Complex Networks in the Framework of Nonassociative Geometry
Physics and Society
2020-03-11 v2 General Relativity and Quantum Cosmology
Abstract
In the framework of on nonassociative geometry, we introduce a new effective model that extends the statistical treatment of complex networks with hidden geometry. The small-world property of the network is controlled by nonlocal curvature in our model. We use this approach to study the Internet as a complex network embedded in a hyperbolic space. The model yields a remarkable agreement with available empirical data and explains features of Internet connectance data that other models cannot. Our approach offers a new avenue for the study of a wide class of complex networks, such as air transport, social networks, biological networks, etc.
Cite
@article{arxiv.1812.10865,
title = {Complex Networks in the Framework of Nonassociative Geometry},
author = {Alexander I. Nesterov and Pablo Héctor Mata Villafuerte},
journal= {arXiv preprint arXiv:1812.10865},
year = {2020}
}
Comments
22 pages, 15 figures, accepted version