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The Key Role Of Shortcuts Of Small-World Network In Opinion Formation

Author

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  • LONG GUO

    (Complexity Science Center, Institute of Particle Physics, Huazhong Normal University, Wuhan, 430079, P. R. China)

  • XU CAI

    (Complexity Science Center, Institute of Particle Physics, Huazhong Normal University, Wuhan, 430079, P. R. China)

Abstract

In this paper, we analyze the average magnetization and spatial correlation of opinion formation in small-world network and in the regular lattice. We construct NW small-world network through adding shortcuts on the regular lattice. With computer simulation, we find that there exists short- and long-range spatial correlation of the average magnetizationm(t)in NW small-world network and the evolution trend of opinion is dependent on the initial opinion condition by comparing with that in regular lattice. On the other hand, we analyze the average magnetizationm(t)using the time series analysis, and find the Hurst exponentH ≃ 0.5in NW small-world network andH = 0in regular lattice. All the results show the important role of shortcuts in the NW small-world network, which reflects some interesting aspects in our real society indirectly.

Suggested Citation

  • Long Guo & Xu Cai, 2008. "The Key Role Of Shortcuts Of Small-World Network In Opinion Formation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(06), pages 867-873.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:06:n:s012918310801256x
    DOI: 10.1142/S012918310801256X
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