Facets of the r-stable n,k-hypersimplex

2014/08/25 by Takayuki Hibi, Liam Solus, Hibi, Takayuki +1
Mathematics · #Advanced Combinatorial Mathematics #Graph theory and applications #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.1408.5932

Abstract

Let k, n and r be positive integers with k < n and r≤\lfloor(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 r0 we identify an infinite collection of Gorenstein r-stable hypersimplices, consequently expanding the collection of r-stable hypersimplices known to have unimodal Ehrhart δ-vectors.

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