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Spatial networks have recently attracted great interest in various fields of research. While the traditional network-theoretic viewpoint is commonly restricted to their topological characteristics (often disregarding existing spatial constraints), this work takes a geometric perspective, which considers vertices and edges as objects in a metric space and quantifies the corresponding spatial distribution and alignment. For this purpose, we introduce the concept of edge anisotropy and define a class of measures characterizing the spatial directedness of connections. Specifically, we demonstrate that the local anisotropy of edges incident to a given vertex provides useful information about the local geometry of geophysical flows based on networks constructed from spatio-temporal data, which is complementary to topological characteristics of the same flow networks. Taken both structural and geometric viewpoints together can thus assist the identification of underlying flow structures from observations of scalar variables.
Research news | 2017-10-19
The starting point for a rethink on how we produce our food
Research news | 2017-10-18
Beatrice Crona awarded fellowship in new leadership programme on global health
Research news | 2017-10-16
How investments in solar energy go beyond access to electricity to positively affect people’s life expectancy and years of schooling
Research news | 2017-10-12
Stockholm Resilience Centre acts as impact partner for their Global Solutions Program
Research news | 2017-10-11
How pro-environmental interest groups were able to push for reforms of the EU Common Fisheries Policy
Educational news | 2017-10-02
Introducing our new executive programme in resilience thinking