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arXiv:1901.07443 [math.CO]AbstractReferencesReviewsResources

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

Jane Ivy Coons, Seth Sullivant

Published 2019-01-22Version 1

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.

Comments: 16 pages, 2 figures
Categories: math.CO, math.AC
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