The poset associahedron $f$-vector is a comparability invariant

Son Nguyen; Andrew Sack

The poset associahedron $f$-vector is a comparability invariant

Combinatorics 2023-10-03 v1

Authors: Son Nguyen , Andrew Sack

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.

Keywords

poset associahedron f-vector comparability graph permutohedron polytope

Cite

@article{arxiv.2310.00157,
  title  = {The poset associahedron $f$-vector is a comparability invariant},
  author = {Son Nguyen and Andrew Sack},
  journal= {arXiv preprint arXiv:2310.00157},
  year   = {2023}
}

Comments

9 pages, 6 figures

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