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American Physical Society, Physical review E: Statistical, nonlinear, and soft matter physics, 3(75), 2007

DOI: 10.1103/physreve.75.030101

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Majority Model on a network with communities

Journal article published in 2006 by R. Lambiotte ORCID, M. Ausloos, J. A. Holyst
This paper is available in a repository.
This paper is available in a repository.

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Abstract

We focus on the majority model in a topology consisting of two coupled fully-connected networks, thereby mimicking the existence of communities in social networks. We show that a transition takes place at a value of the inter-connectivity parameter. Above this value, only symmetric solutions prevail, where both communities agree with each other and reach consensus. Below this value, in contrast, the communities can reach opposite opinions and an asymmetric state is attained. The importance of the interface between the sub-networks is shown. ; Comment: 4 pages