We consider a long-range percolation on a vertex set of a two-dimensional square lattice, where the probabilities that horizontally long bonds exist may be different from the probabilities that vertically long bonds exist. We give some estimates on the effective resistance in such a model. The...

We investigate the convergence rates of diffusion in bidirectional Erdös–Rényi networks. We analytically and numerically demonstrate that the asymptotic distribution is far from a bell shape. Further, we numerically verify that the dynamical networks generated by the Barabasi–Albert model,...

We study a family of interval catch digraph called proportional-edge proximity catch digraph (PCD) which is also a special type of intersection digraphs parameterized with an expansion and a centrality parameter. PCDs are random catch digraphs that have been developed recently and have...

We propose and test hypotheses about three endogenous mechanisms that may be driving the observed network structure of producers’ markets. We use data that we have collected on collaborative network ties among producers. Estimates of Exponential Random Graphs Models (ERGM) support our hypotheses.