Graph convergence

Graph convergence describes how a sequence of graphs becomes increasingly similar as it progresses. Imagine watching a series of networks—like social connections or roads—and observing their evolving patterns. As the sequence converges, these graphs settle into a stable structure, meaning their overall shape and properties don't change significantly with further steps. This concept helps mathematicians and computer scientists analyze large or complex networks by understanding their limiting behavior, making it easier to study their long-term properties and predict future patterns.