Evolutionary Biological Data Science Laboratory

weighted citation H-cut (fractional)

The fractional weighted citation H-cut is the sum of weighted citations found within an author's core publications, with the core defined by the normalized h_i-index and the citation weighting using the scheme from the weighted citation aggregate (fractional):

$$\xi_e=\sum\limits_{i=i}^{h_{i\text{-norm}}}{\frac{C_i}{A_i}}.$$

Note that for this metric publication order is by the weighted citation counts rather than the raw citation counts.

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
Rank (i)	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18
				hi-norm = 4

The sum of the adjusted citations for the top h_i-norm publications is 46.666666666666664.

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