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Séminaire Lotharingien de Combinatoire, 85B.44 (2021), 12 pp.

# Cesar Ceballos and Henri Mühle

# F- and H-Triangles for ν-Associahedra

**Abstract.**
For any northeast path ν, we define two bivariate polynomials associated with the ν-associahedron: the *F*- and the *H*-triangle. We prove combinatorially that we can obtain one from the other by an invertible transformation of variables. These polynomials generalize the classical *F*- and *H*-triangles of F. Chapoton in type *A*. Our proof is completely new and has the advantage of providing a combinatorial explanation of the nature of the relation between the *F*- and *H*-triangle.

Received: December 1, 2020.
Accepted: March 1, 2021.
Final version: April 29, 2021.

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