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• #### Internally perfect matroids ﻿

(2017-06-16)
Article
Open Access
In 1977 Stanley proved that the $h$-vector of a matroid is an $\mathcal{O}$-sequence and conjectured that it is a pure $\mathcal{O}$-sequence. In the subsequent years the validity of this conjecture has been shown for a ...
• #### Matroids : h-vectors, zonotopes, and Lawrence polytopes ﻿

(Universitat Politècnica de Catalunya, 2015-02-25)
Doctoral thesis
Open Access
The main objects of study in this thesis are matroids. In particular we are interested in three particular classes matroids: regular matroids, arithmetic matroids, and internally perfect matroids. Of these families, regular ...