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Introduction to Network Theory and Graph Theory
Fundamental Concepts and Applications

By Mariana Jaramillo Acero

Network Theory

1. What is a network?

2. Types of networks (e.g., social, computer, transportation).

3. Importance of network analysis.

1. What is a graph in the context of network theory?

2. Components of a graph (nodes and edges).

3. The relevance of graph theory in network analysis.

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Graph Theory: The Building Blocks of Networks

1. Node (Vertex): Definition and role.

2. Edge (Link): Definition and purpose.

3. Directed vs. Undirected graphs.

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Basic Graph Concepts

1. Degree of a node.

2. Connectivity.

3. Paths and cycles.

Network Properties