articlePhysical Review XDec 4, 2013GOLD OA

Mathematical Formulation of Multilayer Networks

MDManlio De DomenicoASAlbert Solé-RibaltaECEmanuele CozzoMKMikko KiveläYMYamir Moreno

Universidad Rovira i Virgili · Universidad de Zaragoza · +3 more institutions

Indexed inarxivcrossrefdoaj

Abstract

A ``monoplex'' network, like a Facebook-based social network, can be represented by a set of nodes (people) linked by their Facebook connections (interactions). But real-world networks can be ``multiplex,'' with multiple types of interactions and where one type of interaction can influence another. A unifying framework for describing ``multiplex'' networks has been missing so far. Deftly employing the concept of tensors, theorists now present such a framework that will power studies of ``multiplex'' networks across many scientific disciplines.

Citation impact

910
total citations
FWCI
42.45
Percentile
100%
References
68
Citations per year

Authors

8
  • MD
    Manlio De DomenicoCorresponding

    Universidad Rovira i Virgili

  • AS
    Albert Solé-Ribalta

    Universidad Rovira i Virgili

  • EC
    Emanuele Cozzo

    Universidad de Zaragoza

  • MK
    Mikko Kivelä

    University of Oxford, Oxford Applied Research (United Kingdom)

  • YM
    Yamir Moreno

    Institute for Scientific Interchange, Universidad de Zaragoza

Topics & keywords

Topics
Keywords
  • Set (abstract data type)
  • Type (biology)
  • Evolving networks
  • Power (physics)
  • Topology (electrical circuits)
  • Set theory
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