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Hyper-cores promote localization and efficient seeding in higher-order processes

Author

Listed:
  • Marco Mancastroppa

    (Aix Marseille Univ, Université de Toulon, CNRS, CPT, Turing Center for Living Systems)

  • Iacopo Iacopini

    (Northeastern University London
    Central European University)

  • Giovanni Petri

    (Northeastern University London
    CENTAI)

  • Alain Barrat

    (Aix Marseille Univ, Université de Toulon, CNRS, CPT, Turing Center for Living Systems)

Abstract

Going beyond networks, to include higher-order interactions of arbitrary sizes, is a major step to better describe complex systems. In the resulting hypergraph representation, tools to identify structures and central nodes are scarce. We consider the decomposition of a hypergraph in hyper-cores, subsets of nodes connected by at least a certain number of hyperedges of at least a certain size. We show that this provides a fingerprint for data described by hypergraphs and suggests a novel notion of centrality, the hypercoreness. We assess the role of hyper-cores and nodes with large hypercoreness in higher-order dynamical processes: such nodes have large spreading power and spreading processes are localized in central hyper-cores. Additionally, in the emergence of social conventions very few committed individuals with high hypercoreness can rapidly overturn a majority convention. Our work opens multiple research avenues, from comparing empirical data to model validation and study of temporally varying hypergraphs.

Suggested Citation

  • Marco Mancastroppa & Iacopo Iacopini & Giovanni Petri & Alain Barrat, 2023. "Hyper-cores promote localization and efficient seeding in higher-order processes," Nature Communications, Nature, vol. 14(1), pages 1-12, December.
    • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-41887-2
    DOI: 10.1038/s41467-023-41887-2
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    References listed on IDEAS

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