The structure and dynamics of higher-order networks.

高阶网络的结构和动力学。

• 批准号: 2553730
• 金额: --
• 依托单位: King's College London
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2021
• 资助国家: 英国
• 起止时间: 2021 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2553730
• 关键词: structure; dynamics; higher; order; networks.

The topic of this research is the structural and dynamic characteristics of complex networks with higher-order interactions. Specifically, as a complex network with higher-order interactions, we deal with hypergraphs.We extend the clustering coefficient to hypergraph, which is widely used measure for the structural characteristics of complex networks. We call this clustering coefficient as quad clustering coefficient. We find that the distribution of quad clustering coefficients in real-world hypergraphs is different from the distribution of coefficients measured in the hypergraph configuration model, as a null model. Then, we derive analytically the average value of the clustering coefficient of the random hypergraphs.Next, we investigate the percolation properties of various hypergraph configuration models and compare them with real-world hypergraphs. As a result, in the case of the configuration model with preserved degree-cardinality correlation, we confirm that the fraction of the giant component is similar to the real-world hypergraphs, and we derive its fraction analytically.

本研究的主题是具有高阶交互作用的复杂网络的结构和动态特性。具体来说，作为一个具有高阶交互作用的复杂网络，我们处理超图。我们将聚类系数推广到超图，这是复杂网络结构特征的常用度量。我们把这个聚类系数称为四聚类系数。我们发现真实超图中四聚类系数的分布不同于超图组态模型中测量到的系数分布，它是一个空模型。然后，我们解析地导出了随机超图的聚类系数的平均值。接下来，我们研究了各种超图配置模型的渗透特性，并将它们与现实世界的超图进行了比较。因此，在保留度-基数相关性的配置模型中，我们确认了巨分量的分数与现实世界的超图相似，并且我们分析地推导了它的分数。