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 ...

In this paper we investigate first passage percolation on an inhomogeneous random graph model introduced by Bollobás et al. (2007). Each vertex in the graph has a type from a type space, and edge ...

At some point in time, all users of social networking applications such as Facebook or LinkedIn have been pleasantly surprised at seeing an old school friend, or an ex-colleague from that first job, ...