期刊
PHYSICAL REVIEW E
卷 83, 期 5, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.83.056107
关键词
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资金
- Science Foundation Ireland [06/IN.1/I366]
- MACSI [06/MI/005]
- Science Foundation Ireland (SFI) [06/IN.1/I366] Funding Source: Science Foundation Ireland (SFI)
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.
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