Generalized permutohedra, h-vector of cotransversal matroids and pure O-sequences
Combinatorics
2012-10-04 v3
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.
Keywords
Cite
@article{arxiv.1005.5586,
title = {Generalized permutohedra, h-vector of cotransversal matroids and pure O-sequences},
author = {SuHo Oh},
journal= {arXiv preprint arXiv:1005.5586},
year = {2012}
}
Comments
12 pages, 3 figures v3. Completely Re-written. Submitted to Electronic Journal of Combinatorics