Parking functions and triangulation of the associahedron

Details Parking functions and triangulation of the associahedron Parking functions and triangulation of the associahedron

2005-10-18

arxiv.org/abs/math/0510380v1

Mathematics

Algebraic Topology

15 pages

Scientific paper

We show that a minimal triangulation of the associahedron (Stasheff polytope)
of dimension n is made of (n+1)^{n-1} simplices. We construct a natural
bijection with the set of parking functions from a new interpretation of
parking functions in terms of shuffles.

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