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 ...

Since the discovery of quantum mechanics, in the early 20th century, physicists have relied on optics to test its fundamentals. Since the discovery of quantum mechanics, in the early 20th century, ...

This is a preview. Log in through your library . Abstract For integers l ≥ 1, d ≥ 0 we study (undirected) graphs with vertices 1,..., n such that the vertices can be partitioned into l parts such that ...

We consider a stochastic SIR (susceptible → infective → recovered) epidemic defined on a configuration model random graph, in which infective individuals can infect only their neighbours in the graph ...