Hyperedge overlap drives explosive transitions in systems with higher-order interactions
Abstract 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 t...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-01-01
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| Series: | Nature Communications |
| Online Access: | https://doi.org/10.1038/s41467-024-55506-1 |
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| author | Federico Malizia Santiago Lamata-Otín Mattia Frasca Vito Latora Jesús Gómez-Gardeñes |
| author_facet | Federico Malizia Santiago Lamata-Otín Mattia Frasca Vito Latora Jesús Gómez-Gardeñes |
| author_sort | Federico Malizia |
| collection | DOAJ |
| description | Abstract 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. |
| format | Article |
| id | doaj-art-fd55d597a9d942a5b04407a06063440b |
| institution | Kabale University |
| issn | 2041-1723 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Nature Communications |
| spelling | doaj-art-fd55d597a9d942a5b04407a06063440b2025-01-12T12:30:45ZengNature PortfolioNature Communications2041-17232025-01-0116111010.1038/s41467-024-55506-1Hyperedge overlap drives explosive transitions in systems with higher-order interactionsFederico Malizia0Santiago Lamata-Otín1Mattia Frasca2Vito Latora3Jesús Gómez-Gardeñes4Network Science Institute, Northeastern University LondonDepartment of Condensed Matter Physics, University of ZaragozaDepartment of Electrical, Electronics and Computer Science Engineering, University of CataniaDepartment of Physics and Astronomy, University of CataniaDepartment of Condensed Matter Physics, University of ZaragozaAbstract 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.https://doi.org/10.1038/s41467-024-55506-1 |
| spellingShingle | Federico Malizia Santiago Lamata-Otín Mattia Frasca Vito Latora Jesús Gómez-Gardeñes Hyperedge overlap drives explosive transitions in systems with higher-order interactions Nature Communications |
| title | Hyperedge overlap drives explosive transitions in systems with higher-order interactions |
| title_full | Hyperedge overlap drives explosive transitions in systems with higher-order interactions |
| title_fullStr | Hyperedge overlap drives explosive transitions in systems with higher-order interactions |
| title_full_unstemmed | Hyperedge overlap drives explosive transitions in systems with higher-order interactions |
| title_short | Hyperedge overlap drives explosive transitions in systems with higher-order interactions |
| title_sort | hyperedge overlap drives explosive transitions in systems with higher order interactions |
| url | https://doi.org/10.1038/s41467-024-55506-1 |
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