TY - JOUR
T1 - Cascades on correlated and modular random networks
AU - Gleeson, James P.
PY - 2008/4/28
Y1 - 2008/4/28
N2 - An analytical approach to determining the mean avalanche size in a broad class of dynamical models on random networks is introduced. Previous results on percolation transitions and epidemic sizes are shown to be special cases of the method. The time-dependence of cascades and extensions to networks with community structure or degree-degree correlations are discussed. Analytical results for the rate of spread of innovations in a modular network and for the size of k cores in networks with degree-degree correlations are confirmed with numerical simulations.
AB - An analytical approach to determining the mean avalanche size in a broad class of dynamical models on random networks is introduced. Previous results on percolation transitions and epidemic sizes are shown to be special cases of the method. The time-dependence of cascades and extensions to networks with community structure or degree-degree correlations are discussed. Analytical results for the rate of spread of innovations in a modular network and for the size of k cores in networks with degree-degree correlations are confirmed with numerical simulations.
UR - http://www.scopus.com/inward/record.url?scp=43049086711&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.77.046117
DO - 10.1103/PhysRevE.77.046117
M3 - Article
AN - SCOPUS:43049086711
SN - 1539-3755
VL - 77
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 4
M1 - 046117
ER -