Skip to main content

Multiplex Networks

  • Reference work entry
  • First Online:
  • 317 Accesses

Synonyms

Multigraph; Multilayered network; Multi-relational network

Glossary

Graph Clustering Algorithm:

Attempts to find cohesive subgroups which are only loosely interconnected

Degree Centrality:

The number of edges incident to a node

Network Motifs:

Subgraphs that occur significantly more often than expected by chance

Definition

Multiplex networks represent different types of relationships between nodes in a single graph, for example, marriage and business ties between Renaissance Florentine families as shown in Fig. 1 (Breiger and Pattison 1986). Temporal networks in which the same relationship is observed at different time points can be seen as a special type of multiplex network (Temporal Networks).

Multiplex Networks, Fig. 1
figure 1342 figure 1342

A multiplex network containing two types of edges: marriage (continuous lines) and business ties (dashed lines) among fifteenth-century Florentine families (Adapted from Breiger and Pattison 1986)

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   2,500.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   549.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  • Barabási A-L (2007) Network medicine – from obesity to the “Diseasome”. N Engl J Med 357(4):404–407

    Article  Google Scholar 

  • Breiger R, Pattison P (1986) Cumulated social roles: the duality of persons and their algebras. Soc Netw 8:215–256

    Article  Google Scholar 

  • Davis D, Lichtenwalter R, Chawla NV (2011) Multirelational link prediction in heterogeneous information networks. In: proceedings of the 2011 international conference on advances in social networks analysis and mining (ASONAM ‘11), Kaohsiung, pp 281–288

    Google Scholar 

  • Ferligoj A, Doreian P, Batagelj V (2011) The SAGE handbook of social network analysis, chapter positions and roles. Sage, London/Thousand Oaks, pp 434–446

    Google Scholar 

  • Emőke-Ágnes Horvát, Zweig KA (2012) One-mode projection of multiplex bipartite graphs. In: Proceedings of the fourth international conference on advances in social networks analysis and mining (ASONAM’12), Istanbul, pp 598–605

    Google Scholar 

  • Kazienko P, Musial K, Kajdanowicz T (2011) Multidimensional social network in the social recommender system. IEEE Trans Syst Man Cybern A 41(4):746–759

    Article  Google Scholar 

  • Li N, Chen G (2009) Multi-layered friendship modeling for location-based mobile social networks. In: Proceedings of Mobiquitous 2009 (MobiQuitous ‘09), Toronto, pp 1–10

    Google Scholar 

  • Magnani M, Rossi L (2011) The ML-model for multilayer social networks. In: Proceedings of the 2011 international conference on advances in social networks analysis and mining (ASONAM ‘11), Kaohsiung, pp 5–12

    Google Scholar 

  • Mucha PJ, Richardson T, Macon K, Porter MA, Onnela J-P (2010) Community structure in time-dependent, multiscale, and multiplex networks. Science 328:876–878

    Article  MathSciNet  MATH  Google Scholar 

  • Newman MEJ (2010) Networks: an introduction. Oxford University Press, New York

    Book  MATH  Google Scholar 

  • Pattinson P (2011) Relation algebras and social networks. In: The SAGE handbook of social network analysis. Sage, London/Thousand Oaks, pp 447–458

    Google Scholar 

  • Pattison P, Wasserman S (1999) Logit model and logistic regressions for social networks: II. Multivariate relations. Br J Math Stat Psychol 52:169–193

    Article  MATH  Google Scholar 

  • Sauer U, Heinemann M, Zamboni N (2007) Getting closer to the whole picture. Science 316(5824):550–551

    Article  Google Scholar 

  • Shen-Orr SS, Milo R, Mangan S, Alon U (2002) Network motifs in the transcriptional regulation network of Escherichia coli. Nat Genet 31:64–68

    Article  Google Scholar 

  • Szell M, Lambiotte R, Thurner S (2010) Multirelational organization of large-scale social networks in an online world. Proc Natl Acad Sci Early Ed 107(31):13636–13641

    Article  Google Scholar 

  • Wasserman S, Faust K (1994) Social network analysis: methods and applications, 1st edn. Cambridge University Press, Cambridge

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Emőke-Agnes Horvat .

Editor information

Editors and Affiliations

Section Editor information

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Science+Business Media LLC, part of Springer Nature

About this entry

Check for updates. Verify currency and authenticity via CrossMark

Cite this entry

Horvat, EA., Zweig, K.A. (2018). Multiplex 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_25

Download citation

Publish with us

Policies and ethics