Article ID Journal Published Year Pages File Type
976061 Physica A: Statistical Mechanics and its Applications 2010 4 Pages PDF
Abstract

1/fα1/fα-noise or 1/fα1/fα-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 signal, the Fourier power spectrum of the fluctuations of the eigenvalues is analyzed in terms of their frequency. An approximately 1/f1/f type power-law behavior is found in random networks, while the power spectrum of the fluctuations of small-world and scale-free networks featuring 1/fα1/fα noise with 1<α<21<α<2. 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.

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Physical Sciences and Engineering Mathematics Mathematical Physics
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