TY - JOUR
T1 - Cascades on clique-based graphs
AU - Hackett, Adam
AU - Gleeson, James P.
PY - 2013/6/3
Y1 - 2013/6/3
N2 - We present an analytical approach to determining the expected cascade size in a broad range of dynamical models on the class of highly clustered random graphs introduced by Gleeson. A condition for the existence of global cascades is also derived. Applications of this approach include analyses of percolation, and Watts's model. We show how our techniques can be used to study the effects of in-group bias in cascades on social networks.
AB - We present an analytical approach to determining the expected cascade size in a broad range of dynamical models on the class of highly clustered random graphs introduced by Gleeson. A condition for the existence of global cascades is also derived. Applications of this approach include analyses of percolation, and Watts's model. We show how our techniques can be used to study the effects of in-group bias in cascades on social networks.
UR - http://www.scopus.com/inward/record.url?scp=84879218040&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.87.062801
DO - 10.1103/PhysRevE.87.062801
M3 - Article
C2 - 23848723
AN - SCOPUS:84879218040
SN - 1539-3755
VL - 87
SP - 062801
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 - 6
M1 - 062801
ER -