A random geometric graph built on a time-varying Riemannian manifold

作者：Xie, Zheng; Zhu, Jiang; Kong, Dexing^*; Li, Jianping

来源：Physica A: Statistical Mechanics and Its Applications , 2015, 436: 492-498.

DOI：10.1016/j.physa.2015.05.076

• Geometric graph
• Complex network
• Scale-free network
• Modeling
• Cancer cell
• Network evolution

The theory of random geometric graph enables the study of complex networks through geometry. To analyze evolutionary networks, time-varying geometries are needed. Solutions of the generalized hyperbolic geometric flow are such geometries. Here we propose a scale-free network model, which is a random geometric graph on a two dimensional disc. The metric of the disc is a Ricci flat solution of the flow. The model is used to physically simulate the growth and aggregation of a type of cancer cell.

• 出版日期2015-10-15
• 单位浙江大学; 中国人民解放军国防科学技术大学