# Generalized permutohedra, h-vectors of cotransversal matroids and pure O-sequences (extended abstract)

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 :
Document type :
Conference papers
Domain :

Cited literature [11 references]

https://hal.inria.fr/hal-01215056
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Tuesday, October 13, 2015 - 3:05:48 PM
Last modification on : Wednesday, June 26, 2019 - 2:48:03 PM
Long-term archiving on: : Thursday, April 27, 2017 - 12:09:32 AM

### File

dmAO0162.pdf
Publisher files allowed on an open archive

### Citation

Suho Oh. Generalized permutohedra, h-vectors of cotransversal matroids and pure O-sequences (extended abstract). 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.705-716, ⟨10.46298/dmtcs.2946⟩. ⟨hal-01215056⟩

Record views