Guoce Xin

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20232026

most citedA Combinatorial Approach to Frobenius Numbers of Some Special Sequences (Complete Version)

6 citations · 12 across the 23 of their papers we have counts for

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4 papers · 1 filter

math.CO2023

An algebraic combinatorial approach to Sylvester's denumerant

Guoce Xin, Chen Zhang

For a positive integer sequence $a = (a_{1}, \dots, a_{N + 1})$ , Sylvester's denumerant $E (a; t)$ counts the number of nonnegative integer solutions to $\sum_{i…

math.CO2023

A parking function interpretation for $(- 1)^{k} \nabla m_{2^{k} 1^{l}}$

Menghao Qu, Guoce Xin

Haglund, Morse, and Zabrocki introduced a family of creation operators of Hall-Littlewood polynomials, ${C_{a}}$ for any $a \in Z$ , in their compositional refinement of t…

math.CO2023★ 3 cited

The Frobenius Formula for $A = (a, ha + d, ha + b_{2} d, ..., ha + b_{k} d)$

Feihu Liu, Guoce Xin, Suting Ye +1

Given relative prime positive integers $A = (a_{1}, a_{2}, ..., a_{n})$ , the Frobenius number $g (A)$ is the largest integer not representable as a linear combination of the $a_{i}$ 's with no…

math.CO2023★ 6 cited

A Combinatorial Approach to Frobenius Numbers of Some Special Sequences (Complete Version)

Feihu Liu, Guoce Xin

Let $A = (a_{1}, a_{2}, ..., a_{n})$ be relative prime positive integers with $a_{i} \geq 2$ . The Frobenius number $g (A)$ is the greatest integer not belonging to the set $\big\{ \sum_{i=1}^n…

An algebraic combinatorial approach to Sylvester's denumerant

A parking function interpretation for (−1)k∇m2k1l​

The Frobenius Formula for A=(a,ha+d,ha+b2​d,...,ha+bk​d)

A Combinatorial Approach to Frobenius Numbers of Some Special Sequences (Complete Version)

A parking function interpretation for $(- 1)^{k} \nabla m_{2^{k} 1^{l}}$

The Frobenius Formula for $A = (a, ha + d, ha + b_{2} d, ..., ha + b_{k} d)$