Self-affine Fractals Embedded in Spectra of Complex Networks

@misc{citeulike:3032901, abstract = {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.}, author = {Yang, Huijie and Yin, Chuanyang and Zhu, Guimei and Li, Baowen }, citeulike-article-id = {3032901}, eprint = {0803.4088}, keywords = {networks}, month = {Mar}, posted-at = {2008-07-22 15:36:56}, priority = {2}, title = {Self-affine Fractals Embedded in Spectra of Complex Networks}, url = {http://arxiv.org/abs/0803.4088}, year = {2008} }

TY - ELEC ID - citeulike:3032901 L3 - citeulike-article-id:3032901 TI - Self-affine Fractals Embedded in Spectra of Complex Networks N2 - 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. KW - networks AU - Yang, Huijie AU - Yin, Chuanyang AU - Zhu, Guimei AU - Li, Baowen PY - 2008/Mar/28/ UR - http://arxiv.org/abs/0803.4088 ER -