Modeling and Statistical Properties Research on Online Real-Time Information Transmission Network

Abstract

In this paper, the model of the online real-time information transmission network, such as wechat, micro-blog, and QQ network, is proposed and built, based on the connection properties between users of the online real-time information transmission network, and combined with the local world evolving characteristics in complex network, then the statistical topological properties of the network is obtained by numerical simulation. Furthermore, we simulated the process of information transmission on the network, according to the actual characteristics of the online real-time information transmission. Statistics show that the degree distribution presents the characteristics of scale free network, presenting power law distribution, while the average path length, the average clustering coefficient and the average size of the network also has a power-law relationship, moreover, the model parameters has no effect on power-law exponent. The spread of information on the network represents obvious fluctuation scaling, reflecting the characteristics that information transmission fluctuates over time.

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Deng, G. and Jia, Z. (2014) Modeling and Statistical Properties Research on Online Real-Time Information Transmission Network. Open Journal of Applied Sciences, 4, 234-241. doi: 10.4236/ojapps.2014.45023.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Albert, R. and Barabasi, A.L. (2000) Topology of Evolving Networks: Local Events and Universality. Physical Review, 85, 5234-5237.
http://dx.doi.org/10.1103/PhysRevLett.85.5234
[2] Yao, Y.Y. and Zhang, Z.H. (2006) Modeling the Instant Messaging Network as a Complex Network. Microcomputer Information, 22, 76.
[3] Albert, R., Jeong, H. and Barabasi, A.L.(2000) Error and Attack Tolerance in Complex Networks. Nature, 406, 387-482.
[4] Goh, K., Kahng, B. and Kim, D. (2002) Fluctuation-Driven Dynamics of the Internet Topology. Physical Review Letters, 88, Article ID: 108701.
http://dx.doi.org/10.1103/PhysRevLett.88.108701
[5] Argollo de Menezes, M. and Baraba’si, A.L. (2004) Fluctuations in Network Dynamics. Physical Review Letters, 92, Article ID: 028701.
[6] Eisler, Z. and Kertesz, J. (2006) Scaling Theory of Temporal Correlations and Size. Physical Review E, 73, Article ID: 046109.
http://dx.doi.org/10.1103/PhysRevE.73.046109
[7] Eisler, Z. Bartos, I. and Kertész, J. (2008) Fluctuation Scaling in Complex Systems: Taylor’s Law and Beyond. Advances in Physics, 57, 89-142.
http://dx.doi.org/10.1080/00018730801893043
[8] Onnela, J.P., Saram, K.J., Hyvnen, J., Szabó, G., Lazer, D. and Kaski, K. (2005) Intensity and Coherence of Motifs in Weighted Complex Networks. Physical Review E, 71, Article ID: 065103.
http://dx.doi.org/10.1103/PhysRevE.71.065103
[9] Duch, J. and Arenas, A. (2005) Community Detection in Complex Networks Using Extremal Optimization. Physical Review, 72, Article ID: 027104.
[10] Han, D.-D., Liu, J.-G. and Ma, Y.-G. (2008) Fluctuation of the Download Network. Chinese Physics Letters, 25, 765-768.
http://dx.doi.org/10.1088/0256-307X/25/2/112
[11] Deng, Q.X., Jia, Z., Xie, M.S. and Chen, Y.F. (2013) Study of Directed Networks-Based Email Virus Propagation Model and Its Concussion Attractor. Acta Physica Sinica, 2, Article ID: 020203.
[12] Ebel, H., Mielsch, L.I. and Bornholdt, S. (2002) Scale-Free Topology of Email Networks. Physical Review E, 66, Article ID: 035103.
[13] Yan, G., Zhou, T.W, Wang, J., et al. (2005) Epidemic Spread in Weighted Scale-Free Networks. Chinese Physics Letters, 22, 510-513.
http://dx.doi.org/10.1088/0256-307X/22/2/068
[14] Zanette, D.H. (2001) Critical Behavior of Propagation on Small-World Networks. Physical Review E, 64, Article ID: 050901.
http://dx.doi.org/10.1103/PhysRevE.64.050901
[15] Zanette, D.H. (2002) Dynamics of Rumor Propagation on Small-World Networks. Physical Review E, 65, Article ID: 041908.
http://dx.doi.org/10.1103/PhysRevE.65.041908
[16] Zhou, J., Liu, Z. and Li, B. (2007) Influence of Network Structure on Rumor Propagation. Physics Letters A, 368, 458-463.
http://dx.doi.org/10.1016/j.physleta.2007.01.094
[17] Liu, Z., Lai, Y.C. and Ye, N. (2003) Propagation and Immunization of Infection on General Networks with Both Homogeneous and Heterogeneous Components. Physical Review E, 67, Article ID: 031911.
http://dx.doi.org/10.1103/PhysRevE.67.031911
[18] Jin, E.M, Michelle, G. and Newman, M.E.J. (2001) Structure of Growing Social Networks. Physics Reviews, 64, Article ID: 046132.
[19] Feldstein, S. (1982) Impression Formation in Dyads: The Temporal Dimension. In: Davis, M., Ed., Interactional Rhythms, Human Sciences Press, New York.
[20] Avrahami, D. and Scott E.H. (2006) Communication Characteristics of Instant Messaging: Effects and Predictions of Interpersonal Relationships. Proceedings of the 20th Anniversary Conference on Computer Supported Cooperative Work, Banff, Alberta, 4-8 November 2006, 505-514.
[21] Li, X. and Chen, G.R. (2003) A Local-World Evolving Network Model. Physica A, 328, 274-296.
http://dx.doi.org/10.1103/PhysRevE.67.031911

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