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- Publisher Website: 10.1038/s41467-018-04978-z
- Scopus: eid_2-s2.0-85049190855
- PMID: 29950619
- WOS: WOS:000436540700019
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Article: From the betweenness centrality in street networks to structural invariants in random planar graphs
Title | From the betweenness centrality in street networks to structural invariants in random planar graphs |
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Authors | |
Issue Date | 2018 |
Citation | Nature Communications, 2018, v. 9, n. 1, article no. 2501 How to Cite? |
Abstract | The betweenness centrality, a path-based global measure of flow, is a static predictor of congestion and load on networks. Here we demonstrate that its statistical distribution is invariant for planar networks, that are used to model many infrastructural and biological systems. Empirical analysis of street networks from 97 cities worldwide, along with simulations of random planar graph models, indicates the observed invariance to be a consequence of a bimodal regime consisting of an underlying tree structure for high betweenness nodes, and a low betweenness regime corresponding to loops providing local path alternatives. Furthermore, the high betweenness nodes display a non-trivial spatial clustering with increasing spatial correlation as a function of the edge-density. Our results suggest that the spatial distribution of betweenness is a more accurate discriminator than its statistics for comparing static congestion patterns and its evolution across cities as demonstrated by analyzing 200 years of street data for Paris. |
Persistent Identifier | http://hdl.handle.net/10722/317069 |
PubMed Central ID | |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Kirkley, Alec | - |
dc.contributor.author | Barbosa, Hugo | - |
dc.contributor.author | Barthelemy, Marc | - |
dc.contributor.author | Ghoshal, Gourab | - |
dc.date.accessioned | 2022-09-19T06:18:44Z | - |
dc.date.available | 2022-09-19T06:18:44Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | Nature Communications, 2018, v. 9, n. 1, article no. 2501 | - |
dc.identifier.uri | http://hdl.handle.net/10722/317069 | - |
dc.description.abstract | The betweenness centrality, a path-based global measure of flow, is a static predictor of congestion and load on networks. Here we demonstrate that its statistical distribution is invariant for planar networks, that are used to model many infrastructural and biological systems. Empirical analysis of street networks from 97 cities worldwide, along with simulations of random planar graph models, indicates the observed invariance to be a consequence of a bimodal regime consisting of an underlying tree structure for high betweenness nodes, and a low betweenness regime corresponding to loops providing local path alternatives. Furthermore, the high betweenness nodes display a non-trivial spatial clustering with increasing spatial correlation as a function of the edge-density. Our results suggest that the spatial distribution of betweenness is a more accurate discriminator than its statistics for comparing static congestion patterns and its evolution across cities as demonstrated by analyzing 200 years of street data for Paris. | - |
dc.language | eng | - |
dc.relation.ispartof | Nature Communications | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.title | From the betweenness centrality in street networks to structural invariants in random planar graphs | - |
dc.type | Article | - |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1038/s41467-018-04978-z | - |
dc.identifier.pmid | 29950619 | - |
dc.identifier.pmcid | PMC6021391 | - |
dc.identifier.scopus | eid_2-s2.0-85049190855 | - |
dc.identifier.volume | 9 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | article no. 2501 | - |
dc.identifier.epage | article no. 2501 | - |
dc.identifier.eissn | 2041-1723 | - |
dc.identifier.isi | WOS:000436540700019 | - |