%0 Journal Article %1 Cohen2001Breakdown %A Cohen, Reuven %A Erez, Keren %A Avraham, Daniel B. %A Havlin, Shlomo %D 2001 %I American Physical Society %J Physical Review Letters %K attack, topology internet scale-free-networks %N 16 %P 3682--3685 %R 10.1103/physrevlett.86.3682 %T Breakdown of the Internet under Intentional Attack %U http://dx.doi.org/10.1103/physrevlett.86.3682 %V 86 %X We study the tolerance of random networks to intentional attack, whereby a fraction p of the most connected sites is removed. We focus on scale-free networks, having connectivity distribution P(k)∼k-α, and use percolation theory to study analytically and numerically the critical fraction pc needed for the disintegration of the network, as well as the size of the largest connected cluster. We find that even networks with α≤3, known to be resilient to random removal of sites, are sensitive to intentional attack. We also argue that, near criticality, the average distance between sites in the spanning (largest) cluster scales with its mass, M, as √M, rather than as logkM, as expected for random networks away from criticality.

@article{Cohen2001Breakdown, abstract = {{We study the tolerance of random networks to intentional attack, whereby a fraction p of the most connected sites is removed. We focus on scale-free networks, having connectivity distribution P(k)∼k-α, and use percolation theory to study analytically and numerically the critical fraction pc needed for the disintegration of the network, as well as the size of the largest connected cluster. We find that even networks with α≤3, known to be resilient to random removal of sites, are sensitive to intentional attack. We also argue that, near criticality, the average distance between sites in the spanning (largest) cluster scales with its mass, M, as √M, rather than as logkM, as expected for random networks away from criticality.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Cohen, Reuven and Erez, Keren and Avraham, Daniel B. and Havlin, Shlomo}, biburl = {https://www.bibsonomy.org/bibtex/2b459f99a9263eff4edf4070eeb48efc6/nonancourt}, citeulike-article-id = {2352886}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrevlett.86.3682}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v86/i16/p3682}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v86/i16/p3682}, day = 16, doi = {10.1103/physrevlett.86.3682}, interhash = {ec6b5baaf2e7ca2c7afa86ca18211627}, intrahash = {b459f99a9263eff4edf4070eeb48efc6}, journal = {Physical Review Letters}, keywords = {attack, topology internet scale-free-networks}, month = apr, number = 16, pages = {3682--3685}, posted-at = {2008-12-05 19:19:56}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-08-01T16:13:16.000+0200}, title = {{Breakdown of the Internet under Intentional Attack}}, url = {http://dx.doi.org/10.1103/physrevlett.86.3682}, volume = 86, year = 2001 }