Multilayer Networks: Metrics and Spectral Properties

  • Emanuele CozzoEmail author
  • Guilherme Ferraz de Arruda
  • Francisco A. Rodrigues
  • Yamir Moreno
Part of the Understanding Complex Systems book series (UCS)


Multilayer networks represent systems in which there are several topological levels each one representing one kind of interaction or interdependency between the systems’ elements. These networks have attracted a lot of attention recently because their study allows considering different dynamical modes concurrently. Here, we revise the main concepts and tools developed up to date. Specifically, we focus on several metrics for multilayer network characterization as well as on the spectral properties of the system, which ultimately enable for the dynamical characterization of several critical phenomena. The theoretical framework is also applied for description of real-world multilayer systems.


Multiplex Networks Topological Level Coupling Graph Epidemic Spreading Process Online Social Networks (OSNs) 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



EC was supported by the FPI program of the Government of Aragon, Spain. This work has been partially supported by MINECO through Grant FIS2011-25167 to YM, Comunidad de Aragón (Spain) through FENOL to EC and YM; and by the EC FET-Proactive Project PLEXMATH (grant 317614) to YM. FAR and GAF thank Fapesp and CNPq for financial support give to this research.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Emanuele Cozzo
    • 1
    • 2
    Email author
  • Guilherme Ferraz de Arruda
    • 3
  • Francisco A. Rodrigues
    • 3
  • Yamir Moreno
    • 1
    • 2
    • 4
  1. 1.Institute for Biocomputation and Physics of Complex Systems (BIFI)ZaragozaSpain
  2. 2.Department of Theoretical PhysicsUniversity of ZaragozaZaragozaSpain
  3. 3.Departamento de Matemática Aplicada e Estatística, Instituto de Ciências Matemáticas e de ComputaçãoUniversidade de São PauloSão CarlosBrazil
  4. 4.Complex Networks and Systems Lagrange LabInstitute for Scientific InterchangeTurinItaly

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