261 research outputs found
Facets of the r-stable n,k-hypersimplex
Let and be positive integers with and
. We determine the facets of the -stable
-hypersimplex. As a result, it turns out that the -stable
-hypersimplex has exactly facets for every
. We then utilize the equations of the facets to
study when the -stable hypersimplex is Gorenstein. For every we
identify an infinite collection of Gorenstein -stable hypersimplices,
consequently expanding the collection of -stable hypersimplices known to
have unimodal Ehrhart -vectors.Comment: 12 pages, 2 figure
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