The Erdős–Rényi Model

The Erdős–Rényi model is a way to understand how networks, like social connections or web links, can be formed. In this model, you start with a set of nodes (like people) and randomly connect pairs of them with edges (like relationships). The model helps explain how properties such as connectedness or the presence of clusters emerge in networks as they grow. It shows that even simple random processes can create complex structures and helps researchers analyze the robustness and behavior of real-world networks in various fields, including sociology, biology, and computer science.