English

A generalised Euler-Poincar\'e formula for associahedra

Combinatorics 2017-11-15 v1

Abstract

We derive a formula for the number of flip-equivalence classes of tilings of an nn-gon by collections of tiles of shape dictated by an integer partition λ\lambda. The proof uses the Euler-Poincar\'e formula; and the formula itself generalises the Euler-Poincar\'e formula for associahedra.

Keywords

Cite

@article{arxiv.1711.04986,
  title  = {A generalised Euler-Poincar\'e formula for associahedra},
  author = {Karin Baur and Paul P. Martin},
  journal= {arXiv preprint arXiv:1711.04986},
  year   = {2017}
}
R2 v1 2026-06-22T22:45:14.999Z