Geodesic
Minimally intersecting set partitions of type B
The electronic journal of combinatorics, Tome 17 (2010)

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Zbl arXiv EuDML
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 Dobiński's formula.
DOI : 10.37236/294
Classification : 05A18, 05A15, 05D05
Mots-clés : minimally intersecting set partitions, Dowling number, Dobinski's formula 
William Y.C. Chen; David G.L. Wang. Minimally intersecting set partitions of type B. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/294
@article{10_37236_294,
     author = {William Y.C. Chen and David G.L. Wang},
     title = {Minimally intersecting set partitions of type {B}},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/294},
     zbl = {1193.05023},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/294/}
}
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