Browsing Department of Mathematics by Title

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Browsing Department of Mathematics by Title

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  • Raubenheimer, Fredrika Susanna (2012-05-23)
    Within the field of Graph Theory the many ways in which graphs can be coloured have received a lot of attention over the years. T.R. Jensen and B. Toft provided a summary in [8] of the most important results and research ...
  • Wright, Warren Peter (2004)
    General Relativity, as defined by Einstein's equations, defines the geometry of the universe. In Numerical Relativity, Einstein's equations are solved with the aid of numerical methods and computers. This dissertation ...
  • Ungerer, Elna (1996)
    In Chapter 1 we will give a brief historical account of domination theory and define the necessary concepts which we use in the remainder of the thesis. In Chapter 2 we establish a lower bound for the minus k-subdomination ...
  • Ras, Charl John (2003)
    In this thesis we study some of the propertie of a clas called automatic structures. Automatic structures are structures that can be encoded (in some defined way) into a set of regular languages. This encoding allows one ...
  • Van Wyk, Michael Antonie (1996-06)
    The work presented in this dissertation is concerned with the application of Chaos Theory to the field of Electrical and Electronic Engineering. A comprehensive study on electrical and electronic systems which exhibit ...
  • Euler, Norbert (1991)
    In this thesis aspects of continuous symmetries of differential equations are studied. In particular the following aspects are studied in detail: Lie algebras, the Lie derivative, the jet bundle formalism for differential ...
  • Hoffman, Lance Douglas
    Some important ideas froni classical control theory are introduced with the intention of applying them to chaotic dynamical systems, in particular the coupled logistic equations. The structure of this dissertation is such ...
  • Ndipingwi, Christopher Mbuh (2008)
    One of the earliest results (1955) in the theory of derivations is the celebrated theorem of I. M. Singer and J. Wermer [14] which asserts that every bounded derivation on a commutative Banach algebra has range contained ...
  • Cronje, Rika (1993)
    Please refer to full text to view abstract
  • Dorfling, Samantha (1998-11)
    Let G be a graph and D a set of vertices such that every vertex in G is in D or adjacent to at least one vertex in D. Then D is called a dominating set of G and the smallest cardinality of such a dominating set of G is ...
  • Southey, Justin Gilfillan (2012-05-23)
    Domination in graphs is now well studied in graph theory and the literature on this subject has been surveyed and detailed in the two books by Haynes, Hedetniemi, and Slater [45, 46]. In this thesis, we continue the study ...
  • Dorfling, Michael Jacobus (2001)
    The aim of this thesis is to investigate the topic of edge-colourings of graphs in the context of hereditary graph properties. We particularly aim to investigate analogues of reducibility, unique factorization and some ...
  • Musekiwa, Alfred. (2005-11)
    In this study we consider the problem ofestiniating the slope in the simple linear errors-in-variables model. There are two different types of relationship that can he specified in the errors-in-variables model: one that ...
  • Marcon, Alister Justin (2012)
    In Chapter 1, we consider the relevant theory pertaining to graphs and digraphs that will be used in the study of flows in networks. Warshall’s algorithm for reachability is also considered since it will allow us to ...
  • Dorfling, Michael Jacobus (1999-02)
    The aim of the thesis is to develop game-theoretic techniques for dealing with common problems in model theory, mainly that of showing logical equivalence between structures, and to illustrate the effectiveness of the ...
  • Dorfling, Samantha (2001)
    In this thesis we investigate generalized chromatic numbers in the context of hereditary graph properties. We also investigate the general topic of invariants of graphs as well as graph properties. In Chapter 1 we give ...
  • Anderson, Keegan Doig (2011-11)
    Important ideas from dynamical systems theory and the restricted three-body problem are introduced. The intention is the application of dynamical systems theory techniques to the restricted three-body problem to better ...

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