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Graph theory is the study of graphs, which are mathematical structures used to model pairwise relationships between objects. A graph consists of vertices or nodes and edges that connect these vertices. In the context of science, mathematics, and discrete mathematics, graph theory provides a framework for analyzing complex systems and networks. It has applications in various fields such as computer science, engineering, biology, and social sciences. Graph theory can be used to study network topologies, optimize routes, and model interactions in social networks, among other things. It is a fundamental tool for understanding the structure and behavior of discrete systems.