18 citations · 67 across the 51 of their papers we have counts for
8 papers · 2 filters
The Algorithm Z and Ramanujan's Summation
Sandy H. L. Chen, William Y. C. Chen, Amy M. Fu +1
We use the Algortihm Z on partitions due to Zeilberger, in a variant form, to give a combinatorial proof of Ramanujan's summation formula.
On Singletons and Adjacencies of Set Partitions of Type B
William Y. C. Chen, David G. L. Wang
We show that the joint distribution of the number of singleton pairs and the number of adjacency pairs is symmetric over the set partitions of type without zero-block, in ana…
Minimally Intersecting Set Partitions of Type B
William Y. C. Chen, David G. L. Wang
Motivated by Pittel's study of minimally intersecting set partitions, we investigate minimally intersecting set partitions of type B. We find a formula for the number of minimally…
On Balanced Colorings of the n-Cube
William Y. C. Chen, Larry X. W. Wang
A 2-coloring of the n-cube in the n-dimensional Euclidean space can be considered as an assignment of weights of 1 or 0 to the vertices. Such a colored n-cube is said to be balance…
Identities Derived from Noncrossing Partitions of Type B
William Y. C. Chen, Andrew Y. Z. Wang, Alina F. Y. Zhao
Based on weighted noncrossing partitions of type B, we obtain type B analogues of Coker's identities on the Narayana polynomials. A parity reversing involution is given for the alt…
A generalization of the brauer algebra
William Y. C. Chen, Christian M. Reidys
We study two variations of the Brauer algebra . The first is the algebra , which generalizes the Brauer algebra by considering loops. The second is the algebra $L_n…