Rosena R. X. Du

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20052008

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

8 citations · 11 across the 3 of their papers we have counts for

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math.CO2008

Some Hecke Algebra Products and Corresponding Random Walks

Rosena R. X. Du, Richard P. Stanley

Let $i = 1 + q + ... + q^{i - 1}$ . For certain sequences $(r_{1}, ..., r_{l})$ of positive integers, we show that in the Hecke algebra $H_{n} (q)$ of the symmetric group $\mathfrak{S}_…

math.CO2007★ 3 cited

Counting Labelled Trees with Given Indegree Sequence

Rosena R. X. Du, Jingbin Yin

For a labelled tree on the vertex set $[n] := {1, 2, ..., n}$ , define the direction of each edge $ij$ to be $i \to j$ if $i < j$ . The indegree sequence of $T$ can be considered as a par…

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…