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Title: Dynamic-Based Structure Measures of Complex Networks
Keywords: complex networks, dynamic-based structure measures, localization, evolutionary ages, spectral analysis, muti-fractal structures
Issue Date: 10-Aug-2012
Source: ZHU GUIMEI (2012-08-10). Dynamic-Based Structure Measures of Complex Networks. ScholarBank@NUS Repository.
Abstract: Complex networks research has attracted incredible wide attention in recent years. Although great progress has been achieved, we still do not have any systematic methods for characterizing network structures. Hence the general aim of this dissertation is to excavate the keys to these problems by using the dynamic-based structure measures of spectra analysis of complex networks. To understand the localization properties of complex networks, the methods from Random Matrix Theory and dynamics systems are demonstrated. The studies of spectra analysis of these large scale networks provide that the networks have remarkable localization properties due to the nontrivial topological structures, and the ascending-order-ranked series of the occurrence probabilities at the nodes behave multi-fractal. It can be used as a structural measure of complex networks. The last but not least topic is to detect the evolutionary history of a network. In particular, we find that there are complex networks in the real-world for which there is a positive correlation between the eigenvalue magnitude and node age.
Appears in Collections:Ph.D Theses (Open)

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