Evolutionary Biological Data Science Laboratory

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 h_i-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)	57	11	26	16	12	10	2	4	1	1	3	1	1	0	0	0	0	0
Authors (Ai)	3	1	3	2	3	4	1	4	1	1	4	2	4	4	2	1	1	1
Adjusted Citations (Ci/Ai)	19.00	11.00	8.67	8.00	4.00	2.50	2.00	1.00	1.00	1.00	0.75	0.50	0.25	0.00	0.00	0.00	0.00	0.00
Cumulative Adjusted Citations (ΣCi/Ai)	19.00	30.00	38.67	46.67	50.67	53.17	55.17	56.17	57.17	58.17	58.92	59.42	59.67	59.67	59.67	59.67	59.67	59.67
Rank (i)	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18
Rank Squared (i2)	1	4	9	16	25	36	49	64	81	100	121	144	169	196	225	256	289	324
							gf = 7

The largest rank where i² ≤ ΣC_i/A_i is 7.

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