Huang Xuqing, Gao Jianxi, Buldyrev Sergey V, Havlin Shlomo, Stanley H Eugene
Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6 Pt 2):065101. doi: 10.1103/PhysRevE.83.065101. Epub 2011 Jun 27.
When an initial failure of nodes occurs in interdependent networks, a cascade of failure between the networks occurs. Earlier studies focused on random initial failures. Here we study the robustness of interdependent networks under targeted attack on high or low degree nodes. We introduce a general technique which maps the targeted-attack problem in interdependent networks to the random-attack problem in a transformed pair of interdependent networks. We find that when the highly connected nodes are protected and have lower probability to fail, in contrast to single scale-free (SF) networks where the percolation threshold pc = 0, coupled SF networks are significantly more vulnerable with pc significantly larger than zero. The result implies that interdependent networks are difficult to defend by strategies such as protecting the high degree nodes that have been found useful to significantly improve robustness of single networks.
当相互依存网络中节点出现初始故障时，网络间会发生级联故障。早期研究聚焦于随机初始故障。在此我们研究相互依存网络在针对高或低度节点的定向攻击下的鲁棒性。我们引入一种通用技术，将相互依存网络中的定向攻击问题映射到一对变换后的相互依存网络中的随机攻击问题。我们发现，当高度连接的节点受到保护且故障概率较低时，与渗流阈值(p_c = 0)的单无标度（SF）网络相比，耦合的SF网络显著更易受攻击，其(p_c)明显大于零。该结果表明，相互依存网络难以通过诸如保护高度节点这类已被发现对显著提高单个网络鲁棒性有用的策略来防御。
