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 ...

Graphs are everywhere. The neurons in your brain form a graph, with synapses as edges. Social networks, protein interactions, ...

Graph processes and random structures form a vibrant subfield of graph theory concerned with the probabilistic evolution of networks and the emergence of complex connectivity patterns. At its core ...

Amazon Web Services (AWS) has detailed a new cloud networking architecture based on random graph theory that it says is now the default fabric for its general-purpose cloud infrastructure worldwide.

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 ...

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 ...

Most of us have seen the bell curve, which depicts a standard statistical distribution for many phenomena, such as a population’s average weight. People tend to cluster around the median of such ...