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Dual communities in spatial networks

Author

Listed:
  • Franz Kaiser

    (Forschungszentrum Jülich, Institute for Energy and Climate Research (IEK-STE)
    Institute for Theoretical Physics, University of Cologne)

  • Philipp C. Böttcher

    (Forschungszentrum Jülich, Institute for Energy and Climate Research (IEK-STE))

  • Henrik Ronellenfitsch

    (Williams College
    Massachusetts Institute of Technology)

  • Vito Latora

    (School of Mathematical Sciences, Queen Mary University of London
    Università di Catania and INFN
    Complexity Science Hub Vienna)

  • Dirk Witthaut

    (Forschungszentrum Jülich, Institute for Energy and Climate Research (IEK-STE)
    Institute for Theoretical Physics, University of Cologne)

Abstract

Both human-made and natural supply systems, such as power grids and leaf venation networks, are built to operate reliably under changing external conditions. Many of these spatial networks exhibit community structures. Here, we show that a relatively strong connectivity between the parts of a network can be used to define a different class of communities: dual communities. We demonstrate that traditional and dual communities emerge naturally as two different phases of optimized network structures that are shaped by fluctuations and that they both suppress failure spreading, which underlines their importance in understanding the shape of real-world supply networks.

Suggested Citation

  • Franz Kaiser & Philipp C. Böttcher & Henrik Ronellenfitsch & Vito Latora & Dirk Witthaut, 2022. "Dual communities in spatial networks," Nature Communications, Nature, vol. 13(1), pages 1-12, December.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-34939-6
    DOI: 10.1038/s41467-022-34939-6
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    References listed on IDEAS

    as
    1. Franz Kaiser & Vito Latora & Dirk Witthaut, 2021. "Network isolators inhibit failure spreading in complex networks," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
    2. Henrik Ronellenfitsch & Jana Lasser & Douglas C Daly & Eleni Katifori, 2015. "Topological Phenotypes Constitute a New Dimension in the Phenotypic Space of Leaf Venation Networks," PLOS Computational Biology, Public Library of Science, vol. 11(12), pages 1-12, December.
    3. Robert J. Fletcher & Andre Revell & Brian E. Reichert & Wiley M. Kitchens & Jeremy D. Dixon & James D. Austin, 2013. "Network modularity reveals critical scales for connectivity in ecology and evolution," Nature Communications, Nature, vol. 4(1), pages 1-7, December.
    4. Roger Guimerà & Luís A. Nunes Amaral, 2005. "Functional cartography of complex metabolic networks," Nature, Nature, vol. 433(7028), pages 895-900, February.
    5. Franz Kaiser & Henrik Ronellenfitsch & Dirk Witthaut, 2020. "Discontinuous transition to loop formation in optimal supply networks," Nature Communications, Nature, vol. 11(1), pages 1-11, December.
    6. Schaub, Michael T. & Lehmann, Jörg & Yaliraki, Sophia N. & Barahona, Mauricio, 2014. "Structure of complex networks: Quantifying edge-to-edge relations by failure-induced flow redistribution," Network Science, Cambridge University Press, vol. 2(1), pages 66-89, April.
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    Cited by:

    1. 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.

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