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A new method (`explosive immunization' (EI)) is proposed for immunization andtargeted destruction of networks. It combines the explosive percolation (EP)paradigm with the idea of maintaining a fragmented distribution of clusters.The ability of each node to block the spread of an infection (or to prevent theexistence of a large cluster of connected nodes) is estimated by a score. Thealgorithm proceeds by first identifying low score nodes that should not bevaccinated/destroyed, analogously to the links selected in EP if they do notlead to large clusters. As in EP, this is done by selecting the worst node(weakest blocker) from a finite set of randomly chosen `candidates'. Tests onseveral real-world and model networks suggest that the method is more efficientand faster than any existing immunization strategy. Due to the latter propertyit can deal with very large networks.

Immunization and targeted destruction of networks using explosive percolation