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Title: The Hirsch-index of set partitions
Authors: EGGHE, Leo 
Issue Date: 2011
Source: Noyons, E.; Ngulube, P.; Leta, J. (Ed.). Proceedings of the 13th International Conference of the International Society for Scientometrics and Informetrics,p. 187-195
Abstract: The Hirsch-index (h-index) is calculated on citations that papers (e.g. authors or journals) receive. Hence we can consider the h-index as calculated on a partition of the same set of citations. In this paper we will study the h-index, dependent on the particular partition of this set. We will do this in the discrete case as well as in a continuous Lotkaian setting. In the discrete setting we will determine h-indices of successive refinementsof partitions. We show that the corresponding h-indices do not form a monotonic sequence and we determine the maximal value of a h-index in such a system. In the continuous Lotkaian setting we prove that, given a set of citations of cardinality A, the h-index only depends on the average number of citations that an author or a journal receives. This functional dependence is calculated and we show that it has a unique maximum for which formulae are given. This is the highest possible h-index given a set of citations of fixed cardinality. Examples confirm the theory.
Keywords: partition; Hirsch-index; h-index; average
Document URI:
ISI #: 000305337100021
Category: C1
Type: Proceedings Paper
Validations: ecoom 2013
Appears in Collections:Research publications

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