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Mathematical results on Randić's H-index and H-sequence

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  • L Egghe

Abstract

Mathematical formulae for Randić's H-sequence and H-index in a Lotkaian framework are presented. We also present a variant of Randić's H-index. We prove that the following assertions are equivalent: given two persons with the same Hirsch h-index: the Randić H-index H 1 of the first person is larger than H 2 , that of the second person, if and only if the H-sequence of the first person dominates that of the second person. These properties are equivalent with α 1 < α 2 (where α i (i = 1,2) are the Lotka exponents of the two persons) and also equivalent with μ 1 > μ 2 (where μ i (i = 1,2) is the average number of citations per article of the two persons). Copyright , Beech Tree Publishing.

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  • L Egghe, 2010. "Mathematical results on Randić's H-index and H-sequence," Research Evaluation, Oxford University Press, vol. 19(3), pages 203-207, September.
    • Handle: RePEc:oup:rseval:v:19:y:2010:i:3:p:203-207
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    File URL: http://hdl.handle.net/10.3152/095820210X503447
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    Cited by:

    1. L. Egghe, 2011. "Mathematical derivation of the scale-dependence of the h-index and other h-type indices," Scientometrics, Springer;Akadémiai Kiadó, vol. 87(2), pages 287-292, May.

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