%0 Journal Article %T Generalized permutohedra, h-vector of cotransversal matroids and pure O-sequences %A SuHo Oh %J Mathematics %D 2010 %I arXiv %X 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. %U http://arxiv.org/abs/1005.5586v3