ArticleNature communications2025
A small set of critical hyper-motifs governs heterogeneous flow-weighted network resilience.
Article in Nature communications, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
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Who cites it
2 citing papers in PubMed.
- Network hypermotifs in biological systems: structure, dynamics, and functional implications.NPJ systems biology and applications · 2026Review
- A security-oriented four-factor spatio-temporal framework for assessing and mitigating traffic congestion risks.Scientific reports · 2026Article
Corrections and comments
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Authors and funding
7 authors.
Funding
Abstract
Flow-weighted networks are widespread in real-world systems, capturing the essence of flow interactions among various entities. Examples are food webs, social networks, transportation systems, and financial transactions. These networks are vulnerable to degradation when subjected to disturbances, often triggering cascading failures that severely impact their functionality. Despite their importance and recent advancements, the underlying mechanisms driving network degradation-from functional to dysfunctional states due to structural changes-remain poorly understood. In this study, we present a resilience analysis framework for flow-weighted networks. Our approach begins with constructing a hypergraph that encodes cascading failures through hyperedges. We then apply percolation theory to examine phase transitions and identify stable hyper-motifs throughout the degradation process. Our numerical simulations demonstrate that this framework discovers the Black Swan nodes in flow-weighted networks and provides a comprehensive resilience assessment. Our resilience analysis framework offers theoretical support for enhancing network resilience, suppressing rumor spread, preventing economic collapses, reducing traffic congestion, and improving ecological stability-ultimately fostering a more resilient and sustainable society.
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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.