F-and H-triangles for ν-associahedra
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
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 general-ize 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 relation between the F-and H-triangle.
Details
| Original language | English |
|---|---|
| Article number | #3 |
| Journal | Combinatorial theory : CT |
| Volume | 2 |
| Issue number | 2 |
| Publication status | Published - 2022 |
| Peer-reviewed | Yes |
Keywords
ASJC Scopus subject areas
Keywords
- F-triangle, H-triangle, ν-associahedron, ν-Tamari lattice