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19922026
most citedCatastrophic cascade of failures in interdependent networks

4.5k citations

Showing 2002 · cond-mat.dis-nnShow all

9 papers · 2 filters

cond-mat.dis-nn2002★ 70 cited

Mutual learning in a tree parity machine and its application to cryptography

Michal Rosen-Zvi, Einat Klein, Ido Kanter +1

Mutual learning of a pair of tree parity machines with continuous and discrete weight vectors is studied analytically. The analysis is based on a mapping procedure that maps the mu…

cond-mat.dis-nn2002★ 1.2k cited

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…

cond-mat.dis-nn2002★ 62 cited

A secure key-exchange protocol with an absence of injective functions

R. Mislovaty, Y. Perchenok, Ido Kanter +1

The security of neural cryptography is investigated. A key-exchange protocol over a public channel is studied where the parties exchanging secret messages use multilayer neural net…

cond-mat.dis-nn2002★ 179 cited

Scale-free Networks on Lattices

Alejandro F. Rozenfeld, Reuven Cohen, Daniel ben-Avraham +1

We suggest a method for embedding scale-free networks, with degree distribution P(k) k^-lambda, in regular Euclidean lattices. The embedding is driven by a natural constraint of mi…

cond-mat.dis-nn2002★ 820 cited

Scale-Free Networks are Ultrasmall

Reuven Cohen, Shlomo Havlin

We study the diameter, or the mean distance between sites, in a scale-free network, having N sites and degree distribution p(k) ~ k^-a, i.e. the probability of having k links outgo…

cond-mat.dis-nn2002★ 222 cited

Percolation in Directed Scale-Free Networks

N. Schwartz, R. Cohen, D. ben-Avraham +2

Many complex networks in nature have directed links, a property that affects the network's navigability and large-scale topology. Here we study the percolation properties of such d…

cond-mat.dis-nn2002★ 12 cited

Interacting neural networks and cryptography

Wolfgang Kinzel, Ido Kanter

Two neural networks which are trained on their mutual output bits are analysed using methods of statistical physics. The exact solution of the dynamics of the two weight vectors sh…

cond-mat.dis-nn2002★ 26 cited

Learning and predicting time series by neural networks

Ansgar Freking, Wolfgang Kinzel, Ido Kanter

Artificial neural networks which are trained on a time series are supposed to achieve two abilities: firstly to predict the series many time steps ahead and secondly to learn the r…

cond-mat.dis-nn2002★ 315 cited

Percolation Critical Exponents in Scale-Free Networks

Reuven Cohen, Daniel ben-Avraham, Shlomo Havlin

We study the behavior of scale-free networks, having connectivity distribution P(k) k^-a, close to the percolation threshold. We show that for networks with 3<a<4, known to undergo…