• Internally perfect matroids 

    Dall, Aaron Matthew (2017-06-16)
    Acceso abierto
    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 

    Dall, Aaron Matthew (Universitat Politècnica de Catalunya, 2015-02-25)
    Acceso abierto
    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 ...