dorsal/arxiv
View SchemaMajority Model on a network with communities
| Authors | R. Lambiotte, M. Ausloos, J. Holyst |
|---|---|
| Categories | |
| ArXiv ID | physics/0612146 |
| URL | https://arxiv.org/abs/physics/0612146 |
| DOI | 10.1103/PhysRevE.75.030101 |
| Journal | Phys. Rev. E 75, 030101(R) (2007) |
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.
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"abstract": "We focus on the majority model in a topology consisting of two coupled\nfully-connected networks, thereby mimicking the existence of communities in\nsocial networks. We show that a transition takes place at a value of the\ninter-connectivity parameter. Above this value, only symmetric solutions\nprevail, where both communities agree with each other and reach consensus.\nBelow this value, in contrast, the communities can reach opposite opinions and\nan asymmetric state is attained. The importance of the interface between the\nsub-networks is shown.",
"arxiv_id": "physics/0612146",
"authors": [
"R. Lambiotte",
"M. Ausloos",
"J. Holyst"
],
"categories": [
"physics.soc-ph"
],
"doi": "10.1103/PhysRevE.75.030101",
"journal_ref": "Phys. Rev. E 75, 030101(R) (2007)",
"title": "Majority Model on a network with communities",
"url": "https://arxiv.org/abs/physics/0612146"
},
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