Chen Zhang

collaborators

3 papers

math.CO2026

Counterexamples to the Minimum Period Conjecture for Restricted Partition Functions

Feihu Liu, Jinlong Tang, Guoce Xin +1

For a finite sequence of positive integers $a = (a_{1}, \dots, a_{n})$ , the restricted partition function $q_{a} (k)$ denote the number of nonnegative integer solu…

math.CO2026

A proof of Xin-Zhang's tridiagonal determinant conjecture (extended version)

Jiaqiang Hu, Chen Zhang

We confirm a recent conjecture of Xin and Zhang, which establishes a simple product formula for the characteristic polynomial of an $(n - 1) \times (n - 1)$ tridiagonal matrix $C$ . Thi…

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…