# Theory and practise of the g-index

```@article{Egghe2006TheoryAP,
title={Theory and practise of the g-index},
author={Leo Egghe},
journal={Scientometrics},
year={2006},
volume={69},
pages={131-152}
}```
• L. Egghe
• Published 12 September 2006
• Mathematics
• Scientometrics
The g-index is introduced as an improvement of the h-index of Hirsch to measure the global citation performance of a set of articles. If this set is ranked in decreasing order of the number of citations that they received, the g-index is the (unique) largest number such that the top g articles received (together) at least g 2 citations. We prove the unique existence of g for any set of articles and we have that g ≥ h. The general Lotkaian theory of the g-index is presented and we show that g…
1,549 Citations
An improvement of the h-index: the g-index
For a set of papers, ranked in decreasing order of the number of citations that they received, the h-index is the (unique) highest number of papers that received h or more citations. In the
Revisiting the g-index: The average number of citations in the g-core
• M. Schreiber
• Computer Science
J. Assoc. Inf. Sci. Technol.
• 2010
The Hirsch index h is defined as the highest number of papers of a scientist that received h or more citations, and the A-index, introduced as a measure for the citation intensity in the h-core, reflects this conjunction.
Relationship of the h-index, g-index, and e-index
Based on an alternative definition without introducing fictitious articles, an analytical method has been proposed to calculate the g-index based approximately on the h-index and the e-index, and if citations for a scientist are ranked by a power law, it is shown that theg-index can be calculated accurately by the h-, g-, and e- Index.
Modelling successive h-indices
A model for such successive h-indices based on the existing theory on the distribution of the h- index in Lotkaian informetrics is presented and it is shown that, each step, involves the multiplication of the exponent of the previous h-index by 1/α where α > 1 is a Lotka exponent.
Distributions of the h-index and the g-index
In every scientific research area, each scientist has a unique h-index and g-index. This paper addresses the problem of determining the distribution of these indexes over the scientists. We apply
The πv-index: a new indicator to characterize the impact of journals
For determining the eminence of scientific journals, a new indicator stressing the importance of papers in the “elite set” (i.e., highly cited papers) is suggested, using the πv-index which is field and time dependent and closely correlated with the citedness (C/P) of Pπv papers.
What does the g-index really measure?
It is concluded that the h-index is a better bibliometric tool than is the g-index, and that the square root of the total number of citations is a convenient measure of a researcher's overall impact.
A bibliometric index based on the complete list of cited publications
• Computer Science
ArXiv
• 2013
The j-index is intended to complement rather than necessarily replace the h-index and other bibliometric indicators, thus providing a more complete picture of a researcher’s achievements.
REFLECTIONS ON THE H-INDEX
Since Hirsch’s first publication of the h-index in 2005 (Hirsch, 2005), this new measure of academic impact has generated a widespread interest. At the time of writing (January 2007) Google Scholar

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