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, ...

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 ...

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, ...

Consider a family of random ordered graph trees (T n ) n≥1 , where T n has n vertices. It has previously been established that if the associated search-depth processes converge to the normalised ...

The Post's Matea Gold has been sussing out the implications of a change to campaign finance law, dropped into the very end of a very long spending bill set to be approved this week on Capitol Hill.