Physics – Physics and Society
Scientific paper
2008-03-28
Physics
Physics and Society
4 pages, 1 figure, accepted by Phys. Rev. E as rapid comm
Scientific paper
10.1103/PhysRevE.77.045101
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 $H \ge 0.5$, which may be explained by the hierarchical properties.
Li Baowen
Yang Hui-jie
Yin Chuanyang
Zhu Guimei
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