Generalized Permutohedra, h-Vectors of Cotransversal Matroids and Pure O-Sequences

  • Suho Oh
  • Published 2013 in Electr. J. Comb.

Abstract

Stanley has conjectured that the h-vector of a matroid complex is a pure Osequence. We will prove this for cotransversal matroids by using generalized permutohedra. We construct a bijection between lattice points inside an r-dimensional convex polytope and bases of a rank r transversal matroid. 

Topics

2 Figures and Tables

Cite this paper

@article{Oh2013GeneralizedPH, title={Generalized Permutohedra, h-Vectors of Cotransversal Matroids and Pure O-Sequences}, author={Suho Oh}, journal={Electr. J. Comb.}, year={2013}, volume={20}, pages={P14} }