ArticleNature communications2017
The geometric nature of weights in real complex 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 22 papers.
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Who cites it
22 citing papers in PubMed.
- Community detection in hypergraphs through hyperedge percolation.Scientific reports · 2025Article
- The multiscale self-similarity of the weighted human brain connectome.PLoS computational biology · 2025Article
- Pertinence of contact duration as edge feature for epidemic spread analysis.Scientific reports · 2025Article
- Interplay between tie strength and neighbourhood topology in complex networks.Scientific reports · 2024Article
- The D-Mercator method for the multidimensional hyperbolic embedding of real networks.Nature communications · 2023Article
- Article
- Hyperbolic disc embedding of functional human brain connectomes using resting-state fMRI.Network neuroscience (Cambridge, Mass.) · 2022Article
- The inherent community structure of hyperbolic networks.Scientific reports · 2021Article
- Random Walks with Invariant Loop Probabilities: Stereographic Random Walks.Entropy (Basel, Switzerland) · 2021Article
- An Extended Correlation Dimension of Complex Networks.Entropy (Basel, Switzerland) · 2021Article
- Scaling up real networks by geometric branching growth.Proceedings of the National Academy of Sciences of the United States of America · 2021Article
- Optimisation of the coalescent hyperbolic embedding of complex networks.Scientific reports · 2021Article
- Explaining the emergence of complex networks through log-normal fitness in a Euclidean node similarity space.Scientific reports · 2021Article
- Impact of individual actions on the collective response of social systems.Scientific reports · 2020Article
- The heterogeneity in link weights may decrease the robustness of real-world complex weighted networks.Scientific reports · 2019Article
- Clinical Personal Connectomics Using Hybrid PET/MRI.Nuclear medicine and molecular imaging · 2019Article
- Unfolding the Complexity of the Global Value Chain: Strength and Entropy in the Single-Layer, Multiplex, and Multi-Layer International Trade Networks.Entropy (Basel, Switzerland) · 2018Article
- Navigation of brain networks.Proceedings of the National Academy of Sciences of the United States of America · 2018Article
- Topological estimation of signal flow in complex signaling networks.Scientific reports · 2018Article
- Navigability of temporal networks in hyperbolic space.Scientific reports · 2017Article
Corrections and comments
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The topology of many real complex networks has been conjectured to be embedded in hidden metric spaces, where distances between nodes encode their likelihood of being connected. Besides of providing a natural geometrical interpretation of their complex topologies, this hypothesis yields the recipe for sustainable Internet's routing protocols, sheds light on the hierarchical organization of biochemical pathways in cells, and allows for a rich characterization of the evolution of international trade. Here we present empirical evidence that this geometric interpretation also applies to the weighted organization of real complex networks. We introduce a very general and versatile model and use it to quantify the level of coupling between their topology, their weights and an underlying metric space. Our model accurately reproduces both their topology and their weights, and our results suggest that the formation of connections and the assignment of their magnitude are ruled by different processes.
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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.