On Singletons and Adjacencies of Set Partitions of Type B
classification
🧮 math.CO
keywords
partitionsnumberpairstypeadjacenciesadjacencyanalogycallan
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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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