2 papers
math.CO1999
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, and , of the same cardinalities as the type-A and type-B noncrossing partition lattices. The ground sets of and $P^B…
math.CO1998
Flag-symmetry of the poset of shuffles and a local action of the symmetric group
Rodica Simion, Richard P. Stanley
We show that the poset of shuffles introduced by Greene in 1988 is flag-symmetric, and we describe a "local" permutation action of the symmetric group on the maximal chains which i…