• Random walk hitting times in random trees 

      Oosthuizen, Joubert (Stellenbosch : Stellenbosch University, 2017-12)
      ENGLISH ABSTRACT : The hitting time Hxy, between two vertices x and y of a graph, is the average time that the standard simple random walk takes to get from x to y. We start by giving a recursive formula for higher moments ...
    • Properties of graph polynomials and related parameters 

      Misanantenaina, Valisoa Razanajatovo (Stellenbosch : Stellenbosch University, 2017-12)
      ENGLISH ABSTRACT : In this thesis, we investigate various problems related to graph polynomials. We first define two-variable polynomials for rooted trees and specific posets, which are motivated by the Tutte polynomial. ...
    • Mathematical Modelling of Tumour-Immune Interactions and Cancer Therapy 

      Mahasa, Khaphetsi Joseph (Stellenbosch : Stellenbosch University, 2017-12)
      ENGLISH ABSTRACT : The immune system plays a key role against the development and progression of tumor cells mainly because of its capability of recognizing and destroying cancerous cells. While incredible research efforts ...
    • Generalised sequences and compactness notions in point-free topology 

      Masuret, Jacques (Stellenbosch : Stellenbosch University, 2017-12)
      ENGLISH ABSTRACT : While sequences and naturally associated notions like convergence and clustering have received extensive attention in classical topology, the same cannot be said for the point-free setting. The aim of ...
    • Centrality in random trees 

      Durant, Kevin (Stellenbosch : Stellenbosch University, 2017-12)
      ENGLISH ABSTRACT : We consider two notions of centrality—namely, the betweenness centrality of a node and whether or not it is a centroid—in families of simply generated and increasing trees. Both of these concepts are ...