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Cascades on a class of clustered random networks

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posted on 2022-08-24, 14:16 authored by Adam W. Hackett, Sergey Melnik, James GleesonJames Gleeson
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. Applications, examples of which are provided, include site percolation, bond percolation, and Watts' threshold model; in all cases analytical results give excellent agreement with numerical simulations.

History

Publication

Physical Review E;83, 056107

Publisher

American Physical Society

Note

peer-reviewed

Other Funding information

SFI

Language

English

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