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arXiv · 1901.07443

The $h^*$-polynomial of the order polytope of the zig-zag poset

Jane Ivy Coons·Seth Sullivant
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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 new combinatorial interpretation for the coefficients in the numerator of the Ehrhart series of this order polytopein terms of the swap statistic on alternating permutations.

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Jane Ivy Coons, Seth Sullivant. 2020-04-01. The $h^*$-polynomial of the order polytope of the zig-zag poset. https://arxiv.org/abs/1901.07443

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