Stability and topology of scale-free networks under attack and defense strategies

Details Stability and topology of scale-free networks under attack and defense strategies Stability and topology of scale-free networks under attack and defense strategies

2005-05-09

arxiv.org/abs/cond-mat/0505201v1

Phys. Rev. Lett. 94, 188701 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Accepted in PRL

Scientific paper

10.1103/PhysRevLett.94.188701

We study tolerance and topology of random scale-free networks under attack and defense strategies that depend on the degree k of the nodes. This situation occurs, for example, when the robustness of a node depends on its degree or in an intentional attack with insufficient knowledge on the network. We determine, for all strategies, the critical fraction p_c of nodes that must be removed for disintegrating the network. We find that for an intentional attack, little knowledge of the well-connected sites is sufficient to strongly reduce p_c. At criticality, the topology of the network depends on the removal strategy, implying that different strategies may lead to different kinds of percolation transitions.

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