复杂网络谱中的自仿射分形
Self-affine Fractals Embedded in Spectra of Complex Networks
摘要:
利用小波变换研究了真实世界复杂网络的谱标度特性。发现网络的谱是多重分形的。根据长程相关指数$H$的大小,网络可分为$H>0.5$、$H=0.5$和$H<0.5$三类。所有考虑的真实世界网络都属于$H \ge 0.5$类,这可以用分层属性来解释。
英文摘要:
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.
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