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, ...

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 ...

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 ...

We prove that any distributional limit of finite planar graphs in which the degree of the root has an exponential tail is almost surely recurrent. As a corollary, we obtain that the uniform infinite ...

Graph neural networks (GNNs) have achieved tremendous success on multiple graph-based learning tasks by fusing network structure and node features. Modern GNN models are built upon iterative ...