Computational Evolutionary Biology & Bioinformatics

E-mail: msr@asu.edu
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## adapted pure *h-*index (fractional credit)

*h-*index is calculated by interpolating between this value and the next largest, as$$h_{ap.\text{frac}}= \frac{\left(h_e+1\right)C^{*}_{h_e}-h_e C^{*}_{h_e +1}}{C^{*}_{h_e}-C^{*}_{h_e+1}+1}.$$
### Example

### History

## References

The adapted pure *h-*index (Chai *et al.* 2008) is very similar to the pure *h-*index, except that it estimates its own core rather than relying on the standard Hirsch core. For a given publication, if one wishes to assign all authors equal credit, or if one does not have information about authorship order, one can calculate an effective citation count as the number of citations divided by the square-root of the number of authors,

Publications are ranked according to these new citation counts and the *h-*equivalent value, *h _{e},* is found as the largest rank for which the rank is less than the number of equivalent citations, or

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

Citations (C)_{i} | 42 | 36 | 9 | 14 | 11 | 9 | 2 | 2 | 3 | 2 | 1 | 1 | 1 | 0 | 0 | 0 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

Authors (A)_{i} | 3 | 3 | 1 | 3 | 2 | 4 | 1 | 1 | 4 | 4 | 1 | 2 | 4 | 4 | 2 | 1 |

Adjusted Citations (\(C^*_i\)) | 24.25 | 20.78 | 9.00 | 8.08 | 7.78 | 4.50 | 2.00 | 2.00 | 1.50 | 1.00 | 1.00 | 0.71 | 0.50 | 0.00 | 0.00 | 0.00 |

Rank (i) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |

h = 5_{e} |

The largest rank where \(i \leq C^*_i\) is 5. Interpolating between this and the next largest rank yields *h*_{ap.frac} = 5.6494.

Year | h_{ap.frac} |
---|---|

1997 | 0.0000 |

1998 | 2.0617 |

1999 | 2.9385 |

2000 | 4.5000 |

2001 | 5.6494 |

2002 | 6.8000 |

2003 | 8.2000 |

2004 | 10.2736 |

2005 | 12.3333 |

2006 | 14.3333 |

2007 | 15.7084 |

2008 | 18.0000 |

2009 | 19.0000 |

2010 | 20.6694 |

2011 | 23.2507 |

2012 | 24.5000 |

2013 | 27.1261 |

2014 | 28.2905 |

2015 | 29.5050 |

2016 | 30.0093 |

2017 | 30.6532 |

- Chai, J.-c., P.-h. Hua, R. Rousseau, and J.-k. Wan (2008) The adapted pure
*h-*index.*Fourth International Conference on Webometrics, Informetrics and Scientometrics & Ninth COLLNET Meeting,*H. Kretschmer and F. Havemann, eds. Humboldt-Universität zu Berlin: Institute for Library and Information Science.