ArticleNature communications2023
The dynamic nature of percolation on networks with triadic interactions.
Article in Nature communications, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
What it found
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Who cites it
14 citing papers in PubMed.
- Temporal self-similarity reveals percolation universality classes in complex networks.Nature communications · 2026Article
- Astrocyte-mediated higher-order control of synaptic plasticity.Communications biology · 2026Article
- Homophily within and across groups.Nature communications · 2025Article
- Mining higher-order triadic interactions.Nature communications · 2025Article
- Hypergraph reconstruction from dynamics.Nature communications · 2025Article
- Hybrid universality classes of systemic cascades.Nature communications · 2025Article
- Network dismantling by physical damage.Communications physics · 2025Article
- Biological detail and graph structure in network neuroscience.Frontiers in network physiology · 2025Review
- A formal approach to the hierarchical structures of microbial communities with negative interactions.Computational and structural biotechnology journal · 2025Article
- Triadic percolation induces dynamical topological patterns in higher-order networks.PNAS nexus · 2024Article
- Article
- Percolation Theories for Quantum Networks.Entropy (Basel, Switzerland) · 2023Review
- Neuroscience Needs Network Science.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2023Article
- Neuroscience needs Network Science.ArXiv · 2023Article
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
Percolation establishes the connectivity of complex networks and is one of the most fundamental critical phenomena for the study of complex systems. On simple networks, percolation displays a second-order phase transition; on multiplex networks, the percolation transition can become discontinuous. However, little is known about percolation in networks with higher-order interactions. Here, we show that percolation can be turned into a fully fledged dynamical process when higher-order interactions are taken into account. By introducing signed triadic interactions, in which a node can regulate the interactions between two other nodes, we define triadic percolation. We uncover that in this paradigmatic model the connectivity of the network changes in time and that the order parameter undergoes a period doubling and a route to chaos. We provide a general theory for triadic percolation which accurately predicts the full phase diagram on random graphs as confirmed by extensive numerical simulations. We find that triadic percolation on real network topologies reveals a similar phenomenology. These results radically change our understanding of percolation and may be used to study complex systems in which the functional connectivity is changing in time dynamically and in a non-trivial way, such as in neural and climate networks.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.