Cascades on a class of clustered random networks

Details Cascades on a class of clustered random networks Cascades on a class of clustered random networks

2010-12-16

arxiv.org/abs/1012.3651v2

Physics

Physics and Society

10 pages

Scientific paper

10.1103/PhysRevE.83.056107

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 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 which 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.

Affiliated with

Also associated with

No associations

Rating

Cascades on a class of clustered random networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cascades on a class of clustered random networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cascades on a class of clustered random networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-219585