IDEAS home Printed from https://ideas.repec.org/a/spr/scient/v123y2020i2d10.1007_s11192-020-03383-y.html
   My bibliography  Save this article

On fractional approach to analysis of linked networks

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11192-020-03383-y
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11192-020-03383-y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Vladimir Batagelj & Monika Cerinšek, 2013. "On bibliographic networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 96(3), pages 845-864, September.
    2. M. M. Kessler, 1963. "Bibliographic coupling between scientific papers," American Documentation, Wiley Blackwell, vol. 14(1), pages 10-25, January.
    3. 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.
    4. 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.
    5. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Vladimir Batagelj, 2024. "On weighted two-mode network projections," Scientometrics, Springer;Akadémiai Kiadó, vol. 129(6), pages 3565-3571, June.
    2. 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.
    3. 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.
    4. Fabio Ashtar Telarico & Franc Mali & Aleš Žiberna, 2024. "Revealing dynamic co-authorship structure in the social sciences through blockmodeling: the Slovenian case (1991–2020)," Scientometrics, Springer;Akadémiai Kiadó, vol. 129(9), pages 5635-5672, September.
    5. Daria Maltseva & Vladimir Batagelj, 2021. "Journals publishing social network analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(4), pages 3593-3620, April.
    6. Vladimir Batagelj, 2024. "Weighted degrees and truncated derived bibliographic networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 129(8), pages 4863-4883, August.
    7. 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).
    8. Wang, Xiaoli & Liang, Wenting & Ye, Xuanting & Chen, Lingdi & Liu, Yun, 2024. "Disruptive development path measurement for emerging technologies based on the patent citation network," Journal of Informetrics, Elsevier, vol. 18(1).
    9. 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.
    10. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Piñeiro-Chousa, Juan & López-Cabarcos, M. Ángeles & Romero-Castro, Noelia María & Pérez-Pico, Ada María, 2020. "Innovation, entrepreneurship and knowledge in the business scientific field: Mapping the research front," Journal of Business Research, Elsevier, vol. 115(C), pages 475-485.
    3. Toshiyuki Hasumi & Mei-Shiu Chiu, 2022. "Online mathematics education as bio-eco-techno process: bibliometric analysis using co-authorship and bibliographic coupling," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(8), pages 4631-4654, August.
    4. João Paulo Coelho Ribeiro & Fábio Duarte & Ana Paula Matias Gama, 2022. "Does microfinance foster the development of its clients? A bibliometric analysis and systematic literature review," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 8(1), pages 1-35, December.
    5. Gorupec Natalia & Brehmer Nataliia & Tiberius Victor & Kraus Sascha, 2022. "Tackling uncertain future scenarios with real options: A review and research framework," The Irish Journal of Management, Sciendo, vol. 41(1), pages 69-88, July.
    6. Francesca Iandolo & Pietro Vito & Francesca Loia & Irene Fulco & Mario Calabrese, 2021. "Drilling down the viable system theories in business, management and accounting: A bibliometric review," Systems Research and Behavioral Science, Wiley Blackwell, vol. 38(6), pages 738-755, November.
    7. Riad Shams, S.M. & Vrontis, Demetris & Chaudhuri, Ranjan & Chavan, Gitesh & Czinkota, Michael R., 2020. "Stakeholder engagement for innovation management and entrepreneurial development: A meta-analysis," Journal of Business Research, Elsevier, vol. 119(C), pages 67-86.
    8. Syed Asif Raza & Rafi Ashrafi & Ali Akgunduz, 2020. "A bibliometric analysis of revenue management in airline industry," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 19(6), pages 436-465, December.
    9. Wupeng Zhang & Hua Li & Daofeng Wang & Gaoxiang Xu & Cheng Xu & Jiantao Li & Licheng Zhang & Peifu Tang, 2023. "The Global Research Status and Trends in Ice and Snow Sports Injuries from 1995 to 2022: A Bibliometric and Visualized Analysis," IJERPH, MDPI, vol. 20(4), pages 1-13, February.
    10. Samuel Ribeiro-Navarrete & Juan Piñeiro-Chousa & M. Ángeles López-Cabarcos & Daniel Palacios-Marqués, 2022. "Crowdlending: mapping the core literature and research frontiers," Review of Managerial Science, Springer, vol. 16(8), pages 2381-2411, November.
    11. Haiko Lietz, 2020. "Drawing impossible boundaries: field delineation of Social Network Science," Scientometrics, Springer;Akadémiai Kiadó, vol. 125(3), pages 2841-2876, December.
    12. Guan-Can Yang & Gang Li & Chun-Ya Li & Yun-Hua Zhao & Jing Zhang & Tong Liu & Dar-Zen Chen & Mu-Hsuan Huang, 2015. "Using the comprehensive patent citation network (CPC) to evaluate patent value," Scientometrics, Springer;Akadémiai Kiadó, vol. 105(3), pages 1319-1346, December.
    13. Rey-Long Liu, 2017. "A new bibliographic coupling measure with descriptive capability," Scientometrics, Springer;Akadémiai Kiadó, vol. 110(2), pages 915-935, February.
    14. Lilian Cervo Cabrera & Carlos Eduardo Caldarelli & Marcia Regina Gabardo Camara, 2020. "Mapping collaboration in international coffee certification research," Scientometrics, Springer;Akadémiai Kiadó, vol. 124(3), pages 2597-2618, September.
    15. Perez-Vega, Rodrigo & Hopkinson, Paul & Singhal, Aishwarya & Mariani, Marcello M., 2022. "From CRM to social CRM: A bibliometric review and research agenda for consumer research," Journal of Business Research, Elsevier, vol. 151(C), pages 1-16.
    16. Chris W. Belter, 2013. "A bibliometric analysis of NOAA’s Office of Ocean Exploration and Research," Scientometrics, Springer;Akadémiai Kiadó, vol. 95(2), pages 629-644, May.
    17. Ding, Ying, 2011. "Community detection: Topological vs. topical," Journal of Informetrics, Elsevier, vol. 5(4), pages 498-514.
    18. Ignacio Rodríguez-Rodríguez & José-Víctor Rodríguez & Niloofar Shirvanizadeh & Andrés Ortiz & Domingo-Javier Pardo-Quiles, 2021. "Applications of Artificial Intelligence, Machine Learning, Big Data and the Internet of Things to the COVID-19 Pandemic: A Scientometric Review Using Text Mining," IJERPH, MDPI, vol. 18(16), pages 1-29, August.
    19. Ooms, Tahnee & Klaser, Klaudijo & Ishkanian, Armine, 2023. "The role of academia practice partnerships in the well-being economy: Retracing synergies between health and social sciences using bibliometric analysis," Health Policy, Elsevier, vol. 138(C).
    20. Manta Eduard Mihai & Davidescu Adriana Ana Maria & Geambasu Maria Cristina & Florescu Margareta Stela, 2023. "Exploring the research area of direct taxation. An empirical analysis based on bibliometric analysis results," Management & Marketing, Sciendo, vol. 18(s1), pages 355-383, December.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:scient:v:123:y:2020:i:2:d:10.1007_s11192-020-03383-y. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.