Abstract
Conditions are given on a lattice polytope $P$ of dimension $m$ or its associated affine semigroup ring which imply inequalities for the $h^*$-vector $(h^*_0, h^*_1,\dots,h^*_m)$ of $P$ of the form $h^*_i \ge h^*_{d-i}$ for $1 \le i \le \lfloor d / 2 \rfloor$ and $h^*_{\lfloor d / 2 \rfloor} \ge h^*_{\lfloor d / 2 \rfloor + 1} \ge \cdots \ge h^*_d$, where $h^*_i = 0$ for $d < i \le m$. Two applications to order polytopes of posets and stable polytopes of perfect graphs are included.
Publisher
The Electronic Journal of Combinatorics
Subject
Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics
Cited by
22 articles.
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