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$1/f^{alpha}$ noise in spectral fluctuations of complex networks
Ye Bin *
China University of Mining and Technology，School of Information and Electrical Engineering
*Correspondence author
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Funding: 教育部博士点基金,中国矿业大学青年科研基金（No.20090095120015,0C090198）
Opened online:29 March 2010
Accepted by: none
Citation: Ye Bin.$1/f^{alpha}$ noise in spectral fluctuations of complex networks[OL]. [29 March 2010] http://en.paper.edu.cn/en_releasepaper/content/41270
 
 
$1/f^{alpha}$-noise or $1/f^{alpha}$-phenomenon is widely considered as the signature of complexity. We demonstrate the existence of this phenomenon in various model networks, namely random, small-world, scale-free complex networks. Taking the eigenvalues of the adjacency matrix as a discrete time series, the Fourier power spectrum of the fluctuations of these eigenvalues are analyzed in terms of their frequency. An approximately $1/f^{2}$ type power-law behavior is found in these model networks. We also present our analysis for the real-world interconnected electrical power grid. Our present work provides a new perspective to understand the complex network structures.
Keywords:$1/f^{alpha}$-Noise;Complex Network;Spectral Fluctuation
 
 
 

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