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

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.

12 pages, 3 figures v3. Completely Re-written. Submitted to Electronic Journal of Combinatorics

References in corpus (2)

• Permutohedra, associahedra, and beyond
• On the shape of a pure O-sequence

Cited by in corpus (1)

• On the structure of the h-vector of a paving matroid