Generalized Permutohedra, h-Vectors of Cotransversal Matroids and Pure O-Sequences
Generalized Permutohedra, h-Vectors of Cotransversal Matroids and Pure O-Sequences
复制标题
广义全面体、共横拟阵的 h 向量和纯 O 序列
DOI：
10.37236/2769
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
Suho Oh
中科院分区：
文献类型：
--
作者：
Suho Oh
Stanley 推测拟阵复形的 h 向量是纯 O 序列。我们将通过使用广义置换面体来证明共横拟阵的这一点。我们在 r 维凸多胞形内的格点和 r 阶横向拟阵的基之间构造双射。
Stanley has conjectured that the h-vector of a matroid complex is a pure O-sequence. We will prove this for cotransversal matroids by using generalized permutohedra. We construct a bijection between lattice points inside a r-dimensional convex polytope and bases of a rank r transversal matroid.