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Parking functions and triangulation of the associahedron

Jean-Louis Loday
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Abstract

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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Jean-Louis Loday. 2005-10-18. Parking functions and triangulation of the associahedron. https://arxiv.org/abs/math/0510380

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