Optimization of Network Robustness to Waves of Targeted and Random Attack

T. Tanizawa; G. Paul; R. Cohen; S. Havlin; H. E. Stanley

doi:10.1103/PhysRevE.71.047101

Optimization of Network Robustness to Waves of Targeted and Random Attack

Statistical Mechanics 2016-08-31 v1 Disordered Systems and Neural Networks

Authors: T. Tanizawa , G. Paul , R. Cohen , S. Havlin , H. E. Stanley

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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 $p_t/p_r\ll 1$ .

Keywords

network robustness targeted attack random attack degree distribution network collapse

Cite

@article{arxiv.cond-mat/0406567,
  title  = {Optimization of Network Robustness to Waves of Targeted and Random Attack},
  author = {T. Tanizawa and G. Paul and R. Cohen and S. Havlin and H. E. Stanley},
  journal= {arXiv preprint arXiv:cond-mat/0406567},
  year   = {2016}
}

Optimization of Network Robustness to Waves of Targeted and Random Attack

Abstract

Keywords

Cite

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