A Lower Bound Theorem for Centrally Symmetric Simplicial Polytopes
A Lower Bound Theorem for Centrally Symmetric Simplicial Polytopes
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DOI：
10.1007/s00454-018-9978-z
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发表时间：
2017-06
影响因子：
0.8
通讯作者：
S. Klee;Eran Nevo;I. Novik;Hailun Zheng
中科院分区：
文献类型：
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作者：
S. Klee;Eran Nevo;I. Novik;Hailun Zheng
Stanley证明了对于任何中心对称的单纯多面体，我们给出了中心对称的单纯形多面体的一个特征，它满足这个不等式为等式。这给出了一个自然的推广的经典下界定理单纯多面体的设置中心对称单纯多面体。
Stanley proved that for any centrally symmetric simpliciald-polytopePwith,. We provide a characterization of centrally symmetric simpliciald-polytopes withthat satisfy this inequality as equality. This gives a natural generalization of the classical Lower Bound Theorem for simplicial polytopes to the setting of centrally symmetric simplicial polytopes.