Now showing items 1-4 of 4

  • Extensions and presentations of transversal matroids 

    Bonin, Joseph; Mier Vinué, Anna de (2015-11-02)
    Article
    Open Access
    A transversal matroid MM can be represented by a collection of sets, called a presentation of MM, whose partial transversals are the independent sets of MM. Minimal presentations are those for which removing any element ...
  • Lattice path matroids: structural properties 

    Bonin, Joseph; Mier Vinué, Anna de (2006)
    Article
    Open Access
    This paper studies structural aspects of lattice path matroids. Among the basic topics treated are direct sums, duals, minors, circuits, and connected flats. One of the main results is a characterization of lattice path ...
  • T-uniqueness of some families of k-chordal matroids 

    Bonin, Joseph; Mier Vinué, Anna de (2004)
    Article
    Open Access
    We define k-chordal matroids as a generalization of chordal matroids, and develop tools for proving that some k-chordal matroids are T-unique, that is, determined up to isomorphism by their Tutte polynomials. We apply this ...
  • Tutte polynomials of generalized parallel connections 

    Bonin, Joseph; Mier Vinué, Anna de (2004)
    Article
    Open Access
    We use weighted characteristic polynomials to compute Tutte polynomials of generalized parallel connections in the case in which the simplification of the maximal common restriction of the two constituent matroids is a ...