F-and H-triangles for ν-associahedra

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

  • Cesar Ceballos - , Graz University of Technology (Author)
  • Henri Mühle - , Institute of Algebra (Author)

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 languageEnglish
Article number#3
JournalCombinatorial theory : CT
Volume2
Issue number2
Publication statusPublished - 2022
Peer-reviewedYes

Keywords

Keywords

  • F-triangle, H-triangle, ν-associahedron, ν-Tamari lattice