• Bounds on the coefficients of tension and flow polynomials 

    Breuer, Felix; Dall, Aaron Matthew (2011-05)
    Accés restringit per política de l'editorial
    The goal of this article is to obtain bounds on the coefficients of modular and integral flow and tension polynomials of graphs. To this end we use the fact that these polynomials can be realized as Ehrhart polynomials of ...
  • Internally perfect matroids 

    Dall, Aaron Matthew (2017-06-16)
    Accés obert
    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)
    Accés obert
    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 ...