Optimization of Network Robustness to Waves of Targeted and Random Attack TeX Export

@misc{citeulike:599, abstract = {We study the robustness of complex networks to multiple waves of simultaneous (i) targeted attacks in which the highest degree nodes are removed and (ii) random attacks (or failures) in which fractions \$p\_t\$ and \$p\_r\$ respectively of the nodes are removed until the network collapses. We find that the network design which optimizes network robustness has a bimodal degree distribution, with a fraction \$r\$ of the nodes having degree \$k\_2= (\kav - 1 +r)/r\$ and the remainder of the nodes having degree \$k\_1=1\$, where \$\kav\$ is the average degree of all the nodes. We find that the optimal value of \$r\$ is of the order of \$p\_t/p\_r\$ for \$p\_t/p\_r\ll 1\$.}, archivePrefix = {arXiv}, author = {Tanizawa, T. and Paul, G. and Cohen, R. and Havlin, S. and Stanley, H. E.}, citeulike-article-id = {599}, citeulike-linkout-0 = {http://arxiv.org/abs/cond-mat/0406567}, citeulike-linkout-1 = {http://arxiv.org/pdf/cond-mat/0406567}, day = {23}, eprint = {cond-mat/0406567}, keywords = {networks, robustness}, month = {June}, posted-at = {2006-08-05 03:24:34}, priority = {2}, title = {Optimization of Network Robustness to Waves of Targeted and Random Attack}, url = {http://arxiv.org/abs/cond-mat/0406567}, year = {2004} }

TY - ELEC ID - citeulike:599 L3 - citeulike-article-id:599 N2 - We study the robustness of complex networks to multiple waves of simultaneous (i) targeted attacks in which the highest degree nodes are removed and (ii) random attacks (or failures) in which fractions $p_t$ and $p_r$ respectively of the nodes are removed until the network collapses. We find that the network design which optimizes network robustness has a bimodal degree distribution, with a fraction $r$ of the nodes having degree $k_2= (\kav - 1 +r)/r$ and the remainder of the nodes having degree $k_1=1$, where $\kav$ is the average degree of all the nodes. We find that the optimal value of $r$ is of the order of $p_t/p_r$ for $p_t/p_r\ll 1$. TI - Optimization of Network Robustness to Waves of Targeted and Random Attack KW - networks KW - robustness AU - Tanizawa, T AU - Paul, G AU - Cohen, R AU - Havlin, S AU - Stanley, HE PY - 2004/06/23/ UR - http://arxiv.org/abs/cond-mat/0406567 ER -