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, ...

A graph database with a quadrillion nodes? Such a monstrous entity is beyond the scope of what technologist are trying to do now. But with the latest release of the Neo4j database from Neo Technology, ...

We study a broad class of stochastic process models for dynamic networks that satisfy the minimal regularity conditions of (i) exchangeability and (ii) càdlàg sample paths. Our main theorems ...

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 ...