Hyperedge overlap drives explosive transitions in systems with higher-order interactions

Malizia, Federico ; Lamata-Otín, Santiago (Universidad de Zaragoza) ; Frasca, Mattia ; Latora, Vito ; Gómez-Gardeñes, Jesús (Universidad de Zaragoza)

Resumen: Recent studies have shown that novel collective behaviors emerge in complex systems due to the presence of higher-order interactions. However, how the collective behavior of a system is influenced by the microscopic organization of its higher-order interactions is not fully understood. In this work, we introduce a way to quantify the overlap among the hyperedges of a higher-order network, and we show that real-world systems exhibit different levels of intra-order hyperedge overlap. We then study two types of dynamical processes on higher-order networks, namely complex contagion and synchronization, finding that intra-order hyperedge overlap plays a universal role in determining the collective behavior in a variety of systems. Our results demonstrate that the presence of higher-order interactions alone does not guarantee abrupt transitions. Rather, explosivity and bistability require a microscopic organization of the structure with a low value of intra-order hyperedge overlap.

Idioma: Inglés

DOI: 10.1038/s41467-024-55506-1

Año: 2025

Publicado en: Nature communications 16, 1 (2025), 555 [10 pp.]
ISSN: 2041-1723

Financiación: info:eu-repo/grantAgreement/ES/DGA/E36-23R-FENOL
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2020-113582GB-I00
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PID2023-147734NB-I00

Tipo y forma: Article (Published version)

Área (Departamento): Área Física Materia Condensada (Dpto. Física Materia Condensa.)