Browsing by Subject "Graph Theory"
Now showing items 15 of 5

A Brief Exploration of Total Colouring
A total colouring of a graph is an assignment of colours to the edges and vertices such that adjacent objects receive different colours. In this thesis, we prove partial results towards the Total Colouring Conjecture which ... 
Burning a Graph as a Model for the Spread of Social Contagion
The spread of social contagion is an active area in social network analysis. Assume that we want to spread a message among all the users of a network. Knowing the structure of the network, we may ask how fast can we do ... 
DOMINATION POLYNOMIALS: A BRIEF SURVEY AND ANALYSIS
A dominating set S of a graph G of order n is a subset of the vertices of G such that every vertex is either in S or adjacent to a vertex of S. The domination polynomial of G, denoted D(G, x), is the generating polynomial ... 
On the Neighbourhood Polynomial
The neighbourhood polynomial of a graph is the generating function for the neighbourhood complex, which contains all subsets of vertices which have a common neighbour. We begin with some formulas for computing the neighbourhood ... 
SAFE GAME OF COMPETITIVE DIFFUSION
(20140403)Competitive Diffusion is a recently introduced gametheoretic model for the spread of information through social networks. The model is a game on a graph with external players trying to reach the most vertices. In this ...