Skip to main content
Log in

Dominance dimension: a common parametric formulation for integer-valued scientific impact indices

  • Published:
Scientometrics Aims and scope Submit manuscript

Abstract

We introduce the dominance dimension principle and the parameterized family of criteria for the assessment of publication/citation profiles it generates. We show that by a suitable choice of parameters dominance dimension may specialize to the most widely known and used of those impact scores for the scientific output of authors which disallow endogenous reputation effects, including the Durfee- or h-number, the publication number and the citation number.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Anderson, T. R., Hankin, R. K. S., & Killworth, P. D. (2008). Beyond the Durfee Square: Enhancing the h-index to score total publication output. Scientometrics, 76, 577–588.

    Article  Google Scholar 

  • Andrews, G. E., & Eriksson, K. (2004). Integer partitions. Cambridge, UK: Cambridge University Press.

    MATH  Google Scholar 

  • Carayol, N., & Lahatte, A. (2009). Dominance relations and universities ranking. Cahiers du GREThA n0 2009-12, Université Montesquieu Bordeaux IV.

  • Egghe, L. (2006). Theory and practise of the g-index. Scientometrics, 69, 131–152.

    Article  Google Scholar 

  • Egghe, L. (2009). An econometric property of the g-index. Information Processing and Management, 45, 484–489.

    Article  Google Scholar 

  • Glänzel, W. (2006). On the h-index- a mathematical approach to a new measure of publication activity and citation impact. Scientometrics, 2, 315–321.

    Article  Google Scholar 

  • Hirsch, J. E. (2005). An index to quantify an individual’s scientific research output. Proceedings of the National Academy of Sciences of the United States of America, 102, 16569–16572.

    Article  Google Scholar 

  • Jin, B. (2007). The AR-index: Complementing the h-index. ISSI Newsletter, 3(1), 6.

    Google Scholar 

  • Kosmulski, M. (2006). A new Hirsch-type index saves time and works equally well as the original h-index. ISSI Newsletter, 2(3), 4–6.

    Google Scholar 

  • Marchant, T. (2008). An axiomatic characterization of the ranking based on the h-index and some other bibliometric rankings of authors. Scientometrics. doi:10.1007/s11192-008-2075-y.

  • Odifreddi, P. G. (1999). Classical recursion theory, Vol 1 (2nd ed.). Amsterdam: Elsevier.

    MATH  Google Scholar 

  • Rousseau, R. (2008). Woeginger’s axiomatisation of the h-index and its relation to the g-index, the h(2)-index and the R2-index. Journal of Informetrics, 2, 335–340.

    Article  Google Scholar 

  • van Eck, N. J., & Waltman, L. (2008). Generalizing the h- and g-indices. Journal of Informetrics, 2, 263–271.

    Article  Google Scholar 

  • van Raan, A. F. J. (2006). Comparison of the Hirsch-index with standard bibliometric indicators and peer judgment for 147 chemistry research groups. Scientometrics, 67, 491–502.

    Google Scholar 

  • Woeginger, G. J. (2008a). An axiomatic characterization of the Hirsch-index. Mathematical Social Sciences, 56, 224–232.

    Article  MATH  MathSciNet  Google Scholar 

  • Woeginger, G. J. (2008b). A symmetry axiom for scientific impact indexes. Journal of Informetrics, 2, 298–303.

    Article  Google Scholar 

  • Woeginger, G. J. (2008c). An axiomatic analysis of Egghe’s g-index. Journal of Informetrics, 2, 364–368.

    Article  Google Scholar 

  • Zhang, C.-T. (2009). The e-index, complementing the h-index for excess citations. PLoS ONE 4(5), e5429. doi:10.1371/journal.pone.0005429.

    Article  Google Scholar 

Download references

Acknowledgments

Thanks are due to two anonymous referees for their most constructive criticisms and suggestions, as well as for providing me with valuable bibliographic references. In particular, one of the referees is to be credited for addressing me to the extant work on the h(2)-index and the g(2)-index.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Stefano Vannucci.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vannucci, S. Dominance dimension: a common parametric formulation for integer-valued scientific impact indices. Scientometrics 84, 43–48 (2010). https://doi.org/10.1007/s11192-009-0091-1

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11192-009-0091-1

Keywords

JEL Classification

Navigation