Now showing items 1-3 of 3

    • New production matrices for geometric graphs 

      Esteban Pascual, Guillermo; Huemer, Clemens; Silveira, Rodrigo Ignacio (Elsevier, 2022-01-15)
      Article
      Restricted access - publisher's policy
      We use production matrices to count several classes of geometric graphs. We present novel production matrices for non-crossing partitions, connected geometric graphs, and k-angulations, which provide another, simple and ...
    • New results on production matrices for geometric graphs 

      Esteban Pascual, Guillermo; Huemer, Clemens; Silveira, Rodrigo Ignacio (2018-07-01)
      Article
      Open Access
      We present novel production matrices for non-crossing partitions, connected geometric graphs, and k-angulations, which provide another way of counting the number of such objects. For instance, a formula for the number of ...
    • Production matrices and enumeration of geometric graphs 

      Esteban Pascual, Guillermo (Universitat Politècnica de Catalunya, 2018-07)
      Master thesis
      Open Access
      We propose the study of counting problems for geometric graphs defined on point sets in convex position. Many formulae are known, for instance the numbers of triangulations are given by the Catalan numbers. Our approach ...