Singletons and adjacencies of set partitions of type B

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 Bn without zero-block, in analogy with the result of Callan for ordinary partitions.

• Type: Journal
• Year: 2011
• Where: DM
• Authors: William Y. C. Chen, David G. L. Wang
• Keywords: Adjacency Pairs, DM 2011, Education, Ordinary Partitions, Singleton Pairs