Now showing items 1-6 of 6

    • 5-Choosability of Planar-plus-two-edge Graphs 

      Mahmoud, Amena (University of Waterloo, 2018-01-02)
      We prove that graphs that can be made planar by deleting two edges are 5-choosable. To arrive at this, first we prove an extension of a theorem of Thomassen. Second, we prove an extension of a theorem Postle and Thomas. ...
    • Jaeger’s Strong 3-Flow Conjecture for Graphs in Low Genus Surfaces 

      de Jong, Jamie (University of Waterloo, 2020-05-05)
      In 1972, Tutte posed the 3-Flow Conjecture: that all 4-edge-connected graphs have a nowhere zero 3-flow. This was extended by Jaeger et al. (1992) to allow vertices to have a prescribed, possibly non-zero difference (modulo ...
    • On Geometric Drawings of Graphs 

      Arroyo Guevara, Alan Marcelo (University of Waterloo, 2018-04-18)
      This thesis is about geometric drawings of graphs and their topological generalizations. First, we study pseudolinear drawings of graphs in the plane. A pseudolinear drawing is one in which every edge can be extended ...
    • Planar graphs without 3-cycles and with 4-cycles far apart are 3-choosable 

      Sullivan, Matthew (University of Waterloo, 2016-09-16)
      A graph G is said to be L-colourable if for a given list assignment L = {L(v)|v ∈ V (G)} there is a proper colouring c of G such that c(v) ∈ L(v) for all v in V (G). If G is L-colourable for all L with |L(v)| ≥ k for all ...
    • Simple Drawings of Kn from Rotation Systems 

      SULLIVAN, MATTHEW (University of Waterloo, 2021-10-06)
      A complete rotation system on n vertices is a collection of n cyclic permutations of the elements [n]\{i}, for i∈[n]. If D is a drawing of a labelled graph, then a rotation at vertex v is the cyclic ordering of the edges ...
    • Thomassen’s 5-Choosability Theorem Extends to Many Faces 

      Nevin, Joshua (University of Waterloo, 2021-09-10)
      We prove in this thesis that planar graphs can be L-colored, where L is a list-assignment in which every vertex has a 5-list except for a collection of arbitrarily large faces which have 3-lists, as long as those faces ...


      University of Waterloo Library
      200 University Avenue West
      Waterloo, Ontario, Canada N2L 3G1
      519 888 4883

      All items in UWSpace are protected by copyright, with all rights reserved.

      DSpace software

      Service outages