Jyun-Cheng Yao

collaborators

2 papers

math.CO2023

On $q$ -Counting of Noncrossing Chains and Parking Functions

Yen-Jen Cheng, Sen-Peng Eu, Tung-Shan Fu +1

For a finite Coxeter group $W$ , Josuat-Vergès derived a $q$ -polynomial counting the maximal chains in the lattice of noncrossing partitions of $W$ by weighting some of the covering…

math.CO2022

On Signed Multiplicities of Schur Expansions Surrounding Petrie Symmetric Functions

Yen-Jen Cheng, Meng-Chien Chou, Sen-Peng Eu +2

For $k \geq 1$ , the homogeneous symmetric functions $G (k, m)$ of degree $m$ defined by $\sum_{m \geq 0} G (k, m) z^{m} = \prod_{i \geq 1} (1 + x_{i} z + x_{i}^{2} z^{2} + \dots + x_{i}^{k - 1} z^{k - 1})$ are…

On q-Counting of Noncrossing Chains and Parking Functions

On Signed Multiplicities of Schur Expansions Surrounding Petrie Symmetric Functions

On $q$ -Counting of Noncrossing Chains and Parking Functions