# Michael S. Rosenberg’s Laboratory

Computational Evolutionary Biology & Bioinformatics

E-mail: msr@asu.edu
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## h(2)-index

The h(2)-index (Kosmulski 2006) is similar to the h-index, but rather than define the core based on h publications having h citations, this index requires the h publications to each have h2 citations:

$$h\left(2\right)=\underset{i}{\max}\left(i^2 \leq C_i\right).$$

This leads to h(2) having a stricter definition of the core publications than many other metrics.

### Example

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

 Citations (Ci) Rank-squared (i2) Rank (i) 42 36 14 11 9 9 3 2 2 2 1 1 1 0 0 0 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 h(2) = 3

The largest rank where i2Ci is 3.

Yearh(2)
19971
19981
19992
20002
20013
20024
20034
20045
20056
20067
20077
20088
20098
20108
20119
20129
201310
201410
201511
201611
201711

## References

• Kosmulski, M. (2006) A new Hirsch-type index saves time and works equally well as the original h-index. ISSI Newsletter 2(3):4–6.