Generalized permutohedra, h-vector of cotransversal matroids and pure O-sequences

Details Generalized permutohedra, h-vector of cotransversal matroids and pure O-sequences Generalized permutohedra, h-vector of cotransversal matroids and pure O-sequences

2010-05-31

arxiv.org/abs/1005.5586v2

Mathematics

Combinatorics

16 pages, 4 figures v2. Various typos fixed, a technical error in Proposition 4.5 is fixed. An extended abstract will be submi

Scientific paper

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.

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