Skip to main content

Investigating Centrality Measures in Social Networks with Community Structure

  • Conference paper
  • First Online:
Complex Networks & Their Applications IX (COMPLEX NETWORKS 2020 2020)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 943))

Included in the following conference series:

Abstract

Centrality measures are crucial in quantifying the influence of the members of a social network. Although there has been a great deal of work dealing with this issue, the vast majority of classical centrality measures are agnostic of the community structure characterizing many social networks. Recent works have developed community-aware centrality measures that exploit features of the community structure information encountered in most real-world complex networks. In this paper, we investigate the interactions between 5 popular classical centrality measures and 5 community-aware centrality measures using 8 real-world online networks. Correlation as well as similarity measures between both types of centrality measures are computed. Results show that community-aware centrality measures can be divided into two groups. The first group, which includes Bridging centrality, Community Hub-Bridge, and Participation Coefficient, provides distinctive node information as compared to classical centrality. This behavior is consistent across the networks. The second group which includes Community-based Mediator and Number of Neighboring Communities is characterized by more mixed results that vary across networks.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
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

Institutional subscriptions

References

  1. Jalili, M., Perc, M.: Information cascades in complex networks. J. Complex Netw. 5(5), 665–693 (2017)

    MathSciNet  Google Scholar 

  2. Wang, Z., Moreno, Y., Boccaletti, S., Perc, M.: Vaccination and epidemics in networked populations—an introduction (2017)

    Google Scholar 

  3. Azzimonti, M., Fernandes, M.: Social media networks, fake news, and polarization. Technical report, National Bureau of Economic Research (2018)

    Google Scholar 

  4. Lü, L., Chen, D., Ren, X.-L., Zhang, Q.-M., Zhang, Y.-C., Zhou, T.: Vital nodes identification in complex networks. Phys. Rep. 650, 1–63 (2016)

    Article  MathSciNet  Google Scholar 

  5. Sciarra, C., Chiarotti, G., Laio, F., Ridolfi, L.: A change of perspective in network centrality. Sci. Rep. 8(1), 1–9 (2018)

    Article  Google Scholar 

  6. Ibnoulouafi, A., El Haziti, M., Cherifi, H.: M-centrality: identifying key nodes based on global position and local degree variation. J. Stat. Mech: Theory Exp. 2018(7), 073407 (2018)

    Article  MathSciNet  MATH  Google Scholar 

  7. Girvan, M., Newman, M.E.J.: Community structure in social and biological networks. Proc. Natl. Acad. Sci. 99(12), 7821–7826 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  8. Jebabli, M., Cherifi, H., Cherifi, C., Hamouda, A.: User and group networks on Youtube: a comparative analysis. In: 2015 IEEE/ACS 12th International Conference of Computer Systems and Applications (AICCSA), pp. 1–8. IEEE (2015)

    Google Scholar 

  9. Cherifi, H., Palla, G., Szymanski, B.K., Lu, X.: On community structure in complex networks: challenges and opportunities. Appl. Netw. Sci. 4(1), 1–35 (2019)

    Article  Google Scholar 

  10. Hwang, W., Cho, Y., Zhang, A., Ramanathan, M.: Bridging centrality: identifying bridging nodes in scale-free networks. In: Proceedings of the 12th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 20–23 (2006)

    Google Scholar 

  11. Ghalmane, Z., El Hassouni, M., Cherifi, H.: Immunization of networks with non-overlapping community structure. Soc. Netw. Anal. Min. 9(1), 45 (2019)

    Article  Google Scholar 

  12. Guimera, R., Amaral, L.A.N.: Functional cartography of complex metabolic networks. Nature 433(7028), 895–900 (2005)

    Article  Google Scholar 

  13. Tulu, M.M., Hou, R., Younas, T.: Identifying influential nodes based on community structure to speed up the dissemination of information in complex network. IEEE Access 6, 7390–7401 (2018)

    Article  Google Scholar 

  14. Gupta, N., Singh, A., Cherifi, H.: Community-based immunization strategies for epidemic control. In: 2015 7th International Conference on Communication Systems and Networks (COMSNETS), pp. 1–6. IEEE (2015)

    Google Scholar 

  15. Chakraborty, D., Singh, A., Cherifi, H.: Immunization strategies based on the overlapping nodes in networks with community structure. In: International Conference on Computational Social Networks, pp. 62–73. Springer, Cham (2016)

    Google Scholar 

  16. Kumar, M., Singh, A., Cherifi, H.: An efficient immunization strategy using overlapping nodes and its neighborhoods. In: Companion Proceedings of the The Web Conference 2018, pp. 1269–1275 (2018)

    Google Scholar 

  17. Ghalmane, Z., Cherifi, C., Cherifi, H., El Hassouni, M.: Centrality in complex networks with overlapping community structure. Sci. Rep. 9(1), 1–29 (2019)

    Article  Google Scholar 

  18. Li, C., Li, Q., Van Mieghem, P., Stanley, H.E., Wang, H.: Correlation between centrality metrics and their application to the opinion model. Eur. Phys. J. B 88(3), 1–13 (2015)

    Article  MathSciNet  Google Scholar 

  19. Oldham, S., Fulcher, B., Parkes, L., Arnatkevic̆iūtė, A., Suo, C., Fornito, A.: Consistency and differences between centrality measures across distinct classes of networks. PloS One 14(7) (2019)

    Google Scholar 

  20. Shao, C., Cui, P., Xun, P., Peng, Y., Jiang, X.: Rank correlation between centrality metrics in complex networks: an empirical study. Open Phys. 16(1), 1009–1023 (2018)

    Article  Google Scholar 

  21. Landherr, A., Friedl, B., Heidemann, J.: A critical review of centrality measures in social networks. Bus. Inf. Syst. Eng. 2, 371–385 (2010)

    Article  Google Scholar 

  22. Grando, F., Noble, D., Lamb, L.C.: An analysis of centrality measures for complex and social networks. In: 2016 IEEE Global Communications Conference (GLOBECOM), pp. 1–6. IEEE (2016)

    Google Scholar 

  23. Rajeh, S., Savonnet, M., Leclercq, E., Cherifi, H.: Interplay between hierarchy and centrality in complex networks. IEEE Access 8, 129717–129742 (2020)

    Article  Google Scholar 

  24. Rosvall, M., Bergstrom, C.T.: Maps of random walks on complex networks reveal community structure. Proc. Natl. Acad. Sci. 105(4), 1118–1123 (2008)

    Article  Google Scholar 

  25. Rossi, R., Ahmed, N.: The network data repository with interactive graph analytics and visualization. In: Twenty-Ninth AAAI Conference on Artificial Intelligence (2015)

    Google Scholar 

  26. Rozemberczki, B., Sarkar, R.: Characteristic functions on graphs: birds of a feather, from statistical descriptors to parametric models (2020)

    Google Scholar 

  27. Kunegis, J.: Handbook of network analysis [konect–the koblenz network collection]. arXiv:1402.5500 (2014). http://konect.cc/networks/

  28. Webber, W., Moffat, A., Zobel, J.: A similarity measure for indefinite rankings. ACM Trans. Inf. Syst. (TOIS) 28(4), 1–38 (2010)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Stephany Rajeh .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Rajeh, S., Savonnet, M., Leclercq, E., Cherifi, H. (2021). Investigating Centrality Measures in Social Networks with Community Structure. In: Benito, R.M., Cherifi, C., Cherifi, H., Moro, E., Rocha, L.M., Sales-Pardo, M. (eds) Complex Networks & Their Applications IX. COMPLEX NETWORKS 2020 2020. Studies in Computational Intelligence, vol 943. Springer, Cham. https://doi.org/10.1007/978-3-030-65347-7_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-65347-7_18

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-65346-0

  • Online ISBN: 978-3-030-65347-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics