A self-dual poset on objects counted by the Catalan numbers and a type-B analogue

Miklós Bóna, Rodica Simion

We introduce two partially ordered sets, $P_n^A$ and $P_n^B$, of the same cardinalities as the type-A and type-B noncrossing partition lattices. The ground sets of $P_n^A$ and $P^B…