Cited by 460Complex Network Analysis TechniquesComplex Systems and Time Series AnalysisGraph theory and applications

Ranking in interconnected multilayer networks reveals versatile nodes

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De Domenico, Manlio, Solé-Ribalta, Albert, Omodei, Elisa, Gómez, Sergio, Arenas, Alex·2015·Nature Communications

Abstract

The determination of the most central agents in complex networks is important because they are responsible for a faster propagation of information, epidemics, failures and congestion, among others. A challenging problem is to identify them in networked systems characterized by different types of interactions, forming interconnected multilayer networks. Here we describe a mathematical framework that allows us to calculate centrality in such networks and rank nodes accordingly, finding the ones that play the most central roles in the cohesion of the whole structure, bridging together different types of relations. These nodes are the most versatile in the multilayer network. We investigate empirical interconnected multilayer networks and show that the approaches based on aggregating--or neglecting--the multilayer structure lead to a wrong identification of the most versatile nodes, overestimating the importance of more marginal agents and demonstrating the power of versatility in predicting their role in diffusive and congestion processes.

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Crossref · 10.1038/ncomms7868

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Authors
De Domenico, M., Solé-Ribalta, A., Omodei, E., Gómez, S., & Arenas, A.
Affiliations
  • Centre National de la Recherche Scientifique (FR)
  • Universitat Rovira i Virgili (ES)
Venue
Nature Communications
Published
2015-04-23
Volume
6
Issue
1
Pages
6868-6868
ISSN
2041-1723 (ISSN-L)
OpenAlex
W1606375300
Cited by
459
References
65
Citations by year
2026: 31 · 2025: 32 · 2024: 28 · 2023: 27 · 2022: 39 · 2021: 49 · 2020: 49 · 2019: 45 · 2018: 64 · 2017: 41 · 2016: 37 · 2015: 12 · 2014: 5
FWCI
32.36
Type
journal article
Language
en
Open access
Locations
  • Nature Communications (publishedVersion, cc-by-sa)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • RePEc: Research Papers in Economics (submittedVersion)
  • Padua Research Archive (University of Padova) (submittedVersion, cc-by-sa)
Funders
  • James S. McDonnell Foundation
  • European Commission (317614)
  • Generalitat de Catalunya (2009-SGR-838)
  • Institució Catalana de Recerca i Estudis Avançats
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Complex Network Analysis Techniques
  • Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Complex Systems and Time Series Analysis
  • Physical Sciences › Mathematics › Geometry and Topology › Graph theory and applications
Keywords
node centrality, multilayer networks, interconnected networks, node ranking, diffusion, congestion, information dissemination, epidemic spread, network cohesion

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