convergence of graphs

Convergence of graphs refers to the idea that as a sequence of increasingly large and complex graphs is studied, their overall structure begins to resemble a specific limiting object. This concept helps us understand patterns and properties that emerge in large networks, like social or transport systems, by analyzing their behavior as they grow. Think of it as observing how different pieces of an increasingly detailed puzzle start to form a consistent picture, revealing the underlying structure that persists despite their complexity.