Graph Theory

ɡræf ˈθɪəri

Graph Theory is a branch of mathematics focused on the study of graphs, which are structures made up of vertices (or nodes) connected by edges. It provides a framework for analyzing the relationships and interactions between various entities. Key characteristics include directed and undirected graphs, weighted edges, and various properties such as connectivity and cycles. Graph Theory is widely used in computer science, particularly in algorithms, network analysis, and optimization problems. Common applications include social network analysis, transportation networks, and recommendation systems.