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Modeling Social Network Topologies in Elementary Schools

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  • Rodrigo Huerta-Quintanilla
  • Efrain Canto-Lugo
  • Dolores Viga-de Alva

Abstract

Complex networks are used to describe interactions in many real world systems, including economic, biological and social systems. An analysis was done of inter-student friendship, enmity and kinship relationships at three elementary schools by building social networks of these relationships and studying their properties. Friendship network measurements were similar between schools and produced a Poisson topology with a high clustering index. Enmity network measurements were also similar between schools and produced a power law topology. Spatial confinement and the sense of belonging to a social group played vital roles in shaping these networks. Two models were developed which generate complex friendship and enmity networks that reproduce the properties observed at the three studied elementary schools.

Suggested Citation

  • Rodrigo Huerta-Quintanilla & Efrain Canto-Lugo & Dolores Viga-de Alva, 2013. "Modeling Social Network Topologies in Elementary Schools," PLOS ONE, Public Library of Science, vol. 8(2), pages 1-9, February.
    • Handle: RePEc:plo:pone00:0055371
    DOI: 10.1371/journal.pone.0055371
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    1. Krawczyk, Małgorzata J. & del Castillo-Mussot, Marcelo & Hernández-Ramírez, Eric & Naumis, Gerardo G. & Kułakowski, Krzysztof, 2015. "Heider balance, asymmetric ties, and gender segregation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 439(C), pages 66-74.

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