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The Impact of Community Structure on the Convergence Time of Opinion Dynamics

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  • An Lu
  • Chunhua Sun
  • Yezheng Liu

Abstract

We analyze the convergence time of opinion dynamics in a social network with community structure. Using matrix analysis, we prove that the convergence time is determined by the second largest eigenvalue modulus. This modulus is close to 1 if the social influence matrix is nearly uncoupled. Furthermore, we discuss and analyze the factors of community structure affecting the convergence time.

Suggested Citation

  • An Lu & Chunhua Sun & Yezheng Liu, 2017. "The Impact of Community Structure on the Convergence Time of Opinion Dynamics," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-7, June.
    • Handle: RePEc:hin:jnddns:9396824
    DOI: 10.1155/2017/9396824
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    Cited by:

    1. Baldassarri, Simone & Gallo, Anna & Jacquier, Vanessa & Zocca, Alessandro, 2023. "Ising model on clustered networks: A model for opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).

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