*h*_{α}: An index to quantify an individual’s scientific leadership

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## Abstract

The \(\alpha\) person is the dominant person in a group. We define the \(\alpha\)-author of a paper as the author of the paper with the highest *h*-index among all the coauthors, and an \(\alpha\)-paper of a scientist as a paper authored or coauthored by the scientist where he/she is the \(\alpha\)-author. For most but not all papers in the literature there is only one \(\alpha\)-author. We define the \(h_\alpha\) index of a scientist as the number of papers in the *h*-core of the scientist (i.e. the set of papers that contribute to the *h*-index of the scientist) where this scientist is the \(\alpha\)-author. We also define the \(h'_\alpha\) index of a scientist as the number of \(\alpha\)-papers of this scientist that have \(\ge\)\(h'_\alpha\) citations. \(h_\alpha\) and \(h'_\alpha\) contain similar information, while \(h'_\alpha\) is conceptually more appealing it is harder to obtain from existing databases, hence of less current practical interest. We propose that the \(h_\alpha\) and/or \(h'_\alpha\) indices, or other variants discussed in the paper, are useful complements to the *h*-index of a scientist to quantify his/her scientific achievement, that rectify an inherent drawback of the *h*-index, its inability to distinguish between authors with different coauthorships patterns. A high *h* index in conjunction with a high \(h_\alpha /h\) ratio is a hallmark of scientific leadership.

## Keywords

*h*-Index Coauthorship Scientific leadership

## Notes

### Acknowledgements

The author is grateful to a colleague for thoughtful comments.

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