网络一致性规则
Unanimity Rule on networks
摘要：
我们介绍了一个模型的创新，进化和观点动力学的传播是由一致性规则，即一个节点将改变其（二进制）状态，只有当它的邻居有相同的相应状态。它示出的过渡发生依赖于问题的初始条件。特别地，需要临界数量的初始激活节点，使得整个系统在长时间限制内被激活。节点的度分布的影响自然被考虑在内。对于简单的网络拓扑，我们解析求解模型，随机，小世界和无标度的情况下进行了详细的研究。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
