The $P$-Associahedron $f$-Vector Is a Comparability Invariant
For any finite, connected poset $P$, we show that the $f$-vector of Galashin's $P$-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.
Authors
- Andrew Sack (ORCID: https://orcid.org/0009-0000-8858-5602)
- Son Nguyen (ORCID: https://orcid.org/0000-0003-3850-4020)
Institutions
- University of Michigan (US)
- Massachusetts Institute of Technology (US)
Publication Details
- Journal
- The Electronic Journal of Combinatorics
- Published
- 2025-10-03
- DOI
- https://doi.org/10.37236/13422
- Primary Topic
- Advanced Numerical Analysis Techniques
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation