Abstract
We develop a method to generate robust networks against malicious
attacks, as well as to substantially improve the robustness of a given
network by swapping edges and keeping the degree distribution fixed. The
method, based on persistence of the size of the largest cluster during
attacks, was applied to several types of networks with broad degree
distributions, including a real network-the Internet. We find that our
method can improve the robustness significantly. Our results show that
robust networks have a novel `onion-like' topology consisting of a core
of highly connected nodes hierarchically surrounded by rings of nodes
with decreasing degree.
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