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Line graphs as social networks

Author

Listed:
  • Krawczyk, M.J.
  • Muchnik, L.
  • Mańka-Krasoń, A.
  • Kułakowski, K.

Abstract

It was demonstrated recently that the line graphs are clustered and assortative. These topological features are known to characterize some social networks [M.E.J. Newman, Y. Park, Why social networks are different from other types of networks, Phys. Rev. E 68 (2003) 036122]; it was argued that this similarity reveals their cliquey character. In the model proposed here, a social network is the line graph of an initial network of families, communities, interest groups, school classes and small companies. These groups play the role of nodes, and individuals are represented by links between these nodes. The picture is supported by the data on the LiveJournal network of about 8×106 people.

Suggested Citation

  • Krawczyk, M.J. & Muchnik, L. & Mańka-Krasoń, A. & Kułakowski, K., 2011. "Line graphs as social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(13), pages 2611-2618.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:13:p:2611-2618
    DOI: 10.1016/j.physa.2011.03.009
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    References listed on IDEAS

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    1. Nacher, J.C. & Yamada, T. & Goto, S. & Kanehisa, M. & Akutsu, T., 2005. "Two complementary representations of a scale-free network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(1), pages 349-363.
    2. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906.
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    Cited by:

    1. Wang, Xiangrong & Trajanovski, Stojan & Kooij, Robert E. & Van Mieghem, Piet, 2016. "Degree distribution and assortativity in line graphs of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 343-356.
    2. Sayari, Elaheh & Seifert, Evandro G. & Cruziniani, Fátima E. & Gabrick, Enrique C. & Iarosz, Kelly C. & Szezech, José D. & Baptista, Murilo S. & Caldas, Iberê L. & Batista, Antonio M., 2023. "Structural connectivity modifications in the brain of selected patients with tumour after its removal by surgery (a case study)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).

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    Social networks; Scale-free networks;

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