$F$- and $H$-Triangles for $\nu$-Associahedra
Combinatorics
2023-02-07 v3
Abstract
For any northeast path , we define two bivariate polynomials associated with the -associahedron: the - and the -triangle. We prove combinatorially that we can obtain one from the other by an invertible transformation of variables. These polynomials generalize the classical - and -triangles of F.~Chapoton in type . Our proof is completely new and has the advantage of providing a combinatorial explanation of the relation between the - and -triangle.
Cite
@article{arxiv.2103.04769,
title = {$F$- and $H$-Triangles for $\nu$-Associahedra},
author = {Cesar Ceballos and Henri Mühle},
journal= {arXiv preprint arXiv:2103.04769},
year = {2023}
}
Comments
25 pages, 15 figures. Comments are very welcome