Graph limit theory provides a rigorous framework for analysing sequences of large graphs by representing them as continuous objects known as graphons – symmetric measurable functions on the unit ...

The Annals of Probability, Vol. 36, No. 1 (Jan., 2008), pp. 143-159 (17 pages) It is shown that functions defined on {0, 1,..., r - 1}ⁿ satisfying certain conditions of bounded differences that ...

We consider a random field {Xij, i, j = 1, ⋯, n} where the random variables Xij takes on values 1 or 0. The collection {Xij} can be viewed as a random graph with nodes {1, ⋯, n} by interpreting Xij = ...