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Letter to the Editor: Comments on the paper of Batagelj—on fractional approach to analysis of linked networks

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Abstract

We examine the role of count conservation when derived network matrices are obtained from linked network matrices using an outer product decomposition. It is seen that a full counting operation conserves the count of pathways between nodal variables while a fractional counting operation conserves the count of the nodal variable. We use the cases of co-referencing (bibliographic coupling) and co-citation with a simple citation network to illustrate the ideas.

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References

  • Batagelj, V. (2020). On fractional approach to analysis of linked networks. Scientometrics,12, 621–633. https://doi.org/10.1007/s11192-020-03383-y.

    Article  Google Scholar 

  • Batagelj, V., & Cerinsek, M. (2013). On bibliographic networks. Scientometrics,96(3), 845–864.

    Article  Google Scholar 

  • Cerinsek, M., & Batagelj, V. (2015). Network analysis of Zentralblatt MATH data. Scientometrics,102(1), 977–1001.

    Article  Google Scholar 

  • Griffith, B. C., Small, H. G., Stonehill, J. G., & Dey, S. (1974). The structure of scientific literatures: Toward a macro- and micro-structure for science. Science Studies,4, 339–365.

    Article  Google Scholar 

  • Kessler, M. M. (1963). Bibliographic coupling between scientific papers. American Documentation,14(1), 10–25.

    Article  Google Scholar 

  • Krauze, T. K., & McGinnis, R. (1979). A matric analysis of scientific specialities and careers in science. Scientometrics,1(5–6), 419–444.

    Article  Google Scholar 

  • Lempel, R., & Moran, S. (2001). SALSA: The stochastic approach for link-structure analysis. ACM Transactions on Information Systems,19(2), 131–160.

    Article  Google Scholar 

  • Leydesdorff, L., & Park, H. W. (2017). Full and fractional counting in bibliometric networks. Journal of Informetrics,11(1), 117–120.

    Article  Google Scholar 

  • Marshakova, I. (1973). System of documentation connections based on references. Nauchno-Tekhnicheskaya Informatsiya Seriya,2(6), 3–8.

    Google Scholar 

  • Perianes-Rodriguez, A., Waltman, L., & Van Eck, N. J. (2016). Constructing bibliometric networks: a comparison between full and fractional counting. Journal of Informetrics,10(4), 1178–1195.

    Article  Google Scholar 

  • Prathap, G. & Mukherjee, S. (2016). A conservation rule for constructing bibliometric network matrices. arXiv:1611.08592

  • Small, H. (1973). Co-citation in the scientific literature: A new measure of the relationship between two documents. Journal of the American Society for Information Science,24(4), 265–269.

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. A P J Abdul Kalam Technological University, Thiruvananthapuram, Kerala, 695016, India

    Gangan Prathap

  2. CSIR Central Mechanical Engineering Research Institute, Durgapur, Bengal, 713209, India

    Somenath Mukherjee

Authors
  1. Gangan Prathap
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  2. Somenath Mukherjee
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Correspondence to Gangan Prathap.

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Prathap, G., Mukherjee, S. Letter to the Editor: Comments on the paper of Batagelj—on fractional approach to analysis of linked networks. Scientometrics 124, 2717–2722 (2020). https://doi.org/10.1007/s11192-020-03541-2

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  • DOI: https://doi.org/10.1007/s11192-020-03541-2

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