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

Zheng Xie, Jiang Zhu, Dexing Kong and Jianping Li

Physica A: Statistical Mechanics and its Applications, 2015, vol. 436, issue C, 492-498

Abstract: 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.

Keywords: Geometric graph; Complex network; Scale-free network; Modeling; Cancer cell; Network evolution (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:436:y:2015:i:c:p:492-498

DOI: 10.1016/j.physa.2015.05.076

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