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The poset associahedron f-vector is a comparability invariant

2023/09/29 by Nguyen, Son, Sack, Andrew
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2310.00157

Abstract

We show that the f-vector of Galashin's poset associahedron \mathscr 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.

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