Graph Theory is a branch of mathematics that studies the properties and relationships of graphs, which are structures made up of vertices (or nodes) connected by edges. It has applications in various fields, including computer science, biology, and social sciences, helping to model and analyze networks such as social networks, transportation systems, and communication networks. In Graph Theory, concepts such as paths, cycles, and connectivity are fundamental. Researchers explore different types of graphs, such as directed and undirected graphs, to solve problems related to optimization, routing, and network design. This area of study is essential for understanding complex systems and their interactions.