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Multifractality of complex networks
| Title: | Multifractality of complex networks |
| Authors: | Furuya, Shuhei Browse this author | | Yakubo, Kousuke Browse this author →KAKEN DB |
| Issue Date: | Sep-2011 |
| Publisher: | American Physical Society |
| Journal Title: | Physical Review E |
| Volume: | 84 |
| Issue: | 3 |
| Start Page: | 036118 |
| Publisher DOI: | 10.1103/PhysRevE.84.036118 |
| Abstract: | We demonstrate analytically and numerically the possibility that the fractal property of a scale-free network cannot be characterized by a unique fractal dimension and the network takes a multifractal structure. It is found that the mass exponents τ(q) for several deterministic, stochastic, and real-world fractal scale-free networks are nonlinear functions of q, which implies that structural measures of these networks obey the multifractal scaling. In addition, we give a general expression of τ(q) for some class of fractal scale-free networks by a mean-field approximation. The multifractal property of network structures is a consequence of large fluctuations of local node density in scale-free networks. |
| Rights: | ©2011 American Physical Society |
| Type: | article |
| URI: | http://hdl.handle.net/2115/47471 |
| Appears in Collections: | 工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 矢久保 考介
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