title: Immunization and Targeted Destruction of Networks using Explosive Percolation.
abstract: A new method ("explosive immunization") is proposed for immunization and targeted 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 the existence of a large cluster of connected nodes) is estimated by a score. The algorithm proceeds by first identifying low score nodes that should not be vaccinated or destroyed, analogously to the links selected in EP if they do not lead 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 on several real-world and model networks suggest that the method is more efficient and faster than any existing immunization strategy. Because of the latter property it can deal with very large networks.
authors.affiliation: Institute for Complex Systems and Mathematical Biology, SUPA, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom.|Dipartimento di Fisica, Università di Firenze, via G. Sansone 1, I-50019 Sesto Fiorentino, Italy.
authors.forename: Pau
authors.initials: P
authors.lastname: Clusella
authors.affiliation: Institute for Complex Systems and Mathematical Biology, SUPA, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom.|JSC, FZ Jülich, D-52425 Jülich, Germany.
authors.forename: Peter
authors.initials: P
authors.lastname: Grassberger
authors.affiliation: Institute for Complex Systems and Mathematical Biology, SUPA, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom.
authors.forename: Francisco J
authors.initials: FJ
authors.lastname: Pérez-Reche
authors.affiliation: Institute for Complex Systems and Mathematical Biology, SUPA, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom.
authors.forename: Antonio
authors.initials: A
authors.lastname: Politi
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D007114:Immunization