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Majority model on a network with communities

2006/12/31 by Renaud Lambiotte, R. Lambiotte, Marcel Ausloos +3 · 4 citations
Physics and Astronomy · #Complex Network Analysis Techniques #Opinion Dynamics and Social Influence #Quantum many-body systems #physics.soc-ph

paper · pdf · doi:10.1103/physreve.75.030101

published as Phys. Rev. E 75, 030101(R) (2007) · 4 pages

arxiv created 2007/02/09 · openalex publication_date 2007/03/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 interconnectivity 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 subnetworks is shown.

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