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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