dorsal/arxiv
View SchemaUnanimity Rule on networks
| Authors | Renaud Lambiotte, Stefan Thurner, Rudolf Hanel |
|---|---|
| Categories | |
| ArXiv ID | physics/0612025 |
| URL | https://arxiv.org/abs/physics/0612025 |
| DOI | 10.1103/PhysRevE.76.046101 |
| Journal | Phys. Rev. E 76, 046101 (2007) |
Abstract
We introduce a model for innovation-, evolution- and opinion dynamics whose spreading is dictated by unanimity rules, i.e. a node will change its (binary) state only if all of its neighbours have the same corresponding state. It is shown that a transition takes place depending on the initial condition of the problem. In particular, a critical number of initially activated nodes is needed so that the whole system gets activated in the long-time limit. The influence of the degree distribution of the nodes is naturally taken into account. For simple network topologies we solve the model analytically, the cases of random, small-world and scale-free are studied in detail.
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"abstract": "We introduce a model for innovation-, evolution- and opinion dynamics whose\nspreading is dictated by unanimity rules, i.e. a node will change its (binary)\nstate only if all of its neighbours have the same corresponding state. It is\nshown that a transition takes place depending on the initial condition of the\nproblem. In particular, a critical number of initially activated nodes is\nneeded so that the whole system gets activated in the long-time limit. The\ninfluence of the degree distribution of the nodes is naturally taken into\naccount. For simple network topologies we solve the model analytically, the\ncases of random, small-world and scale-free are studied in detail.",
"arxiv_id": "physics/0612025",
"authors": [
"Renaud Lambiotte",
"Stefan Thurner",
"Rudolf Hanel"
],
"categories": [
"physics.soc-ph"
],
"doi": "10.1103/PhysRevE.76.046101",
"journal_ref": "Phys. Rev. E 76, 046101 (2007)",
"title": "Unanimity Rule on networks",
"url": "https://arxiv.org/abs/physics/0612025"
},
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