Graph Theory Tutorial

Welcome to the tutorial on Graph Theory! Graph Theory is a branch of mathematics that deals with the study of graphs, which are mathematical structures used to model pairwise relations between objects. The objects are represented by vertices, and the relations are represented by edges.

Basic Concepts

• Vertices: These are the individual points or nodes in a graph.
• Edges: These are the connections between vertices.
• Degree: The number of edges connected to a vertex.
• Path: A sequence of vertices connected by edges.
• Cycle: A path that starts and ends at the same vertex.

Types of Graphs

• Undirected Graph: Edges have no direction.
• Directed Graph: Edges have a direction.
• Weighted Graph: Edges have a weight or a value associated with them.

Applications

Graph Theory has a wide range of applications in various fields such as computer science, engineering, and social sciences.

• Computer Science: Used in algorithms, data structures, and network analysis.
• Engineering: Used in electrical engineering, civil engineering, and network design.
• Social Sciences: Used in social network analysis, epidemiology, and other fields.

More Information

For a deeper understanding of Graph Theory, you can explore the following resources:

• Introduction to Graph Theory
• Graph Algorithms

Graph Theory

Enjoy your learning journey in Graph Theory! 📚🎓