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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Edge directionality properties in complex spherical networks

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Wolf, Frederik [1, 2] ; Kirsch, Catrin [2, 3] ; Donner, V, Reik
Total Authors: 3
[1] Humboldt Univ, Dept Phys, Newtonstr 15, D-12489 Berlin - Germany
[2] V, Potsdam Inst Climate Impact Res PIK, Leibnitz Assoc, Telegrafenberg A31, D-14473 Potsdam - Germany
[3] Free Univ, Inst Meteorol, Carl Heinrich Becker Weg 6-10, D-12165 Berlin - Germany
Total Affiliations: 3
Document type: Journal article
Source: Physical Review E; v. 99, n. 1 JAN 2 2019.
Web of Science Citations: 1

Spatially embedded networks have attracted increasing attention in the past decade. In this context, network characteristics have been introduced which explicitly take spatial information into account. Among others, edge directionality properties have recently gained particular interest. In this work, we investigate the applicability of mean edge direction, anisotropy, and local mean angle as geometric characteristics in complex spherical networks. By studying these measures, both analytically and numerically, we demonstrate the existence of a systematic bias in spatial networks where individual nodes represent different shares on a spherical surface, and we describe a strategy for correcting for this effect. Moreover, we illustrate the application of the mentioned edge directionality properties to different examples of real-world spatial networks in spherical geometry (with or without the geometric correction depending on each specific case), including functional climate networks, transportation, and trade networks. In climate networks, our approach highlights relevant patterns, such as largescale circulation cells, the El Nino-Southern Oscillation, and the Atlantic Nino. In an air transportation network, we are able to characterize distinct air transportation zones, while we confirm the important role of the European Union for the global economy by identifying convergent edge directionality patterns in the world trade network. (AU)

FAPESP's process: 11/50151-0 - Dynamical phenomena in complex networks: fundamentals and applications
Grantee:Elbert Einstein Nehrer Macau
Support type: Research Projects - Thematic Grants