Now showing items 1-3 of 3

  • Critical sets of full Latin squares

    Raass, Petelo Vaipuna (University of Waikato, 2016)
    This thesis explores the properties of critical sets of the full n-Latin square and related combinatorial structures including full designs, (m,n,2)-balanced Latin rectangles and n-Latin cubes. In Chapter 3 we study ...
  • Star Decompositions of Bipartite Graphs

    Lim, Jin Sean (University of Waikato, 2015)
    In Chapter 1, we will introduce the definitions and the notations used throughout this thesis. We will also survey some prior research pertaining to graph decompositions, with special emphasis on star-decompositions and ...
  • The number of (0,1) - Matrices with fixed row and column sums

    Pule, Solomone Tahamano (University of Waikato, 2013)
    Let R and S be non-negative and non-increasing vectors of order m and n respectively. We consider the set A(R, S) of all m x n matrices with entries restricted to {0, 1}. We give an alternative proof of the Gale-Ryser ...