PMID: 15244664Jul 13, 2004Paper

Temporal series analysis approach to spectra of complex networks

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Huijie YangBeilai Hu

Abstract

The spacing of nearest levels of the spectrum of a complex network can be regarded as a time series. Joint use of the multifractal detrended fluctuation approach (MF-DFA) and diffusion entropy (DE) is employed to extract characteristics from this time series. For the Watts-Strogatz small-world model, there exists a critical point at rewiring probability P(r) =0.32. For a network generated in the range 0< P(r) <0.32, the correlation exponent is in the range of 1.0-1.64. Above this critical point, all the networks behave similar to that at p(r) =1. For the Erdos-Renyi model, the time series behaves like fractional Brownian motion noise at p(ER) =1/N. For the growing random network (GRN) model, the values of the long-range correlation exponent are in the range of 0.74-0.83. For most of the GRN networks the probability distribution function of a constructed time series obeys a Gaussian form. In the joint use of MF-DFA and DE, the shuffling procedure in DE is essential to obtain a reliable result.

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Citations

Jan 4, 2007·Chaos·Huijie YangBinghong Wang
May 8, 2007·Journal of Theoretical Biology·Fangcui ZhaoBinghong Wang
Dec 31, 2014·PloS One·Xue PanChenping Zhu
Sep 21, 2016·PloS One·Tianguang YangHuijie Yang
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Huijie YangBaowen Li
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Guimei ZhuBaowen Li
Jul 12, 2020·Scientific Reports·G Torres-VargasC Tapia-Ignacio
Jan 20, 2018·Physical Review. E·Gyanendra BoharaPaolo Grigolini
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Fangcui ZhaoBinghong Wang
Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Wenqing ZhangJianyong Wang

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