Self-affine fractals embedded in spectra of complex networks.
The scaling properties of spectra of real world complex networks are studied by using the wavelet transform. It is found that the spectra of networks are multifractal. According to the values of the long-range correlation exponent, the Hust exponent H, the networks can be classified into three types, namely, H>0.5, H=0.5, and H<0.5. All real world networks considered belong to the class of H>or=0.5, which may be explained by the hierarchical properties.
Department of Physics and Centre for Computational Science and Engineering, National University of Singapore, Singapore 117542.
Huijie
H
Yang
Chuanyang
C
Yin
Guimei
G
Zhu
Baowen
B
Li