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, Dawid, Daryush Jonathan, Kardar, Mehran, Bar-Yam, Yaneer
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:en_US
Published: American Physical Society 2010
Online Access:http://hdl.handle.net/1721.1/51827
https://orcid.org/0000-0002-1112-5912