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Graph Theory Notes written by Dr. Anilkumar V , University of Calicut
. This is an other great mathematics book cover the following topics.

1. Graphs and Subgraphs 1.1 Introduction
1.2 What is a graph ?
1.3 Representation of a graph
1.4 Exercise
1.5 Degrees
1.6 Solved Problems
1.7 Exercise
1.8 Subgraphs
1.9 Exercise
1.10 Isomorphism
1.11 Exercise
1.12 Ramsey Numbers
1.13 Exercise
1.14 Indepedent Sets and Coverings
1.15 Exercise
1.16 Intersection graphs and line graphs
1.17 Exercise
1.18 Operations on graphs
1.19 Exercise
1.20 Walks, Trails and Paths
1.21 Connectness and components
1.22 Exercise
1.23 Blocks
1.24 Exercise
1.25 Connectivity
1.26 Solved Problems
1.27 Exercise

2. Eulerian graphs, Hamiltonian graphs and Trees 2.1 Eulerian graphs
2.1.1 Exercise
2.2 Hamiltonian Graphs
2.3 Trees
2.3.1 Characterization of Trees
2.3.2 Centre of a Tree
2.3.3 Exercise

3. Matchings and Planarity 3.1 Matchings
3.2 Worked Problems
3.3 Exercise
3.4 Matchings in Bipartite Graphs
3.4.1 Personnel Assignment Problem
3.4.2 The marriage Problem
3.5 Exercise
3.6 Planarity
3.6.1 Characterization of Planar Graphs

4. Colourability 4.1 Chromatic Number and Chromatic Index
4.2 The Five Colour Theorem
4.3 Chromatic Polynomials
4.4 Exercises
4.5 Directed graphs
4.6 Path and Connectedness
4.7 Exercise