ArticleNature communications2017
Optimal percolation on multiplex networks.
Article in Nature communications, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.
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Who cites it
17 citing papers in PubMed.
- Identifying omic biomarkers for chronic inflammatory diseases associated with periodontitis using percolation on multi-disease gene co-expression networks.Communications medicine · 2026Article
- Modeling resource consumption in the US air transportation system via minimum-cost percolation.Nature communications · 2025Article
- Cross-feeding creates tipping points in microbiome diversity.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Network Dismantling on Signed Network by Evolutionary Deep Reinforcement Learning.Sensors (Basel, Switzerland) · 2024Article
- Robustness Analysis of Multilayer Infrastructure Networks Based on Incomplete Information Stackelberg Game: Considering Cascading Failures.Entropy (Basel, Switzerland) · 2024Article
- Article
- Structural chokepoints determine the resilience of agri-food supply chains in the United States.Nature food · 2023Article
- New approaches to epidemic modeling on networks.Scientific reports · 2023Article
- Vital node identification based on cycle structure in a multiplex network.The European physical journal. B · 2023Article
- Influence maximization in Boolean networks.Nature communications · 2022Article
- Non-selective distribution of infectious disease prevention may outperform risk-based targeting.Nature communications · 2022Article
- Machine learning dismantling and early-warning signals of disintegration in complex systems.Nature communications · 2021Article
- Recovery patterns and physics of the network.PloS one · 2021Article
- Influencer identification in dynamical complex systems.Journal of complex networks · 2020Review
- Local floods induce large-scale abrupt failures of road networks.Nature communications · 2019Article
- Bond percolation in coloured and multiplex networks.Nature communications · 2019Article
- Pre-emptive spectral graph protection strategies on multiplex social networks.Applied network science · 2018Article
Corrections and comments
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Optimal percolation is the problem of finding the minimal set of nodes whose removal from a network fragments the system into non-extensive disconnected clusters. The solution to this problem is important for strategies of immunization in disease spreading, and influence maximization in opinion dynamics. Optimal percolation has received considerable attention in the context of isolated networks. However, its generalization to multiplex networks has not yet been considered. Here we show that approximating the solution of the optimal percolation problem on a multiplex network with solutions valid for single-layer networks extracted from the multiplex may have serious consequences in the characterization of the true robustness of the system. We reach this conclusion by extending many of the methods for finding approximate solutions of the optimal percolation problem from single-layer to multiplex networks, and performing a systematic analysis on synthetic and real-world multiplex 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.