Ehrhart Polynomials
Feihu Liu, Sihao Tao, Guoce Xin
We investigate the sign patterns of coefficients in the Ehrhart polynomial of the Cartesian product between the -th pyramid over the Reeve tetrahedron and the hypercube $[0, n]^…
math.CO2024
Ehrhart Polynomials of Order Polytopes: Interpreting Combinatorial Sequences on the OEIS
Feihu Liu, Guoce Xin, Chen Zhang
In this paper, we provide an overview of Ehrhart polynomials associated with order polytopes of finite posets, a concept first introduced by Stanley. We focus on their combinatoria…
math.CO2024
On -partitions Extended by Two-Rowed Plane Partitions
Jingxuan Li, Feihu Liu, Guoce Xin
Inspired by Gansner's elegant -trace generating function for rectangular plane partitions, we introduce two novel operators, and , along with their combinatorial…