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

L Egghe

Research Evaluation, 2010, vol. 19, issue 3, 203-207

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.

Date: 2010
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