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Node-layer duality in networked systems

Author

Listed:
  • Charley Presigny

    (Hôpital de la Pitié Salpêtrière)

  • Marie-Constance Corsi

    (Hôpital de la Pitié Salpêtrière)

  • Fabrizio De Vico Fallani

    (Hôpital de la Pitié Salpêtrière)

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 connectivity 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.

Suggested Citation

  • Charley Presigny & Marie-Constance Corsi & Fabrizio De Vico Fallani, 2024. "Node-layer duality in networked systems," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-50176-5
    DOI: 10.1038/s41467-024-50176-5
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    References listed on IDEAS

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