Geometric realization of the -vectors of 2-truncated cubes
Geometric realization of the -vectors of 2-truncated cubes
复制标题
2-截断立方体的 - 向量的几何实现
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
V. Volodin
中科院分区：
文献类型：
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作者：
V. Volodin
本文继续研究称为 2 截断立方体的标志简单多胞体类。它是短笔记 Volodin (2012) 的扩展版本。 2 截断立方体是通过截断余维 2 面的顺序从立方体获得的多面体。构造了唯一定义的函数，将任何 2 截断立方体映射到标志单纯复形，其中 $f$-向量等于多面体的 $gamma$-向量。作为推论，我们得到 2 截断立方体的 $gamma$-向量满足 Frankl-Furedi-Kalai 不等式。
This paper continues investigation of the class of flag simple polytopes called 2-truncated cubes. It is an extended version of the short note Volodin (2012). A 2-truncated cube is a polytope obtained from a cube by sequence of truncations of codimension 2 faces. Constructed uniquely defined function which maps any 2-truncated cube to a flag simplicial complex with $f$-vector equal to $gamma$-vector of the polytope. As a corollary we obtain that $gamma$-vectors of 2-truncated cubes satisfy Frankl-Furedi-Kalai inequalities.