Random Graph Theory

Random Graph Theory studies how graphs, which are mathematical structures made of nodes (or vertices) connected by edges, behave when their connections are formed randomly. Imagine a network of friends; each person is a node, and a friendship is an edge. Random Graph Theory helps us understand properties of large networks, like their connectivity, clusters, and how easily information spreads. It has applications in various fields, such as computer science, sociology, and biology, helping to model complex systems and make predictions about their behavior based on random arrangements.