A sefl-dual poset on objects counted by the Catalan numbers

Details A sefl-dual poset on objects counted by the Catalan numbers A sefl-dual poset on objects counted by the Catalan numbers

1998-11-10

arxiv.org/abs/math/9811067v1

Mathematics

Combinatorics

6 pages, 1 Figure

Scientific paper

We examine the poset $P$ of 132-avoiding $n$-permutations ordered by descents. We show that this poset is the "coarsening" of the well-studied poset $Q$ of noncrossing partitions . In other words, if $x

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