Gilbert random graph

A Gilbert random graph is a mathematical model used to study networks. Imagine you have a certain number of points (or nodes), like cities, and you want to connect them with roads (or edges). In a Gilbert random graph, you randomly decide whether to connect each pair of points with a road based on a fixed probability. This means some cities will be directly connected, while others might not be. This model helps researchers understand the properties of networks, like how they grow, their connectivity, and how they behave in different situations, important for fields like computer science and sociology.