arXiv:0910.4212 [math.CO]AbstractReferencesReviewsResources
On Singletons and Adjacencies of Set Partitions of Type B
William Y. C. Chen, David G. L. Wang
Published 2009-10-22Version 1
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.
Comments: 8 pages
Categories: math.CO
Related articles: Most relevant | Search more
arXiv:0710.1816 [math.CO] (Published 2007-10-09)
Crossings and Nestings of Two Edges in Set Partitions
arXiv:2408.05377 [math.CO] (Published 2024-08-09)
More results on stack-sorting for set partitions
arXiv:1109.0417 [math.CO] (Published 2011-09-02)
An Analogue of Hilton-Milner Theorem for Set Partitions