Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevE.84.046107
DC FieldValue
dc.titleSpectral properties of directed random networks with modular structure
dc.contributor.authorJalan, S.
dc.contributor.authorZhu, G.
dc.contributor.authorLi, B.
dc.date.accessioned2014-10-16T09:41:36Z
dc.date.available2014-10-16T09:41:36Z
dc.date.issued2011-10-18
dc.identifier.citationJalan, S., Zhu, G., Li, B. (2011-10-18). Spectral properties of directed random networks with modular structure. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 84 (4) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.84.046107
dc.identifier.issn15393755
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/97981
dc.description.abstractWe study spectra of directed networks with inhibitory and excitatory couplings. We investigate in particular eigenvector localization properties of various model networks for different values of correlation among their entries. Spectra of random networks with completely uncorrelated entries show a circular distribution with delocalized eigenvectors, whereas networks with correlated entries have localized eigenvectors. In order to understand the origin of localization we track the spectra as a function of connection probability and directionality. As connections are made directed, eigenstates start occurring in complex-conjugate pairs and the eigenvalue distribution combined with the localization measure shows a rich pattern. Moreover, for a very well distinguished community structure, the whole spectrum is localized except few eigenstates at the boundary of the circular distribution. As the network deviates from the community structure there is a sudden change in the localization property for a very small value of deformation from the perfect community structure. We search for this effect for the whole range of correlation strengths and for different community configurations. Furthermore, we investigate spectral properties of a metabolic network of zebrafish and compare them with those of the model networks. © 2011 American Physical Society.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1103/PhysRevE.84.046107
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentPHYSICS
dc.description.doi10.1103/PhysRevE.84.046107
dc.description.sourcetitlePhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
dc.description.volume84
dc.description.issue4
dc.description.page-
dc.description.codenPLEEE
dc.identifier.isiut000296525500001
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