k-norm index
Properties
- Metric Type: Core Metric
- Considerations and Adjustments: Coauthorship
- Publication Focus: Core Publications
- Citation Focus: Core Citations
Description
The k-norm index (Anania and Caruso 2013) is a variant of the k-index (Anania and Caruso), where citation counts are first normalized by dividing by the number of coauthors for each publication:
$$C^{*}_i = \frac{C_i}{A_i}.$$These are used to calculate a normalized version of h (h-norm index), and then k-norm is determined as:$$k{-}norm=h{-}norm+\left(1-\frac{{h{-}norm}^2}{\sum\limits_{i=1}^{h{-}norm} C^{*}_i}\right).$$
History
| Year | k-norm |
|---|---|
| 1997 | 0.0000 |
| 1998 | 1.5714 |
| 1999 | 2.6250 |
| 2000 | 4.4451 |
| 2001 | 4.6620 |
| 2002 | 6.5706 |
| 2003 | 8.5351 |
| 2004 | 9.5963 |
| 2005 | 12.5394 |
| 2006 | 14.5716 |
| 2007 | 16.5924 |
| 2008 | 19.5639 |
| 2009 | 20.6107 |
| 2010 | 22.6247 |
| 2011 | 23.6629 |
| 2012 | 24.6833 |
| 2013 | 26.6890 |
| 2014 | 26.7205 |
| 2015 | 26.7472 |
| 2016 | 27.7551 |
| 2017 | 27.7735 |
| 2018 | 27.7904 |
| 2019 | 28.7918 |
| 2020 | 29.7923 |
| 2021 | 31.7807 |
| 2022 | 33.7707 |
| 2023 | 33.7837 |
| 2024 | 33.7955 |
| 2025 | 33.8010 |
References
- Anania, G., and A. Caruso (2013) Two simple new bibliometric indexes to better evaluate research in disciplines where publications typically receive less citations. Scientometrics 96:617-631.