Corpus ID: 237357329

$F$- and $H$-Triangles for $\nu$-Associahedra

  title={\$F\$- and \$H\$-Triangles for \$\nu\$-Associahedra},
  author={Cesar Ceballos and Henri Muhle},
For any northeast path ν, we define two bivariate polynomials associated with the ν-associahedron: the Fand 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 Fand H-triangles of F. Chapoton in type A. Our proof is completely new and has the advantage of providing a combinatorial explanation of the relation between the Fand H-triangle. 


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