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. A graph consists of a set of vertices (or nodes) connected by edges (or arcs), which represent the relationships between the vertices. Graph theory explores various properties and characteristics of graphs, including connectivity, paths, cycles, and more complex structures. It has applications in a wide range of fields, such as computer science, operations research, social network analysis, and biology.