Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevE.80.046101
DC FieldValue
dc.titleSpectral analysis of deformed random networks
dc.contributor.authorJalan, S.
dc.date.accessioned2014-10-16T09:41:34Z
dc.date.available2014-10-16T09:41:34Z
dc.date.issued2009-10-01
dc.identifier.citationJalan, S. (2009-10-01). Spectral analysis of deformed random networks. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 80 (4) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.80.046101
dc.identifier.issn15393755
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/97978
dc.description.abstractWe study spectral behavior of sparsely connected random networks under the random matrix framework. Subnetworks without any connection among them form a network having perfect community structure. As connections among the subnetworks are introduced, the spacing distribution shows a transition from the Poisson statistics to the Gaussian orthogonal ensemble statistics of random matrix theory. The eigenvalue density distribution shows a transition to the Wigner's semicircular behavior for a completely deformed network. The range for which spectral rigidity, measured by the Dyson-Mehta Δ3 statistics, follows the Gaussian orthogonal ensemble statistics depends upon the deformation of the network from the perfect community structure. The spacing distribution is particularly useful to track very slight deformations of the network from a perfect community structure, whereas the density distribution and the Δ3 statistics remain identical to the undeformed network. On the other hand the Δ3 statistics is useful for the larger deformation strengths. Finally, we analyze the spectrum of a protein-protein interaction network for Helicobacter, and compare the spectral behavior with those of the model networks. © 2009 The American Physical Society.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1103/PhysRevE.80.046101
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentPHYSICS
dc.description.doi10.1103/PhysRevE.80.046101
dc.description.sourcetitlePhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
dc.description.volume80
dc.description.issue4
dc.description.page-
dc.description.codenPLEEE
dc.identifier.isiut000271350700007
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