… Random Dot Product Graph (RDPG) model, a particular but very versatile case of the
inhomogeneous Bernoulli graph [… is given by the inner product between the corresponding …

… 6.3, however, we describe how to adapt our results to weighted and directed graphs. … as
random dot product graphs, we see that suitably high-dimensional random dot product graphs …

… random graph models. The motivation for these mod- els comes from social networks and is
based on the idea of common interest. We represent a social network as a graph… dot product …

… Abstract—Given a sequence of possibly correlated randomly generated graphs, we address
… consider Random Dot Product Graphs (RDPGs), a simple yet rich family of random graphs …

… We present a comprehensive extension of the latent position network model known as the
random dot product graph to accommodate multiple graphs—both undirected and directed— …

… models for random graphs that utilize the inner product as their … These models are motivated
by the random dot product graphs … , characterize the diameter of graphs generated by these …

… The extension to the directed graph setting is also of interest and may be possible, though
currently our proofs rely heavily on the symmetry and hence we do not presently investigate …

… geometry with random graph models, we explore in this paper two generalizations of the
random dot product graph model proposed by … Then we consider the random directed graph …

… of random dot product graphs on … natural directed generalization of random dot product
graphs, which first appeared in [60]. This work shows that for directed random dot product graphs …

… Generalization of the random dot product graph model to sparse and directed networks,
along with the corresponding theory, are provided in the Supplementary Material. Last, but not …