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

2010/05/31 by Oh, SuHo · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1005.5586

Abstract

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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• Cycle systems, coparking functions, and h-vectors of matroids

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