Yingrui Zhang

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20182024

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1 citations · 1 across the 8 of their papers we have counts for

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math.CO2021

Enumerating Magic Distinct Labellings of the Cube

Guoce Xin, Yingrui Zhang, Zihao Zhang

We find by applying MacMahon's partition analysis that all magic labellings of the cube are of eight types, each generated by six basis elements. A combinatorial proof of this fact…

math.CO2021

The $q, t$ -symmetry of the generalized $q, t$ -Catalan number $C_{(k_{1}, k_{2}, k_{3})} (q, t)$ and $C_{(k, k, k, k)} (q, t)$

Guoce Xin, Yingrui Zhang

We give two proofs of the $q, t$ -symmetry of the generalized $q, t$ -Catalan number $C_{k} (q, t)$ for $k = (k_{1}, k_{2}, k_{3})$ . One is by using MacMahon's partition analysis as we…

Enumerating Magic Distinct Labellings of the Cube

The q,t-symmetry of the generalized q,t-Catalan number C(k1​,k2​,k3​)​(q,t) and C(k,k,k,k)​(q,t)

The $q, t$ -symmetry of the generalized $q, t$ -Catalan number $C_{(k_{1}, k_{2}, k_{3})} (q, t)$ and $C_{(k, k, k, k)} (q, t)$