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Graph Theory for Graph Neural Networks

Graph theory is a fundamental branch of mathematics that deals with the study of graphs and networks. A graph is a visual representation of complex data structures that helps us understand the relationships between different entities. Graph theory provides us with tools to model and analyze a vast array of real-world problems, such as transportation systems, social networks, and internet connectivity.

In this chapter, we will delve into the essentials of graph theory, covering three main topics: graph properties, graph concepts, and graph algorithms. We will begin by defining graphs and their components. We will then introduce the different types of graphs and explain their properties and applications. ...

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