Unanimity Rule on networks

Details Unanimity Rule on networks Unanimity Rule on networks

2006-12-04

arxiv.org/abs/physics/0612025v1

Phys. Rev. E 76, 046101 (2007)

Physics

Physics and Society

7 pages 4 figs

Scientific paper

10.1103/PhysRevE.76.046101

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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