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Multilayer Social Networks

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Encyclopedia of Social Network Analysis and Mining

Synonyms

Interconnected network; Layered social networks; Multidimensional social networks; Multilayered social network; Multiplex social networks; Multirelational social networks; Network of networks

Glossary

MSN:

Multilayer social network

SN:

Social network

SSN:

Singlelayer social network

Definition

A social network (SN) is defined as a tuple <V, E>, where:

  • V – is a nonempty set of actors representing social entities: humans, organizations, departments, etc.; called also vertices, nodes, members, cases, agents, instances, or points.

  • E – is a set of directed edges (relations between actors called also arcs, connections, or ties) where a single edge is represented by a tuple <x, y>, x, y ∈ V, x ≠ y and for two edges <x, y> and <x′, y′> if <x, y> ≠ <x′, y′> and x = x′ then y ≠ y′. Note that <x, y> ≠ <y, x> because we consider here directed social networks.

Since social networks usually represent one kind of relationships, they are also called singlelayer social network SSN(Magnani and...

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Acknowledgments

This work was partially supported by the National Science Centre, Poland, the decisions no. 2016/21/B/ST6/01463 and DEC-2016/21/D/ST6/02408; European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No. 691152 (RENOIR); and the Polish Ministry of Science and Higher Education fund for supporting internationally cofinanced projects in 2016–2019 (agreement no. 3628/H2020/2016/2).The work was partially supported by the Polish Ministry of Science and Higher Education, the research project 2010–2013.

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Authors and Affiliations

  1. Department of Computational Intelligence, ENGINE – The European Centre for Data Science, Faculty of Computer Science and Management, Wroclaw University of Science and Technology, Wrocław, Poland

    Piotr Bródka & Przemysław Kazienko

Authors
  1. Piotr Bródka
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  2. Przemysław Kazienko
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Corresponding author

Correspondence to Piotr Bródka .

Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Calgary, Calgary, AB, Canada

    Reda Alhajj

  2. Department of Computer Science, University of Calgary, Calgary, AB, Canada

    Jon Rokne

Section Editor information

  1. Department of Computational Intelligence, Wrocław University of Science and Technology, Wrocław, Poland

    Przemysław Kazienko

  2. Faculty of Computer Science and Information Technology, West Pomeranian University of Technology, Szczecin, Poland

    Jaroslaw Jankowski

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Bródka, P., Kazienko, P. (2018). Multilayer Social Networks. In: Alhajj, R., Rokne, J. (eds) Encyclopedia of Social Network Analysis and Mining. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-7131-2_239

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