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A Methodology for the Analysis of Collaboration Networks with Higher-Order Interactions

Author

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  • Daniela Aguirre-Guerrero

    (Department of Applied Mathematics and Systems, Universidad Autónoma Metropolitana, Cuajimalpa, Mexico City 05348, Mexico)

  • Roberto Bernal-Jaquez

    (Department of Applied Mathematics and Systems, Universidad Autónoma Metropolitana, Cuajimalpa, Mexico City 05348, Mexico)

Abstract

Scientific research often involves collaboration among researchers, and coauthorship networks are a common means of exploring these collaborations. However, traditional coauthorship networks represent coauthorship relations using simple links, i.e., pairwise interactions, which fail to capture the strength of scientific collaborations in either small or large groups. In this study, we propose a novel methodology to address this issue, which involves using a multilayer network model that captures the strength of coauthorship relations and employs a convergence index to identify the collaboration order in which these properties converge. We apply this methodology to investigate the collaborative behavior of researchers in the context of the three main public universities in Mexico over the last decade, using Scopus data as the primary source of information. Our study reveals that community structure emerges in low-order collaborations, and higher-order collaborations lead to increased clustering and centrality measures. Our methodology provides a comprehensive and insightful way of analyzing scientific collaborations and sheds light on the dynamics of scientific collaboration, providing a valuable tool for future studies. Our proposed model and convergence index can be applied to other scientific domains to better capture the strength of collaborations among researchers.

Suggested Citation

  • Daniela Aguirre-Guerrero & Roberto Bernal-Jaquez, 2023. "A Methodology for the Analysis of Collaboration Networks with Higher-Order Interactions," Mathematics, MDPI, vol. 11(10), pages 1-17, May.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:10:p:2265-:d:1145256
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    References listed on IDEAS

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    1. Bárbara S. Lancho-Barrantes & Francisco J. Cantú-Ortiz, 2019. "Science in Mexico: a bibliometric analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 118(2), pages 499-517, February.
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    4. Barabási, A.L & Jeong, H & Néda, Z & Ravasz, E & Schubert, A & Vicsek, T, 2002. "Evolution of the social network of scientific collaborations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 311(3), pages 590-614.
    5. Leonardo Reyes-Gonzalez & Claudia N. Gonzalez-Brambila & Francisco Veloso, 2016. "Using co-authorship and citation analysis to identify research groups: a new way to assess performance," Scientometrics, Springer;Akadémiai Kiadó, vol. 108(3), pages 1171-1191, September.
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