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Table of Contents
Overview
1. Basic Concepts
1.1 Definition of a Graph
1.2 Basic Terminology
1.3 Handshaking Lemma
2. Special Graphs
2.1 Bipartite Graphs
2.2 Degree Sequences
3. Eulerian and Hamiltonian Paths
3.1 Eulerian Paths and Circuits
3.2 Hamiltonian Paths and Cycles
4. Planar Graphs and Graph Coloring
4.1 Planar Graphs
4.2 Graph Coloring
5. Trees
5.1 Definition and Properties
5.2 Spanning Trees
6. Network Flow
6.1 Maximum Flow Problem
6.2 Max-Flow Min-Cut Theorem
6.3 Ford-Fulkerson Method
7. Introduction to Ramsey Theory
7.1 Basic Idea
7.2 Ramsey Numbers
8. Graph Representation and Storage
8.1 Adjacency Matrix
8.2 Adjacency List
References
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