A DECOMPOSITION PROPERTY FOR SIMPLICIAL COMPLEXES AND ITS RELATION TO DIAMETERS AND SHELLINGS
A DECOMPOSITION PROPERTY FOR SIMPLICIAL COMPLEXES AND ITS RELATION TO DIAMETERS AND SHELLINGS
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单纯复形体的分解性质及其与直径和壳层的关系
DOI：
10.1111/j.1749-6632.1979.tb32776.x
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发表时间：
1979
期刊：
影响因子：
--
通讯作者：
J. Provan
中科院分区：
文献类型：
--
作者：
L. Billera;J. Provan
本文概述了单纯形配合物的顶点可分解性的概念及其与壳和直径问题的关系。证明了循环多面体的边界配合物是顶点可分解的。因此，我们可以直接得出已知的结果，即这种配合物是可壳化的[11]，并满足Hirsch猜想[3]。
This note outlines the concept of vertex decomposability of simplical complexes and its relationship to questions concerning shellings and diameters. We show that the boundary complexes of the cyclic polytopes are vertex decomposable. As a consequence, we can conclude directly the known results that such complexes are shellable [11 and satisfy the Hirsch conjecture [3].