A generalised Euler-Poincar\'e formula for associahedra
Abstract
We derive a formula for the number of flip-equivalence classes of tilings of an n-gon by collections of tiles of shape dictated by an integer partition λ. The proof uses the Euler-Poincar\'e formula; and the formula itself generalises the Euler-Poincar\'e formula for associahedra.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.