Immunization of complex networks.

@article{PastorSatorras2002ImmunizationOC,
  title={Immunization of complex networks.},
  author={Romualdo Pastor-Satorras and Alessandro Vespignani},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2002},
  volume={65 3 Pt 2A},
  pages={
          036104
        }
}
Complex networks such as the sexual partnership web or the Internet often show a high degree of redundancy and heterogeneity in their connectivity properties. This peculiar connectivity provides an ideal environment for the spreading of infective agents. Here we show that the random uniform immunization of individuals does not lead to the eradication of infections in all complex networks. Namely, networks with scale-free properties do not acquire global immunity from major epidemic outbreaks… 

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