Abstract5.1 An Introduction to Graph Theory5.2 Varieties of Graphs5.3 Properties of Graphs5.4 Paths, Cycles and Trees5.5 Varieties of Graphs Revisited5.6 Representing Graphs5.7 Triangles, the Smallest Cycle5.8 Distances on Graphs5.9 More properties of graphs5.10 Centrality5.11 Covering5.12 Creating New Graphs from Old5.13 Conclusion