Cascades on a class of clustered random networks

@article{Hackett2011CascadesOA,
  title={Cascades on a class of clustered random networks},
  author={Adam Hackett and Sergey Melnik and James P. Gleeson},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2011},
  volume={83 5 Pt 2},
  pages={056107}
}
We present an analytical approach to determining the expected cascade size in a broad range of dynamical models on the class of random networks with arbitrary degree distribution and nonzero clustering introduced previously in [M. E. J. Newman, Phys. Rev. Lett. 103, 058701 (2009)]. A condition for the existence of global cascades is derived as well as a general criterion that determines whether increasing the level of clustering will increase, or decrease, the expected cascade size… CONTINUE READING
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