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

Published 22 Jan 2019 in math.CO and math.AC | (1901.07443v2)

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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