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A mathematical characterization of the Hirsch-index by means of minimal increments

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  • Egghe, L.

Abstract

The minimum configuration to have a h-index equal to h is h papers each having h citations, hence h2 citations in total. To increase the h-index to h+1 we minimally need (h+1)2 citations, an increment of I1(h)=2h+1. The latter number increases with 2 per unit increase of h. This increment of the second order is denoted I2(h)=2.

Suggested Citation

  • Egghe, L., 2013. "A mathematical characterization of the Hirsch-index by means of minimal increments," Journal of Informetrics, Elsevier, vol. 7(2), pages 388-393.
    • Handle: RePEc:eee:infome:v:7:y:2013:i:2:p:388-393
    DOI: 10.1016/j.joi.2013.01.005
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    References listed on IDEAS

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    1. Ludo Waltman & Nees Jan van Eck, 2012. "The inconsistency of the h-index," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 63(2), pages 406-415, February.
    2. Qiang Wu, 2010. "The w-index: A measure to assess scientific impact by focusing on widely cited papers," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 61(3), pages 609-614, March.
    3. Egghe, L., 2011. "Characterizations of the generalized Wu- and Kosmulski-indices in Lotkaian systems," Journal of Informetrics, Elsevier, vol. 5(3), pages 439-445.
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    Cited by:

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    2. Rousseau, Ronald, 2014. "A refinement of Egghe's increment studies," Journal of Informetrics, Elsevier, vol. 8(1), pages 212-216.
    3. Egghe, L., 2014. "Impact coverage of the success-index," Journal of Informetrics, Elsevier, vol. 8(2), pages 384-389.

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