Shishuo Fu

activity

20172024

collaborators

3 papers

math.CO2024

A group action on cyclic compositions and $γ$ -positivity

Shishuo Fu, Jie Yang

Let $w_{n, k, m}$ be the number of Dyck paths of semilength $n$ with $k$ occurrences of $U D$ and $m$ occurrences of $U U D$ . We establish in two ways a new interpretation of the number…

math.CO2022

An involution on restricted Laguerre histories and its applications

Joanna N. Chen, Shishuo Fu

Laguerre histories (restricted or not) are certain weighted Motzkin paths with two types of level steps. They are, on one hand, in natural bijection with the set of permutations, a…

math.CO2017

Some inequalities for $k$ -colored partition functions

Shane Chern, Shishuo Fu, Dazhao Tang

Motivated by a partition inequality of Bessenrodt and Ono, we obtain analogous inequalities for $k$ -colored partition functions $p_{- k} (n)$ for all $k \geq 2$ . This enables us to ext…

A group action on cyclic compositions and γ-positivity

An involution on restricted Laguerre histories and its applications

Some inequalities for k-colored partition functions

A group action on cyclic compositions and $γ$ -positivity

Some inequalities for $k$ -colored partition functions