Feihu Liu

collaborators

4 papers

math.NT2026

On the Frobenius Number of Quotients of Numerical Semigroups

Feihu Liu

Given a numerical semigroup $S$ and a positive integer $p$ , the quotient $\frac{S}{p} = {n \in N ∣ p n \in S}$ also forms a numerical semigroup. When $S=\langle a,b\rangle…

math.CO2026

Explicit Construction of Polytopes whose Ehrhart Polynomials Realize any Given Sign Pattern

Feihu Liu, Sihao Tao, Guoce Xin

In Ehrhart theory, the well-known sign pattern problem asks: given a positive integer $d \geq 3$ and integers $1 \leq i_{1} < \dots < i_{k} \leq d - 2$ , does there exist a $d$ -dimensiona…

math.CO2026

Proofs of four generating function conjectures for arbor polytopes

Feihu Liu, Jinlong Tang

This paper proves four conjectured generating series, due to Chapoton, which concern invariants of posets and polytopes associated with a specific sequence of arbors. Two of these…

math.CO2026

The Frobenius problem for a class of quotients of numerical semigroups

Feihu Liu

Given a numerical semigroup $S$ and a positive integer $p$ , the quotient $\frac{S}{p} = {x \in N ∣ p x \in S}$ also forms a numerical semigroup. In this paper, we first ch…