The -polynomial of the order polytope of the zig-zag poset
arXiv:1901.07443
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.
18 pages, 2 figures