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 ...

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, ...

eWeek content and product recommendations are editorially independent. We may make money when you click on links to our partners. Learn More Graph databases and models have been around for well over a ...

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, ...

We study the uniform random graph Cn with n vertices drawn from a subcriticai class of connected graphs. Our main result is that the rescaled graph On ${C_n}/\sqrt n $ converges to the Brownian ...

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 ...