Rosena R. X. Du

most cited(k,m)-Catalan Numbers and Hook Length Polynomials for Plane Trees

8 citations · 9 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2005★ 1 cited

Crossings and Nestings of Matchings and Partitions

William Y. C. Chen, Eva Y. P. Deng, Rosena R. X. Du +2

We present results on the enumeration of crossings and nestings for matchings and set partitions. Using a bijection between partitions and vacillating tableaux, we show that if we…

math.CO2005★ 8 cited

(k,m)-Catalan Numbers and Hook Length Polynomials for Plane Trees

Rosena R. X. Du, Fu Liu

Motivated by a formula of A. Postnikov relating binary trees, we define the hook length polynomials for m-ary trees and plane forests, and show that these polynomials have a simple…

math.CO2004

Reduction of $m$ -Regular Noncrossing Partitions

William Y. C. Chen, Eva Y. P. Deng, Rosena R. X. Du

In this paper, we present a reduction algorithm which transforms $m$ -regular partitions of $[n] = {1, 2, ..., n}$ to $(m - 1)$ -regular partitions of $[n - 1]$ . We show that this algori…

Crossings and Nestings of Matchings and Partitions

(k,m)-Catalan Numbers and Hook Length Polynomials for Plane Trees

Reduction of m-Regular Noncrossing Partitions

Reduction of $m$ -Regular Noncrossing Partitions