Generating global network structures by triad types

PLoS One. 2018 May 30;13(5):e0197514. doi: 10.1371/journal.pone.0197514. eCollection 2018.

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.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Algorithms*
  • Computer Simulation
  • Humans
  • Markov Chains
  • Models, Theoretical
  • Monte Carlo Method*
  • Social Networking*

Grants and funding

The project was financially supported by the Slovenian Research Agency (www.arrs.gov.si) within the "Young researchers" program, the research program P5-0168 and under the research project J7-8279 (Blockmodeling multilevel and temporal networks).