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

Jane Ivy Coons and Seth Sullivant

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Submission date: 23. Jan. 2019
Pages: 18
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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.