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1/fα noise in spectral fluctuations of complex networks

Author

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  • Ye, Bin
  • Li, Hui-jun
  • Ma, Xiao-ping

Abstract

1/fα-noise or 1/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/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/fα noise with 1<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.

Suggested Citation

  • Ye, Bin & Li, Hui-jun & Ma, Xiao-ping, 2010. "1/fα noise in spectral fluctuations of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(22), pages 5328-5331.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:22:p:5328-5331
    DOI: 10.1016/j.physa.2010.07.023
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    Cited by:

    1. Maiorino, Enrico & Livi, Lorenzo & Giuliani, Alessandro & Sadeghian, Alireza & Rizzi, Antonello, 2015. "Multifractal characterization of protein contact networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 302-313.

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