• Cycle decompositions and t-perfect graphs 

      Fuchs, Elke Monika (Universität Ulm, 2017-10-18)
      The thesis is divided into two parts. The first part deals with t-perfect graphs. A graph is called t-perfect if its stable set polytope is fully described by non-negativity, edge and odd-cycle constraints. We give ...
    • Domination and forcing 

      Gentner, Michael (Universität Ulm, 2018-02-07)
      This thesis comprises the results of five research papers on domination and zero forcing. In "Largest Domination Number and Smallest Independence Number of Forests with given Degree Sequence" (Gentner, Henning, Rautenbach, ...
    • Erdős-Pósa properties 

      Heinlein, Matthias (Universität Ulm, 2019-02-05)
      In dieser Dissertation wird die Erdős-Pósa Eigenschaft verschiedener Klassen von Graphen untersucht. Inbesondere wird auf die Kantenversion der Eigenschaft eingegangen und diese für lange Kreise und K_4-Unterteilungen ...
    • Exponential domination, exponential independence, and the clustering coefficient 

      Jäger, Simon (Universität Ulm, 2017-11-22)
      This dissertation contains four research papers. The first two papers are about exponential domination in graphs, which is a variant of domination in graphs. In the first paper, we show results about the corresponding ...
    • On problems related to graph colouring 

      Gellert, Laura Kristin (Universität Ulm, 2017-11-24)
      In this thesis we study various problems from the prominent area of graph colourings. We provide a characterisation of t-perfect triangulations and quadrangulations of the projective plane. For the latter class, a novel ...