# Michael S. Rosenberg’s Laboratory

Computational Evolutionary Biology & Bioinformatics

E-mail: msr@asu.edu
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## fractional citation g-index

The fractional citation g-index (Egghe 2008) is a variant of the g-index normalized by the number of authors and is the g equivalent of the normalized hi-index. It is calculated as:

$$g_f=\underset{i}{\max}\left(i^2 \leq \sum\limits_{j=1}^{i}{\frac{C_j}{A_j}}\right).$$

### Example

Publications are ordered by adjusted number of citations, from highest to lowest.

 Citations (Ci) Authors (Ai) Adjusted Citations (Ci/Ai) Cumulative Adjusted Citations (ΣCi/Ai) Rank (i) Rank Squared (i2) 42 36 9 11 14 9 2 2 1 3 2 1 1 0 0 0 3 3 1 2 3 4 1 1 1 4 4 2 4 4 2 1 14.00 12.00 9.00 5.50 4.67 2.25 2.00 2.00 1.00 0.75 0.50 0.50 0.25 0.00 0.00 0.00 14.00 26.00 35.00 40.50 45.17 47.42 49.42 51.42 52.42 53.17 53.67 54.17 54.42 54.42 54.42 54.42 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 gf = 7

The largest rank where i2 ≤ ΣCi/Ai is 7.

Yeargf
19970
19981
19993
20004
20017
20029
200311
200414
200518
200621
200724
200828
200931
201034
201137
201239
201341
201443
201545
201647
201749

## References

• Egghe, L. (2008) Mathematical theory of the h- and g-index in case of fractional counting of authorship. Journal of the American Society for Information Science and Technology 59(10):1608–1616.