ArticleNature communications2015
Navigable networks as Nash equilibria of navigation games.
Article in Nature communications, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 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.
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Who cites it
17 citing papers in PubMed.
- Human cortical networks trade communication efficiency for computational reliability.Science advances · 2026Article
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- The inherent community structure of hyperbolic networks.Scientific reports · 2021Article
- Optimisation of the coalescent hyperbolic embedding of complex networks.Scientific reports · 2021Article
- Geometric renormalization unravels self-similarity of the multiscale human connectome.Proceedings of the National Academy of Sciences of the United States of America · 2020Article
- Structural optimality and neurogenetic expression mediate functional dynamics in the human brain.Human brain mapping · 2020Article
- Signal propagation via cortical hierarchies.Network neuroscience (Cambridge, Mass.) · 2020Article
- Reply to Muscoloni and Cannistraci: Navigation performance measures.Proceedings of the National Academy of Sciences of the United States of America · 2019Article
- Navigation of brain networks.Proceedings of the National Academy of Sciences of the United States of America · 2018Article
- Communication dynamics in complex brain networks.Nature reviews. Neuroscience · 2017Review
- Small-World Brain Networks Revisited.The Neuroscientist : a review journal bringing neurobiology, neurology and psychiatry · 2017Review
- Navigability of Random Geometric Graphs in the Universe and Other Spacetimes.Scientific reports · 2017Article
- Interplay between social influence and competitive strategical games in multiplex networks.Scientific reports · 2017Article
- Collective navigation of complex networks: Participatory greedy routing.Scientific reports · 2017Article
- Geometric explanation of the rich-club phenomenon in complex networks.Scientific reports · 2017Article
- The geometric nature of weights in real complex networks.Nature communications · 2017Article
- Article
Corrections and comments
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Authors and funding
5 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Common sense suggests that networks are not random mazes of purposeless connections, but that these connections are organized so that networks can perform their functions well. One function common to many networks is targeted transport or navigation. Here, using game theory, we show that minimalistic networks designed to maximize the navigation efficiency at minimal cost share basic structural properties with real networks. These idealistic networks are Nash equilibria of a network construction game whose purpose is to find an optimal trade-off between the network cost and navigability. We show that these skeletons are present in the Internet, metabolic, English word, US airport, Hungarian road networks, and in a structural network of the human brain. The knowledge of these skeletons allows one to identify the minimal number of edges, by altering which one can efficiently improve or paralyse navigation in the network.
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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.