论文标题
带有链路持久性的冷随机双曲线图的动力学
Dynamics of cold random hyperbolic graphs with link persistence
论文作者
论文摘要
我们考虑并分析具有链接持久性的随机双曲线图的动态模型。在模型中，连接和断开连接都可以从[0，1）$的概率$ω\ ophshot传播到下一个快照。否则，使用概率$ 1-Ω$，根据随机双曲线图模型重新建立连接。我们表明，虽然持久性概率$ω$会影响触点和互操作分布的平均值，但它不会影响这些分布的尾巴，而这些分布的尾巴是随着不依赖$ω$的指数的功率定律而衰减的。我们还考虑了真实的时间网络的示例，我们表明所考虑的模型可以充分再现其几种动力学属性。我们的结果提高了我们对时间网络的现实建模以及链接持久性对时间网络属性的影响的理解。
We consider and analyze a dynamic model of random hyperbolic graphs with link persistence. In the model, both connections and disconnections can be propagated from the current to the next snapshot with probability $ω\in [0, 1)$. Otherwise, with probability $1-ω$, connections are reestablished according to the random hyperbolic graphs model. We show that while the persistence probability $ω$ affects the averages of the contact and intercontact distributions, it does not affect the tails of these distributions, which decay as power laws with exponents that do not depend on $ω$. We also consider examples of real temporal networks, and we show that the considered model can adequately reproduce several of their dynamical properties. Our results advance our understanding of the realistic modeling of temporal networks and of the effects of link persistence on temporal network properties.
