3 citations · 3 across the 8 of their papers we have counts for
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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…
A variation of the Morris constant term
Guoce Xin, Chen Zhang
The Morris constant term identity is important due to its equivalence with the well-known Selberg integral. We find a variation of the Morris constant term, denoted , in th…
A polynomial time algorithm for Sylvester waves when entries are bounded
Guoce Xin, Chen Zhang
The Sylvester's denumerant \( d(t; \boldsymbol{a}) \) is a quantity that counts the number of nonnegative integer solutions to the equation \( \sum_{i=1}^{N} a_i x_i = t \), where…
Three Simple Reduction Formulas for the Denumerant Functions
Feihu Liu, Guoce Xin, Chen Zhang
Let be a nonempty set of positive integers. The restricted partition function denotes the number of partitions of with parts in . When the elements in are p…