Exact solutions for social and biological contagion models on mixed directed and undirected, degree-correlated random networks
Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, 2011•APS
We derive analytic expressions for the possibility, probability, and expected size of global
spreading events starting from a single infected seed for a broad collection of contagion
processes acting on random networks with both directed and undirected edges and arbitrary
degree-degree correlations. Our work extends previous theoretical developments for the
undirected case, and we provide numerical support for our findings by investigating an
example class of networks for which we are able to obtain closed-form expressions.
spreading events starting from a single infected seed for a broad collection of contagion
processes acting on random networks with both directed and undirected edges and arbitrary
degree-degree correlations. Our work extends previous theoretical developments for the
undirected case, and we provide numerical support for our findings by investigating an
example class of networks for which we are able to obtain closed-form expressions.
We derive analytic expressions for the possibility, probability, and expected size of global spreading events starting from a single infected seed for a broad collection of contagion processes acting on random networks with both directed and undirected edges and arbitrary degree-degree correlations. Our work extends previous theoretical developments for the undirected case, and we provide numerical support for our findings by investigating an example class of networks for which we are able to obtain closed-form expressions.
American Physical Society