Unusual percolation in simple small-world networks

We present an exact solution of percolation in a generalized class of Watts-Strogatz graphs defined on a one-dimensional underlying lattice. We find a nonclassical critical point in the limit of the number of long-range bonds in the system going to zero, with a discontinuity in the percolation proba...

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Bibliographic Details
Main Authors: Cohen, Reuven (Author), Dawid, Daryush Jonathan (Author), Kardar, Mehran (Contributor), Bar-Yam, Yaneer (Author)
Other Authors: Massachusetts Institute of Technology. Department of Physics (Contributor)
Format: Article
Language:English
Published: American Physical Society, 2010-02-25T14:58:57Z.
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