Minimally Intersecting Set Partitions of Type B
William Y.C. Chen and David G.L. Wang
Abstract: Motivated by Pittel's study of minimally intersecting set partitions, we investi- gate minimally intersecting set partitions of type B. Our main result is a formula for the number of minimally intersecting r-tuples of Bn-partitions. As a consequence, it implies the formula of Benoumhani for the Dowling number in analogy to Dobiński's formula.
AMS Classification: 05A15, 05A18
Keywords: minimally intersecting Bn-partitions, Dobiński's formula, the Dowling number