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

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