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http://hdl.handle.net/1942/12901
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: | http://hdl.handle.net/1942/12901 | ISI #: | 000305337100021 | Category: | C1 | Type: | Proceedings Paper | Validations: | ecoom 2013 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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partitions 1.pdf | 387.93 kB | Adobe PDF | View/Open |
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