Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevE.77.066113
Title: Localizations on complex networks
Authors: Zhu, G. 
Yang, H. 
Yin, C. 
Li, B. 
Issue Date: 23-Jun-2008
Citation: Zhu, G., Yang, H., Yin, C., Li, B. (2008-06-23). Localizations on complex networks. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 77 (6) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.77.066113
Abstract: We study the structural characteristics of complex networks using the representative eigenvectors of the adjacent matrix. The probability distribution function of the components of the representative eigenvectors are proposed to describe the localization on networks where the Euclidean distance is invalid. Several quantities are used to describe the localization properties of the representative states, such as the participation ratio, the structural entropy, and the probability distribution function of the nearest neighbor level spacings for spectra of complex networks. Whole-cell networks in the real world and the Watts-Strogatz small-world and Barabasi-Albert scale-free networks are considered. The networks have nontrivial localization properties due to the nontrivial topological structures. It is found that the ascending-order-ranked series of the occurrence probabilities at the nodes behave generally multifractally. This characteristic can be used as a structural measure of complex networks. © 2008 The American Physical Society.
Source Title: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/97086
ISSN: 15393755
DOI: 10.1103/PhysRevE.77.066113
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