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Generating global network structures by triad types

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  • Marjan Cugmas
  • Anuška Ferligoj
  • Aleš Žiberna

Abstract

This paper addresses the question of whether one can generate networks with a given global structure (defined by selected blockmodels, i.e., cohesive, core-periphery, hierarchical, and transitivity), considering only different types of triads. Two methods are used to generate networks: (i) the newly proposed method of relocating links; and (ii) the Monte Carlo Multi Chain algorithm implemented in the ergm package in R. Most of the selected blockmodel types can be generated by considering all types of triads. The selection of only a subset of triads can improve the generated networks’ blockmodel structure. Yet, in the case of a hierarchical blockmodel without complete blocks on the diagonal, additional local structures are needed to achieve the desired global structure of generated networks. This shows that blockmodels can emerge based only on local processes that do not take attributes into account.

Suggested Citation

  • Marjan Cugmas & Anuška Ferligoj & Aleš Žiberna, 2018. "Generating global network structures by triad types," PLOS ONE, Public Library of Science, vol. 13(5), pages 1-24, May.
    • Handle: RePEc:plo:pone00:0197514
    DOI: 10.1371/journal.pone.0197514
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    References listed on IDEAS

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    1. Luka Kronegger & Anuška Ferligoj & Patrick Doreian, 2011. "On the dynamics of national scientific systems," Quality & Quantity: International Journal of Methodology, Springer, vol. 45(5), pages 989-1015, August.
    2. Patrick Doreian & Anuška Ferligoj & Luka Kronegger, 2011. "On the dynamics of national scientific systems: a reply," Quality & Quantity: International Journal of Methodology, Springer, vol. 45(5), pages 1025-1029, August.
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    2. Columbu, Silvia & Porcu, Mariano & Primerano, Ilaria & Sulis, Isabella & Vitale, Maria Prosperina, 2021. "Geography of Italian student mobility: A network analysis approach," Socio-Economic Planning Sciences, Elsevier, vol. 73(C).

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