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Eigenvector localization in real networks and its implications for epidemic spreading
dc.contributor.author | Pastor Satorras, Romualdo |
dc.contributor.author | Castellano, Claudio |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Física |
dc.date.accessioned | 2018-05-14T18:30:06Z |
dc.date.available | 2019-02-12T01:30:38Z |
dc.date.issued | 2018-02-10 |
dc.identifier.citation | Pastor-Satorras, R., Castellano, C. Eigenvector localization in real networks and its implications for epidemic spreading. "Journal of statistical physics", 10 Febrer 2018, vol. 173, issue 3-4, p. 1110-1123. |
dc.identifier.issn | 0022-4715 |
dc.identifier.uri | http://hdl.handle.net/2117/117211 |
dc.description.abstract | The spectral properties of the adjacency matrix, in particular its largest eigenvalue and the associated principal eigenvector, dominate many structural and dynamical properties of complex networks. Here we focus on the localization properties of the principal eigenvector in real networks. We show that in most cases it is either localized on the star defined by the node with largest degree (hub) and its nearest neighbors, or on the densely connected subgraph defined by the maximum K-core in a K-core decomposition. The localization of the principal eigenvector is often strongly correlated with the value of the largest eigenvalue, which is given by the local eigenvalue of the corresponding localization subgraph, but different scenarios sometimes occur. We additionally show that simple targeted immunization strategies for epidemic spreading are extremely sensitive to the actual localization set. |
dc.format.extent | 13 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Física |
dc.subject.lcsh | Spectral theory (Mathematics) |
dc.subject.other | Complex networks Spectral properties Dynamical processes |
dc.title | Eigenvector localization in real networks and its implications for epidemic spreading |
dc.type | Article |
dc.subject.lemac | Teoria espectral (Matemàtica) |
dc.contributor.group | Universitat Politècnica de Catalunya. SIMCON - First-principles approaches to condensed matter physics: quantum effects and complexity |
dc.identifier.doi | 10.1007/s10955-018-1970-8 |
dc.relation.publisherversion | https://link.springer.com/article/10.1007%2Fs10955-018-1970-8 |
dc.rights.access | Open Access |
local.identifier.drac | 22423016 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Pastor-Satorras, R.; Castellano, C. |
local.citation.publicationName | Journal of statistical physics |
local.citation.startingPage | 1110 |
local.citation.endingPage | 1123 |
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