Yingrui Zhang

activity

20182021

k

-Dyck paths

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

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.CO2020★ 1 cited

Dinv, Area, and Bounce for $k$ -Dyck paths

Guoce Xin, Yingrui Zhang

The well-known $q, t$ -Catalan sequence has two combinatorial interpretations as weighted sums of ordinary Dyck paths: one is Haglund's area-bounce formula, and the other is Haiman's…

math.CO2018

On the Sweep Map for $k$ -Dyck Paths

Guoce Xin, Yingrui Zhang

Garsia and Xin gave a linear algorithm for inverting the sweep map for Fuss rational Dyck paths in $D_{m, n}$ where $m = k n \pm 1$ . They introduced an intermediate family $\mathcal{T}_…

Enumerating Magic Distinct Labellings of the Cube

Dinv, Area, and Bounce for k-Dyck paths

On the Sweep Map for k-Dyck Paths

Dinv, Area, and Bounce for $k$ -Dyck paths

On the Sweep Map for $k$ -Dyck Paths