Unanimity Rule on networks

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.

7 pages 4 figs

References in corpus (2)

• Majority Model on a network with communities
• How does degree heterogeneity affect an order-disorder transition?

Cited by in corpus (4)

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• Communities, Knowledge Creation, and Information Diffusion
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