论文标题
基本方程式的封闭式解决方案描述了在线社交网络中的用户动态
Closed-Form Solutions of the Fundamental Equation That Describes User Dynamics in Online Social Networks
论文作者
论文摘要
基于网络上的波方程的振荡模型可以描述在线社交网络中的用户动态。可以将用户动力学的基本方程式引入振荡模型中，以明确描述某些特定网络结构产生的用户动态的因果关系。此外，通过考虑在线社交网络的稀疏性，已经设计了一种新颖的基本方程式。在本文中，我们得出了新基本方程的封闭式解决方案。另外，我们发现新基本方程的封闭形式解决方案可以生成原始波方程的一般解。
The oscillation model, based on the wave equation on networks, can describe user dynamics in online social networks. The fundamental equation of user dynamics can be introduced into the oscillation model to explicitly describe the causal relation of user dynamics yielded by certain specific network structures. Moreover, by considering the sparseness of online social networks, a novel fundamental equation of different form has been devised. In this paper, we derive a closed-form solution of the new fundamental equation. Also, we find the closed-form solution of the new fundamental equation can generate the general solution of the original wave equation.
