Minimally Intersecting Set Partitions of Type $B$

  • William Y.C. Chen
  • David G.L. Wang

Abstract

Motivated by Pittel's study of minimally intersecting set partitions, we investigate minimally intersecting set partitions of type $B$. Our main result is a formula for the number of minimally intersecting $r$-tuples of $B_n$-partitions. As a consequence, it implies the formula of Benoumhani for the Dowling number in analogy to DobiƄski's formula.

Published
2010-01-31
Article Number
R22