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arxiv: math/0510380 · v1 · submitted 2005-10-18 · 🧮 math.AT · math.CO

Parking functions and triangulation of the associahedron

classification 🧮 math.AT math.CO
keywords functionsparkingassociahedrontriangulationbijectionconstructdimensioninterpretation
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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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