On Singletons and Adjacencies of Set Partitions of Type B

Details On Singletons and Adjacencies of Set Partitions of Type B On Singletons and Adjacencies of Set Partitions of Type B

2009-10-22

arxiv.org/abs/0910.4212v1

Mathematics

Combinatorics

8 pages

Scientific paper

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 analogy with the result of Callan for ordinary
partitions.

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