Optimization of Network Robustness to Waves of Targeted and Random Attack

Details Optimization of Network Robustness to Waves of Targeted and Random Attack Optimization of Network Robustness to Waves of Targeted and Random Attack

2004-06-23

arxiv.org/abs/cond-mat/0406567v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.71.047101

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 $p_t/p_r\ll 1$.

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