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Updated: Dec 24, 2025

Modeling the Functional Network for Spatial Navigation in the Human Brain
Published on: October 13, 2023
Complex networks in the framework of nonassociative geometry
Alexander I Nesterov1, Pablo Héctor Mata Villafuerte1
1Departamento de Física, CUCEI, Universidad de Guadalajara, Guadalajara, CP 44420, Jalisco, México.
Abstract:
In the framework of a nonassociative geometry, we introduce an 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, and so on.
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