w-index (Wu)
Wu's w-index (Wu 2010) is very similar to the h-index, but defines a stricter core by requiring that each of the w publications have at least 10w citations.
$$w=\underset{i}{\max}\left(i \leq 10C_i\right)$$One can view this graphically as identical to the h-index, except the threshold line has a slope of 10 rather than 1.
Example
Publications are ordered by number of citations, from highest to lowest.
| Citations (Ci) | 57 | 26 | 16 | 12 | 11 | 10 | 4 | 3 | 2 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 10×Rank (10i) | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 | 110 | 120 | 130 | 140 | 150 | 160 | 170 | 180 |
| Rank (i) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 |
| w = 2 |
The largest rank where 10i ≤ Ci is 2.
History
| Year | w |
|---|---|
| 1997 | 0 |
| 1998 | 0 |
| 1999 | 1 |
| 2000 | 1 |
| 2001 | 2 |
| 2002 | 2 |
| 2003 | 3 |
| 2004 | 4 |
| 2005 | 5 |
| 2006 | 7 |
| 2007 | 8 |
| 2008 | 8 |
| 2009 | 9 |
| 2010 | 10 |
| 2011 | 12 |
| 2012 | 12 |
| 2013 | 12 |
| 2014 | 13 |
| 2015 | 15 |
| 2016 | 16 |
| 2017 | 16 |
| 2018 | 17 |
| 2019 | 17 |
| 2020 | 17 |
| 2021 | 18 |
| 2022 | 18 |
| 2023 | 18 |
| 2024 | 18 |
References
- Wu, Q. (2010) The w-index: A measure to assess scientific impact by focusing on widely cited papers. Journal of the American Society for Information Science and Technology 61(3):609–614.