Limits of sequences of graphs

Limits of sequences of graphs describe how a series of increasingly large and complex networks behave as they grow. Instead of looking at each graph individually, we analyze their overall structure and patterns in the limit, capturing their typical connectivity and arrangements. This concept helps us understand the "shape" or "essence" of large networks, much like how the average or common features emerge in a big crowd. It provides a way to study and compare different sequences of graphs by focusing on their large-scale properties rather than fine details.