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Conjugate partitions in informetrics: Lorenz curves, h-type indices, Ferrers graphs and Durfee squares in a discrete and continuous setting

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  • Egghe, L.

Abstract

The well-known discrete theory of conjugate partitions, Ferrers graphs and Durfee squares is interpreted in informetrics. It is shown that partitions and their conjugates have the same h-index, a fact that is not true for the g- and R-index. A modification of Ferrers graph is presented, yielding the g-index.

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  • Egghe, L., 2010. "Conjugate partitions in informetrics: Lorenz curves, h-type indices, Ferrers graphs and Durfee squares in a discrete and continuous setting," Journal of Informetrics, Elsevier, vol. 4(3), pages 320-330.
    • Handle: RePEc:eee:infome:v:4:y:2010:i:3:p:320-330
    DOI: 10.1016/j.joi.2010.01.006
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    References listed on IDEAS

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    1. L. Egghe, 2005. "Zipfian and Lotkaian continuous concentration theory," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 56(9), pages 935-945, July.
    2. Leo Egghe, 2006. "Theory and practise of the g-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 131-152, October.
    3. Tol, Richard S.J., 2008. "A rational, successive g-index applied to economics departments in Ireland," Journal of Informetrics, Elsevier, vol. 2(2), pages 149-155.
    4. Leo Egghe & Ronald Rousseau, 2006. "An informetric model for the Hirsch-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 69(1), pages 121-129, October.
    5. Thomas R. Anderson & Robin K. S. Hankin & Peter D. Killworth, 2008. "Beyond the Durfee square: Enhancing the h-index to score total publication output," Scientometrics, Springer;Akadémiai Kiadó, vol. 76(3), pages 577-588, September.
    6. Rodrigo Costas & María Bordons, 2008. "Is g-index better than h-index? An exploratory study at the individual level," Scientometrics, Springer;Akadémiai Kiadó, vol. 77(2), pages 267-288, November.
    7. Michael Schreiber, 2008. "An empirical investigation of the g‐index for 26 physicists in comparison with the h‐index, the A‐index, and the R‐index," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 59(9), pages 1513-1522, July.
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    Cited by:

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    2. Bouyssou, Denis & Marchant, Thierry, 2014. "An axiomatic approach to bibliometric rankings and indices," Journal of Informetrics, Elsevier, vol. 8(3), pages 449-477.
    3. Franceschini, Fiorenzo & Maisano, Domenico, 2011. "Regularity in the research output of individual scientists: An empirical analysis by recent bibliometric tools," Journal of Informetrics, Elsevier, vol. 5(3), pages 458-468.

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