Graphon

In graph theory and statistics, a graphon is a symmetric measurable function , that is important in the study of dense graphs. Graphons arise as the fundamental objects in two areas: as the defining objects of exchangeable random graph models and as a natural notion of limit for sequences of dense graphs. Graphons are tied to dense graphs by the following pair of observations: the random graph models defined by graphons give rise to dense graphs almost surely, and, by the regularity lemma, graphons capture the structure of arbitrary large dense graphs.