Random graph theory provides a probabilistic framework for modelling and analysing networks in which connections between entities are assigned according to specified random processes. From its origins ...

With help from AWS principal applied scientist Giacomo Bernardi and other colleagues, AWS has become the first company to ...

AWS disclosed that Resilient Network Graphs, a flat network architecture based on quasi-random graph theory, is now the ...

The tech giant says a breakthrough in data center networking has dramatically accelerated the flow of information through its massive cloud infrastructure.

Exponential random graph models (ERGMs) have emerged as a principal statistical framework for representing and analysing the formation of ties within social networks. By expressing the probability of ...

AWS has revealed RNG, a new random-graph-based data center network that delivers 33% higher throughput, cuts network power ...

This lecture course is devoted to the study of random geometrical objects and structures. Among the most prominent models are random polytopes, random tessellations, particle processes and random ...

When the mathematicians Jeff Kahn and Gil Kalai first posed their “expectation threshold” conjecture in 2006, they didn’t believe it themselves. Their claim — a broad assertion about mathematical ...

As mathematical abstractions go, graphs are among the simplest. Scatter a bunch of points in a plane. Connect some of them with lines. That’s all a graph is. And yet they are incredibly powerful. They ...