Unanimity Rule on networks
| dc.creator | Lambiotte, Renaud | |
| dc.creator | Thurner, Stefan | |
| dc.creator | Hanel, Rudolf | |
| dc.date | 2006-12-04 | |
| dc.date.accessioned | 2026-07-07T12:07:54Z | |
| dc.date.available | 2026-07-07T12:07:54Z | |
| dc.description | 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. | |
| dc.description | 7 pages 4 figs | |
| dc.identifier | https://arxiv.org/abs/physics/0612025 | |
| dc.identifier | http://arxiv.org/abs/physics/0612025 | |
| dc.identifier | Phys. Rev. E 76, 046101 (2007) | |
| dc.identifier | doi:10.1103/PhysRevE.76.046101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209136 | |
| dc.subject | Physics and Society | |
| dc.title | Unanimity Rule on networks | |
| dc.type | text |