Michael S. Rosenberg’s Laboratory

Computational Evolutionary Biology & Bioinformatics

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

The fractional g-index (Egghe 2008) is a variant of the g-index in which ranks are normalized by the number of authors and is the g equivalent of the hm-index. Effective ranks for each publication are calculated identically as for hm and gF is calculated as:

$$g_F=\underset{r_{\text{eff}}\left(i\right)}{\max}\left(r_{\text{eff}}\left(i\right)^2 \leq \sum\limits_{j=1}^{i}{C_j}\right).$$

Example

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

Citations (Ci)42361411993222111000
Cumulative Citations (ΣCi)427892103112121124126128130131132133133133133
Authors (Ai)3332414411421421
Author Effort (Ei = 1/Ai)0.330.330.330.500.251.000.250.251.001.000.250.501.000.250.501.00
Rank (i)12345678910111213141516
Adjusted Rank (reff(i) = ΣEi)0.330.671.001.501.752.753.003.254.255.255.506.007.007.257.758.75
Adjusted Rank Squared (reff(i)20.110.441.002.253.067.569.0010.5618.0627.5630.2536.0049.0052.5660.0676.56
gF = 8.75

The largest adjusted rank where reff(i)2 ≤ ΣCi is 8.7500.

History

YeargF
19971.1667
19982.6667
19992.9167
20005.7500
20018.7500
200210.1706
200311.5949
200413.0949
200517.4282
200617.9282
200719.2615
200819.7949
200922.5449
201024.1100
201125.6933
201226.0267
201327.8219
201429.8219
201530.2719
201630.8969
201731.1648

References