David G. L. Wang

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3 papers · 1 filter

math.CO2009★ 2 cited

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 $B_{n}$ without zero-block, in ana…

math.CO2009

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…

math.CO2008

Partitions of $Z_{n}$ into Arithmetic Progressions

William Y. C. Chen, David G. L. Wang, Iris F. Zhang

We introduce the notion of arithmetic progression blocks or AP-blocks of $Z_{n}$ , which can be represented as sequences of the form $(x, x + m, x + 2 m, ..., x + (i - 1) m) (mod n)$ .…

On Singletons and Adjacencies of Set Partitions of Type B

Minimally Intersecting Set Partitions of Type B

Partitions of Zn​ into Arithmetic Progressions

Partitions of $Z_{n}$ into Arithmetic Progressions