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math-ph2008★ 50 cited
Fractal Boundaries of Complex Networks
Jia Shao, Sergey V. Buldyrev, Reuven Cohen +3
We introduce the concept of boundaries of a complex network as the set of nodes at distance larger than the mean distance from a given node in the network. We study the statistical…
cond-mat.dis-nn2008★ 2 cited
Unusual percolation in simple small-world networks
Reuven Cohen, Daryush Jonathan Dawid, Mehran Kardar +1
We present an exact solution of percolation in a generalized class of Watts-Strogatz graphs defined on a 1-dimensional underlying lattice. We find a non-classical critical point in…