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

An Lu, Chunhua Sun and Yezheng Liu

Discrete Dynamics in Nature and Society, 2017, vol. 2017, 1-7

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:9396824

DOI: 10.1155/2017/9396824

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