论文标题
增长双曲线网络的最大模块化结构
Maximally modular structure of growing hyperbolic networks
论文作者
论文摘要
双曲线模型非常擅长重现代表真正简单的框架中实际复杂系统的网络的无标度，高度聚集和小世界属性。在这里，我们表明，对于该家族的普及相似性优化模型，尽管在模型定义中缺乏任何明确的社区形成机制，但生成的网络在热力学极限上也变得非常模块化。根据我们的分析结果，由数值模拟支持，当系统大小增加时，模块化的速度令人惊讶地快。
Hyperbolic models are remarkably good at reproducing the scale-free, highly clustered and small-world properties of networks representing real complex systems in a very simple framework. Here we show that for the popularity-similarity optimization model from this family, the generated networks become also extremely modular in the thermodynamic limit, in spite of lacking any explicit community formation mechanism in the model definition. According to our analytical results supported by numerical simulations, when the system size is increased, the modularity approaches one surprisingly fast.
