Now showing items 1-3 of 3

    • Coloring Algorithms for Graphs and Hypergraphs with Forbidden Substructures 

      Li, Yanjia (University of Waterloo, 2022-04-18)
      This thesis mainly focus on complexity results of the generalized version of the $r$-Coloring Problem, the $r$-Pre-Coloring Extension Problem and the List $r$-Coloring Problem restricted to hypergraphs and ordered graphs ...
    • Cycles and coloring in graphs and digraphs 

      Hompe, Patrick (University of Waterloo, 2022-08-22)
      We show results in areas related to extremal problems in directed graphs. The first concerns a rainbow generalization of the Caccetta-H\"{a}ggkvist conjecture, made by Aharoni. The Caccetta-H\"{a}ggkvist conjecture states ...
    • On coloring digraphs with forbidden induced subgraphs 

      Carbonero, Alvaro (University of Waterloo, 2023-04-25)
      This thesis mainly focuses on the structural properties of digraphs with high dichromatic number. The dichromatic number of a digraph $D$, denoted by $\dichi(D)$, is designed to be the directed analog of the chromatic ...


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