Erdős–Stone theorem

The Erdős–Stone theorem is a key result in graph theory, a branch of mathematics that studies relationships represented as networks. It describes how the maximum number of edges (connections) in a graph can relate to the number of vertices (points) when certain conditions are met, specifically regarding the presence of a smaller graph within a larger one. Essentially, it helps to quantify how complex a network can be before it must contain a specific substructure. This theorem has important implications in various fields, including computer science and social network analysis.