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Complex Networks by Shlomo Havlin, Reuven Cohen

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13   Optimization of the network structure

In this chapter we present results for the robustness of complex networks under multiple waves of simultaneous targeted attacks in which the highest degree nodes are removed and random attacks (or failures), in which fractions pt and pr, respectively, of the nodes are removed until the network collapses [TPC+05]. It is shown that the network design, which optimizes network robustness, has a bimodal degree distribution, with a fraction r of the nodes having degree k2= (imagekimage– 1 + r)/r and the remainder of the ...

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