Balanced Vertex Decomposable Simplicial Complexes and their h-vectors

[摘要] Given any finite simplicial complex $\Delta$, we show how to construct from a colouring $\chi$ of $\Delta$ a new simplicial complex $\Delta_{\chi}$ that is balanced and vertex decomposable. In addition, the $h$-vector of $\Delta_{\chi}$ is precisely the $

[学科分类] 离散数学和组合数学

[关键词] Simplicial complex;Vertex decomposable;Flag complex;h-vector