F-and H-triangles for ν-associahedra
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
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
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | #3 |
| Fachzeitschrift | Combinatorial theory : CT |
| Jahrgang | 2 |
| Ausgabenummer | 2 |
| Publikationsstatus | Veröffentlicht - 2022 |
| Peer-Review-Status | Ja |
Schlagworte
ASJC Scopus Sachgebiete
Schlagwörter
- F-triangle, H-triangle, ν-associahedron, ν-Tamari lattice