Graph Theory
Graph theory is a branch of mathematics that studies graphs, which are mathematical structures used to model pairwise relations between objects. In this context, a graph is made up of vertices (also known as nodes or points) which are connected by edges. The vertices represent objects, and the edges represent the relationships between these objects.
Areas of application
- Computer Science
- Network Analysis
- Social Networks
- Algorithms
- Data Structures
Example
For example, consider a social network of people where each person is represented by a vertex, and two people are connected by an edge if they are friends. Graph theory can be used to analyze the structure of this network, such as the number of vertices, edges, and clusters of closely connected individuals.