Minimally Intersecting Set Partitions of Type B

Details Minimally Intersecting Set Partitions of Type B Minimally Intersecting Set Partitions of Type B

2009-10-06

arxiv.org/abs/0910.0905v1

Mathematics

Combinatorics

16 pages

Scientific paper

Motivated by Pittel's study of minimally intersecting set partitions, we investigate minimally intersecting set partitions of type B. We find a formula for the number of minimally intersecting r-tuples of $B_n$-partitions, as well as a formula for the number of minimally intersecting r-tuples of $B_n$-partitions without zero-block. As a consequence, it follows the formula of Benoumhani for the Dowling number in analogy to Dobinski's formula.

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