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On fractional approach to analysis of linked networks

Author

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  • Vladimir Batagelj

    (Institute of Mathematics, Physics and Mechanics
    University of Primorska, Andrej Marušič Institute
    National Research University Higher School of Economics)

Abstract

In this paper, we present the outer product decomposition of a product of compatible linked networks. It provides a foundation for the fractional approach in network analysis. We discuss the standard and Newman’s normalization of networks. We propose some alternatives for fractional bibliographic coupling measures.

Suggested Citation

  • Vladimir Batagelj, 2020. "On fractional approach to analysis of linked networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 123(2), pages 621-633, May.
    • Handle: RePEc:spr:scient:v:123:y:2020:i:2:d:10.1007_s11192-020-03383-y
    DOI: 10.1007/s11192-020-03383-y
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    References listed on IDEAS

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    1. M. M. Kessler, 1963. "Bibliographic coupling between scientific papers," American Documentation, Wiley Blackwell, vol. 14(1), pages 10-25, January.
    2. Gauffriau, Marianne, 2017. "A categorization of arguments for counting methods for publication and citation indicators," Journal of Informetrics, Elsevier, vol. 11(3), pages 672-684.
    3. Henry Small, 1973. "Co‐citation in the scientific literature: A new measure of the relationship between two documents," Journal of the American Society for Information Science, Association for Information Science & Technology, vol. 24(4), pages 265-269, July.
    4. Vladimir Batagelj & Monika Cerinšek, 2013. "On bibliographic networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 96(3), pages 845-864, September.
    5. Perianes-Rodriguez, Antonio & Waltman, Ludo & van Eck, Nees Jan, 2016. "Constructing bibliometric networks: A comparison between full and fractional counting," Journal of Informetrics, Elsevier, vol. 10(4), pages 1178-1195.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Daria Maltseva & Vladimir Batagelj, 2021. "Journals publishing social network analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(4), pages 3593-3620, April.
    2. Prathap, Gangan & Ujum, Ephrance Abu & Kumar, Sameer & Ratnavelu, Kuru, 2021. "Scoring the resourcefulness of researchers using bibliographic coupling patterns," Journal of Informetrics, Elsevier, vol. 15(3).
    3. Gangan Prathap & Somenath Mukherjee, 2020. "Letter to the Editor: Comments on the paper of Batagelj—on fractional approach to analysis of linked networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 124(3), pages 2717-2722, September.
    4. Marjan Cugmas & Franc Mali & Aleš Žiberna, 2020. "Scientific collaboration of researchers and organizations: a two-level blockmodeling approach," Scientometrics, Springer;Akadémiai Kiadó, vol. 125(3), pages 2471-2489, December.
    5. Daria Maltseva & Vladimir Batagelj, 2022. "Collaboration between authors in the field of social network analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(6), pages 3437-3470, June.
    6. Nataliya Matveeva & Vladimir Batagelj & Anuška Ferligoj, 2023. "Scientific collaboration of post-Soviet countries: the effects of different network normalizations," Scientometrics, Springer;Akadémiai Kiadó, vol. 128(8), pages 4219-4242, August.

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    More about this item

    Keywords

    Social network analysis; Linked networks; Bibliographic networks; Network multiplication; Fractional approach; Newman’s normalization; Bibliographic coupling;
    All these keywords.

    JEL classification:

    • C55 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Large Data Sets: Modeling and Analysis
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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