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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 hi-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)591126161131041132100000
Authors (Ai)313231441144242111
Adjusted Citations (Ci/Ai)19.6711.008.678.003.673.002.501.001.001.000.750.500.500.000.000.000.000.00
Rank (i)123456789101112131415161718
hi-norm = 4

The sum of the adjusted citations for the top hi-norm publications is 47.33333333333333.

History

Yearξe
19970.0000
19982.3333
199910.6667
200028.8333
200147.3333
200283.8333
2003137.6667
2004200.6667
2005312.6667
2006457.5000
2007627.9921
2008827.7460
20091027.3571
20101289.6984
20111569.0635
20121819.0000
20132173.6667
20142418.4841
20152673.9524
20162976.7698
20173217.9147
20183478.5992
20193765.1548
20204049.9187
20214381.4167
20224748.7480
20235035.0615
20245325.3591
20255471.9683

References