IDEAS home Printed from https://ideas.repec.org/a/spr/scient/v85y2010i1d10.1007_s11192-010-0208-6.html
   My bibliography  Save this article

Citation graph, weighted impact factors and performance indices

Author

Listed:
  • Karol Życzkowski

    (Jagiellonian University
    Polska Akademia Nauk)

Abstract

A scheme of evaluating an impact of a given scientific paper based on importance of papers quoting it is investigated. Introducing a weight of a given citation, dependent on the previous scientific achievements of the author of the citing paper, we define the weighting factor of a given scientist. Technically the weighting factors are defined by the components of the normalized leading eigenvector of the matrix describing the citation graph. The weighting factor of a given scientist, reflecting the scientific output of other researchers quoting his work, allows us to define weighted number of citation of a given paper, weighted impact factor of a journal and weighted Hirsch index of an individual scientist or of an entire scientific institution.

Suggested Citation

  • Karol Życzkowski, 2010. "Citation graph, weighted impact factors and performance indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 85(1), pages 301-315, October.
    • Handle: RePEc:spr:scient:v:85:y:2010:i:1:d:10.1007_s11192-010-0208-6
    DOI: 10.1007/s11192-010-0208-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11192-010-0208-6
    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/s11192-010-0208-6?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. S. Redner, 1998. "How popular is your paper? An empirical study of the citation distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 4(2), pages 131-134, July.
    2. Benjamin M. Althouse & Jevin D. West & Carl T. Bergstrom & Theodore Bergstrom, 2009. "Differences in impact factor across fields and over time," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 60(1), pages 27-34, January.
    3. Aksnes, Dag W. & Rip, Arie, 2009. "Researchers' perceptions of citations," Research Policy, Elsevier, vol. 38(6), pages 895-905, July.
    4. Pablo D. Batista & Mônica G. Campiteli & Osame Kinouchi, 2006. "Is it possible to compare researchers with different scientific interests?," Scientometrics, Springer;Akadémiai Kiadó, vol. 68(1), pages 179-189, July.
    5. Woeginger, Gerhard J., 2008. "An axiomatic characterization of the Hirsch-index," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 224-232, September.
    6. James H. Fowler & Dag W. Aksnes, 2007. "Does self-citation pay?," Scientometrics, Springer;Akadémiai Kiadó, vol. 72(3), pages 427-437, September.
    7. Chen, P. & Xie, H. & Maslov, S. & Redner, S., 2007. "Finding scientific gems with Google’s PageRank algorithm," Journal of Informetrics, Elsevier, vol. 1(1), pages 8-15.
    8. András Schubert, 2007. "Successive h-indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 70(1), pages 201-205, January.
    9. Frandsen, Tove Faber, 2007. "Journal self-citations—Analysing the JIF mechanism," Journal of Informetrics, Elsevier, vol. 1(1), pages 47-58.
    10. Michael G. Banks, 2006. "An extension of the Hirsch index: Indexing scientific topics and compounds," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 161-168, October.
    11. Wolfgang Glänzel & Koenraad Debackere & Bart Thijs & András Schubert, 2006. "A concise review on the role of author self-citations in information science, bibliometrics and science policy," Scientometrics, Springer;Akadémiai Kiadó, vol. 67(2), pages 263-277, May.
    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. A. Ferrer-Sapena & E. A. Sánchez-Pérez & L. M. González & F. Peset & R. Aleixandre-Benavent, 2015. "Mathematical properties of weighted impact factors based on measures of prestige of the citing journals," Scientometrics, Springer;Akadémiai Kiadó, vol. 105(3), pages 2089-2108, December.
    2. Dinesh Pradhan & Partha Sarathi Paul & Umesh Maheswari & Subrata Nandi & Tanmoy Chakraborty, 2017. "$$C^3$$ C 3 -index: a PageRank based multi-faceted metric for authors’ performance measurement," Scientometrics, Springer;Akadémiai Kiadó, vol. 110(1), pages 253-273, January.
    3. Liwei Cai & Jiahao Tian & Jiaying Liu & Xiaomei Bai & Ivan Lee & Xiangjie Kong & Feng Xia, 2019. "Scholarly impact assessment: a survey of citation weighting solutions," Scientometrics, Springer;Akadémiai Kiadó, vol. 118(2), pages 453-478, February.
    4. Erjia Yan, 2014. "Topic-based Pagerank: toward a topic-level scientific evaluation," Scientometrics, Springer;Akadémiai Kiadó, vol. 100(2), pages 407-437, August.
    5. Hui Fang, 2020. "Investigating the journal impact along the columns and rows of the publication-citation matrix," Scientometrics, Springer;Akadémiai Kiadó, vol. 125(3), pages 2265-2282, December.
    6. Ludo Waltman & Erjia Yan & Nees Jan Eck, 2011. "A recursive field-normalized bibliometric performance indicator: an application to the field of library and information science," Scientometrics, Springer;Akadémiai Kiadó, vol. 89(1), pages 301-314, October.

    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. Fiorenzo Franceschini & Domenico Maisano & Anna Perotti & Andrea Proto, 2010. "Analysis of the ch-index: an indicator to evaluate the diffusion of scientific research output by citers," Scientometrics, Springer;Akadémiai Kiadó, vol. 85(1), pages 203-217, October.
    2. Fiorenzo Franceschini & Domenico Maisano, 2011. "Bibliometric positioning of scientific manufacturing journals: a comparative analysis," Scientometrics, Springer;Akadémiai Kiadó, vol. 86(2), pages 463-485, February.
    3. Marek Gągolewski & Przemysław Grzegorzewski, 2009. "A geometric approach to the construction of scientific impact indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(3), pages 617-634, December.
    4. Franceschini, Fiorenzo & Maisano, Domenico, 2010. "The Hirsch spectrum: A novel tool for analyzing scientific journals," Journal of Informetrics, Elsevier, vol. 4(1), pages 64-73.
    5. Tehmina Amjad & Yusra Rehmat & Ali Daud & Rabeeh Ayaz Abbasi, 2020. "Scientific impact of an author and role of self-citations," Scientometrics, Springer;Akadémiai Kiadó, vol. 122(2), pages 915-932, February.
    6. Waltman, Ludo, 2016. "A review of the literature on citation impact indicators," Journal of Informetrics, Elsevier, vol. 10(2), pages 365-391.
    7. Rodrigo Costas & Thed N. Leeuwen & María Bordons, 2010. "Self-citations at the meso and individual levels: effects of different calculation methods," Scientometrics, Springer;Akadémiai Kiadó, vol. 82(3), pages 517-537, March.
    8. Ana Paula dos Santos Rubem & Ariane Lima Moura & João Carlos Correia Baptista Soares de Mello, 2015. "Comparative analysis of some individual bibliometric indices when applied to groups of researchers," Scientometrics, Springer;Akadémiai Kiadó, vol. 102(1), pages 1019-1035, January.
    9. Aristoklis D. Anastasiadis & Marcelo P. Albuquerque & Marcio P. Albuquerque & Diogo B. Mussi, 2010. "Tsallis q-exponential describes the distribution of scientific citations—a new characterization of the impact," Scientometrics, Springer;Akadémiai Kiadó, vol. 83(1), pages 205-218, April.
    10. Tudorel Andrei & Daniel Teodorescu & Andreea Mirică, 2016. "Beyond the Impact Factor: measuring the international visibility of Romanian social sciences journals," Scientometrics, Springer;Akadémiai Kiadó, vol. 108(1), pages 1-20, July.
    11. Zhang, Lin & Thijs, Bart & Glänzel, Wolfgang, 2011. "The diffusion of H-related literature," Journal of Informetrics, Elsevier, vol. 5(4), pages 583-593.
    12. Ruijie Wang & Yuhao Zhou & An Zeng, 2023. "Evaluating scientists by citation and disruption of their representative works," Scientometrics, Springer;Akadémiai Kiadó, vol. 128(3), pages 1689-1710, March.
    13. Franceschini, Fiorenzo & Maisano, Domenico A., 2010. "Analysis of the Hirsch index's operational properties," European Journal of Operational Research, Elsevier, vol. 203(2), pages 494-504, June.
    14. Martin Szomszor & David A. Pendlebury & Jonathan Adams, 2020. "How much is too much? The difference between research influence and self-citation excess," Scientometrics, Springer;Akadémiai Kiadó, vol. 123(2), pages 1119-1147, May.
    15. Alonso, S. & Cabrerizo, F.J. & Herrera-Viedma, E. & Herrera, F., 2009. "h-Index: A review focused in its variants, computation and standardization for different scientific fields," Journal of Informetrics, Elsevier, vol. 3(4), pages 273-289.
    16. Dunaiski, Marcel & Geldenhuys, Jaco & Visser, Willem, 2019. "On the interplay between normalisation, bias, and performance of paper impact metrics," Journal of Informetrics, Elsevier, vol. 13(1), pages 270-290.
    17. Hui Li & Weishu Liu, 2020. "Same same but different: self-citations identified through Scopus and Web of Science Core Collection," Scientometrics, Springer;Akadémiai Kiadó, vol. 124(3), pages 2723-2732, September.
    18. Zhenbin Yan & Qiang Wu & Xingchen Li, 2016. "Do Hirsch-type indices behave the same in assessing single publications? An empirical study of 29 bibliometric indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 109(3), pages 1815-1833, December.
    19. Perc, Matjaž, 2010. "Zipf’s law and log-normal distributions in measures of scientific output across fields and institutions: 40 years of Slovenia’s research as an example," Journal of Informetrics, Elsevier, vol. 4(3), pages 358-364.
    20. Woeginger, Gerhard J., 2008. "An axiomatic analysis of Egghe’s g-index," Journal of Informetrics, Elsevier, vol. 2(4), pages 364-368.

    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:85:y:2010:i:1:d:10.1007_s11192-010-0208-6. 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.