کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
974168 | 1480137 | 2015 | 7 صفحه PDF | دانلود رایگان |
• A scale-free network model is proposed, which is a random geometric graph built on a time-varying Riemannian manifold.
• The model gives a geometric realization of connections made preferentially to more popular nodes and to more similar nodes.
• The model is used to physically simulate the increasing and connecting phenomena of a type of cancer cell.
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.
Journal: Physica A: Statistical Mechanics and its Applications - Volume 436, 15 October 2015, Pages 492–498