Majority Model on a network with communities

Details Majority Model on a network with communities Majority Model on a network with communities

2006-12-14

arxiv.org/abs/physics/0612146v3

Phys. Rev. E 75, 030101(R) (2007)

Physics

Physics and Society

4 pages

Scientific paper

10.1103/PhysRevE.75.030101

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.

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