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 ...

Rainbow connectivity examines how to assign colours to the edges of a graph so that every pair of vertices is joined by at least one “rainbow path”—a path in which no two edges share the same colour.

From powering search engines to securing data and optimizing networks, algorithms underpin nearly every aspect of modern technology. Understanding how efficiently they can solve problems — and where ...