Uncorrelatedness in growing networks with preferential survival of nodes
dc.contributor.author
dc.date.accessioned
2013-02-01T11:27:02Z
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2013-02-01T11:27:02Z
dc.date.issued
2011
dc.identifier.issn
1539-3755
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dc.description.abstract
The emergence of uncorrelated growing networks is proved when nodes are removed either uniformly or under the preferential survival rule recently observed in the World Wide Web evolution. To this aim, the rate equation for the joint probability of degrees is derived, and stationary symmetrical solutions are obtained, by passing to the continuum limit. When a uniformly random removal of extant nodes and linear preferential attachment of new nodes are at work, we prove that the only stationary solution corresponds to uncorrelated networks for any removal rate r ∈ (0,1). In the more general case of preferential survival of nodes, uncorrelated solutions are also obtained. These results generalize the uncorrelatedness displayed by the (undirected) Barab´asi-Albert network model to models with uniformly random and selective (against low degrees) removal of nodes
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application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
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Versió preprint del document publicat a: http://dx.doi.org/10.1103/PhysRevE.83.016110
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© Americal Review E, 2011, núm. 83, p. 016110
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Articles publicats (D-IMA)
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Tots els drets reservats
dc.subject
dc.title
Uncorrelatedness in growing networks with preferential survival of nodes
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.type.version
info:eu-repo/semantics/submittedVersion
dc.identifier.doi
dc.identifier.idgrec
013725
dc.identifier.eissn
1550-2376