Beranek Ladislav, Remes Radim
Department of Applied Mathematics and Informatics, Faculty of Economics, University of South Bohemia, 37005 Ceske Budejovice, Czech Republic.
Entropy (Basel). 2020 Feb 25;22(3):263. doi: 10.3390/e22030263.
Many real-world networks have a natural tripartite structure. Investigating the structure and the behavior of actors in these networks is useful to gain a deeper understanding of their behavior and dynamics. In our paper, we describe an evolving tripartite network using a network model with preferential growth mechanisms and different rules for changing the strength of nodes and the weights of edges. We analyze the characteristics of the strength distribution and behavior of selected nodes and selected actors in this tripartite network. The distributions of these analyzed characteristics follow the power-law under different modeled conditions. Performed simulations have confirmed all these results. Despite its simplicity, the model expresses well the basic properties of the modeled network. It can provide further insights into the behavior of systems with more complex behaviors, such as the multi-actor e-commerce system that we have used as a real basis for the validation of our model.
许多现实世界的网络具有天然的三方结构。研究这些网络中参与者的结构和行为,有助于更深入地理解其行为和动态。在我们的论文中,我们使用一个具有优先增长机制以及改变节点强度和边权重的不同规则的网络模型,来描述一个演化的三方网络。我们分析了这个三方网络中选定节点和选定参与者的强度分布特征及行为。在不同的建模条件下,这些分析特征的分布遵循幂律。所进行的模拟证实了所有这些结果。尽管该模型很简单,但它很好地表达了所建模网络的基本属性。它可以为具有更复杂行为的系统的行为提供进一步的见解,比如我们用作模型验证实际基础的多参与者电子商务系统。