1.5k citations · 5.4k across the 45 of their papers we have counts for
10 papers · 1 filter
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…
Numerical evaluation of the upper critical dimension of percolation in scale-free networks
Zhenhua Wu, Cecilia Lagorio, Lidia A. Braunstein +3
We propose a numerical method to evaluate the upper critical dimension of random percolation clusters in Erdős-Rényi networks and in scale-free networks with degree distribut…
Percolation theory applied to measures of fragmentation in social networks
Yiping Chen, Gerald Paul, Reuven Cohen +4
We apply percolation theory to a recently proposed measure of fragmentation for social networks. The measure is defined as the ratio between the number of pairs of nodes th…
Width of percolation transition in complex networks
Tomer Kalisky, Reuven Cohen
It is known that the critical probability for the percolation transition is not a sharp threshold, actually it is a region of non-zero width for systems of finite size. Here…
Stability and topology of scale-free networks under attack and defense strategies
Lazaros K. Gallos, Reuven Cohen, Panos Argyrakis +2
We study tolerance and topology of random scale-free networks under attack and defense strategies that depend on the degree k of the nodes. This situation occurs, for example, when…
Efficient Immunization Strategies for Computer Networks and Populations
Reuven Cohen, Shlomo Havlin, Daniel ben-Avraham
We present an effective immunization strategy for computer networks and populations with broad and, in particular, scale-free degree distributions. The proposed strategy, acquainta…