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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
10/2019

The h∗-polynomial of the order polytope of the zig-zag poset

Jane Ivy Coons and Seth Sullivant

Abstract

We describe a family of shellings for the canonical triangulation of the order polytope of the zig-zag poset. This gives a combinatorial interpretation for the coefficients in the numerator of the generating functions for OEIS A050446 in terms of the swap statistic on alternating permutations.

Received:
Jan 23, 2019
Published:
Feb 13, 2019

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Preprint
2019 Repository Open Access
Jane Ivy Coons and Seth Sullivant

The \(\mathscr h^*\)-polynomial of the order polytope of the zig-zag poset