Node-layer duality in networked systems
Abstract
Real-world networks typically exhibit several aspects, or layers, of interactions among their nodes. By permuting the role of the nodes and the layers, we establish a new criterion to construct the dual of a network. This approach allows to examine information from either a node-centric or layer-centric viewpoint. Through rigorous analytical methods and extensive simulations, we demonstrate that nodewise and layerwise connectivity measure different but related aspects of the same system. Leveraging node-layer duality provides complementary insights, enabling a deeper comprehension of diverse networks across social science, technology and biology. Taken together, these findings reveal previously unappreciated features of complex systems and provide a fresh tool for delving into their structure and dynamics.
Cite
@article{arxiv.2306.12136,
title = {Node-layer duality in networked systems},
author = {Charley Presigny and Marie-Constance Corsi and Fabrizio De Vico Fallani},
journal= {arXiv preprint arXiv:2306.12136},
year = {2024}
}