18 citations · 61 across the 37 of their papers we have counts for
4 papers · 1 filter
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…
Congruences for the Number of Cubic Partitions Derived from Modular Forms
William Y. C. Chen, Bernard L. S. Lin
We obtain congruences for the number a(n) of cubic partitions using modular forms. The notion of cubic partitions is introduced by Chan and named by Kim in connection with Ramanuja…
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…