On Singletons and Adjacencies of Set Partitions of Type B
Combinatorics
2009-10-23 v1
Abstract
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 analogy with the result of Callan for ordinary partitions.
Keywords
Cite
@article{arxiv.0910.4212,
title = {On Singletons and Adjacencies of Set Partitions of Type B},
author = {William Y. C. Chen and David G. L. Wang},
journal= {arXiv preprint arXiv:0910.4212},
year = {2009}
}
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8 pages