| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Fractal Analysis of Mobile Social Networks |
| Wei Zheng1,2**, Qian Pan1, Chen Sun1, Yu-Fan Deng1, Xiao-Kang Zhao1, Zhao Kang1 |
1School Of Software, Nanchang Hangkong University, Nanchang 330063
2School of Mathematics and Statistics, Xidian University, Xi'an 710071
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| Cite this article: |
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Wei Zheng, Qian Pan, Chen Sun et al 2016 Chin. Phys. Lett. 33 038901 |
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Abstract Fractal and self similarity of complex networks have attracted much attention in recent years. The fractal dimension is a useful method to describe the fractal property of networks. However, the fractal features of mobile social networks (MSNs) are inadequately investigated. In this work, a box-covering method based on the ratio of excluded mass to closeness centrality is presented to investigate the fractal feature of MSNs. Using this method, we find that some MSNs are fractal at different time intervals. Our simulation results indicate that the proposed method is available for analyzing the fractal property of MSNs.
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Received: 09 September 2015
Published: 31 March 2016
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| PACS: |
89.75.Hc
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(Networks and genealogical trees)
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89.70.-a
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(Information and communication theory)
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05.45.Tp
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(Time series analysis)
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| [1] | Xiao M, Wu J and Huang L 2014 IEEE Trans. Comput. 63 1682 | | [2] | Wei P C, Sutanto J and Tan C H 2014 Int. J. Accounting Inf. Management. 22 321 | | [3] | Lin K Y and Lu H P 2015 Internet Res. 25 107 | | [4] | Bulut E and Szymanski B K 2012 IEEE Trans. Parallel Distributed Syst. 23 2254 | | [5] | Dong W, Dave V and Qiu L 2011 INFOCOM 2011 Proc. IEEE (Shanghai Jiao Tong University, China 10–15 April 2011) p 1647 | | [6] | Thilakarathna K, Viana A C and Seneviratne A 2007 Proceedings of the Fourteenth ACM International Symposium on Mobile ad hoc Networking and Computing 263 | | [7] | Li M, Cao N and Yu S 2014 INFOCOM 2011 Proceedings IEEE (Shanghai Jiao Tong University, China 10–15 April 2011) p 2435 | | [8] | Zhang H, Lan X, Wei D, Mahadevan S and Deng Y 2013 Mod. Phys. Lett. B 27 1350201 | | [9] | Gallos L K, Song C and Makse H A 2007 Physica A 386 686 | | [10] | Schneider C M, Kesselring T A and Andrade Jr J S 2012 Phys. Rev. E 86 016707 | | [11] | Kim J S, Goh K I and Kahng B 2007 New J. Phys. 9 177 | | [12] | Zhang H, Hu Y and Lan X 2014 Appl. Soft Comput. 25 514 | | [13] | Sun Y and Zhao Y 2014 Phys. Rev. E 89 042809 | | [14] | Song C, Havlin S and Makse H A 2005 Nature 433 392 | | [15] | Song C, Gallos L K, Havlin S and Makse H A 2005 J. Stat. Mech. 2007 P03006 | | [16] | Wei D J, Liu Q, Zhang H X, Hu Y, Deng Y and Mahadevan S 2013 Sci. Rep. 3 3049 | | [17] | Wang D L, Yu Z G and Anh V 2012 Chin. Phys. B 21 080504 | | [18] | Newman M E J 2004 Phys. Rev. E 70 056131 | | [19] | Opsahl T, Agneessens F and Skvoretz J 2010 Soc. Networks 32 245 | | [20] | Jahanbakhsh K, King V and Shoja G C 2012 Pervasive Mobile Computing 8 698 |
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