Mathematical results on the H-index and H-sequence of Randić

Abstract

Mathematical formulae for Randic's H-sequence and H-index in a Lotkaian framework are presented. We also present a variant of Randic's H-index. We prove that the following assertions are equivalent: given two persons with the same Hirsch h-index: the Randic 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 alpha(1) < alpha(2) (where alpha(i)(i = 1,2) are the Lotka exponents of the two persons) and also equivalent with mu(1) > mu(2) (where mu(i)(i = 1,2) is the average number of citations per article of the two persons).