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- W264549504 abstract "Let k, n, and r be positive integers with k < n and $${r leq lfloor frac{n}{k} rfloor}$$ . We determine the facets of the r-stable n, k-hypersimplex. As a result, it turns out that the r-stable n, k-hypersimplex has exactly 2n facets for every $${r < lfloor frac{n}{k} rfloor}$$ . We then utilize the equations of the facets to study when the r-stable hypersimplex is Gorenstein. For every k > 0 we identify an infinite collection of Gorenstein r-stable hypersimplices, consequently expanding the collection of r-stable hypersimplices known to have unimodal Ehrhart $${delta}$$ -vectors." @default.
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- W264549504 date "2016-07-30" @default.
- W264549504 modified "2023-10-05" @default.
- W264549504 title "Facets of the r-Stable (n, k)-Hypersimplex" @default.
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- W264549504 doi "https://doi.org/10.1007/s00026-016-0325-x" @default.
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