Geodesic
Generalized permutohedra, \(h\)-vectors of cotransversal matroids and pure \(O\)-sequences
Suho Oh1
1University of Michigan
The electronic journal of combinatorics, Tome 20 (2013) no. 3
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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 an r-dimensional convex polytope and bases of a rank r transversal matroid.
DOI : 10.37236/2769
Classification : 52B40, 05A19
Mots-clés : matroids, polytopes, \(h\)-vector, bipartite graphs

Suho Oh  1

1 University of Michigan 
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     title = {Generalized permutohedra, \(h\)-vectors of cotransversal matroids and pure {\(O\)-sequences}},
     journal = {The electronic journal of combinatorics},
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Suho Oh. Generalized permutohedra, \(h\)-vectors of cotransversal matroids and pure \(O\)-sequences. The electronic journal of combinatorics, Tome 20 (2013) no. 3. doi: 10.37236/2769

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