The poset associahedron f-vector is a comparability invariant

Abstract

We show that the f-vector of Galashin's poset associahedron A(P) only depends on the comparability graph of P. In particular, this allows us to produce a family of polytopes with the same f-vectors as permutohedra, but that are not combinatorially equivalent to permutohedra.

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.

Discussion (0)

Sign in to join the discussion.

Loading comments…