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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.
Cited literature [11 references]
https://hal.inria.fr/hal-01215056
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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
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
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