2009
DOI: 10.1080/15427951.2009.10129184
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Distributing Antidote Using PageRank Vectors

Abstract: We give an analysis of a variant of the contact process on finite graphs, allowing for non-uniform cure rates, modeling antidote distribution. We examine an inoculation scheme using PageRank vectors which quantify the correlations among vertices in the contact graph. We show that for a contact graph on n nodes we can select a set H of nodes to inoculate such that with probability at least 1 − 2 , any infection from any starting infected set of s nodes will die out in c log s + c time, where c and c depend only… Show more

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Cited by 55 publications
(38 citation statements)
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“…These approaches mainly rely on nodes' locations in the overall network to determine their relative importance. Some of the popular strategies include acquaintance immunization [9], targeted immunization (e.g., [10]), page rank centrality based immunization [11] and eigenvalue centrality based immunization [12]. More recently, the problem of optimal allocation of protection resources was formulated and solved using a geometric programming approach by Preciado et al [8].…”
Section: Background and Related Workmentioning
confidence: 99%
“…These approaches mainly rely on nodes' locations in the overall network to determine their relative importance. Some of the popular strategies include acquaintance immunization [9], targeted immunization (e.g., [10]), page rank centrality based immunization [11] and eigenvalue centrality based immunization [12]. More recently, the problem of optimal allocation of protection resources was formulated and solved using a geometric programming approach by Preciado et al [8].…”
Section: Background and Related Workmentioning
confidence: 99%
“…Literature, such as [2], has proposed the usage of PageRank and other centrality measures to stop the spread of viruses by identifying important nodes. In contrast, Preciado et al, in [7], suggest that no simple correspondence between graph organization and optimal immunization schemes exists.…”
Section: Introductionmentioning
confidence: 99%
“…For example, advertisers can more effectively serve niche audiences if they can identify their target communities within the larger social web, and viruses on technological or population networks can be effectively quarantined by distributing antidote to local clusters around their origins [9].…”
Section: Introductionmentioning
confidence: 99%