# Michael S. Rosenberg’s Laboratory

Computational Evolutionary Biology & Bioinformatics

E-mail: msr@asu.edu
← Back to introduction

## multidimensional h-index

The multidimensional h-index (García-Pérez 2009) is a simple expansion of the original h-index used to separate individuals with identical h-indices. The concept is to calculate the h-index from all P publications (this would be the first h-index or h1). One can then calculate a second h-index, h2, from the Ph1 remaining publications. Graphically, this is finding the largest square which can fit in the tail to the right of the original square represented by h1. A third, h3, can be calculated from the Ph1h2 remaining publications, etc., continuing until one reaches publications with 0 citations.

It should be obvious that h1h2h3

Unlike most of the other indices, this index set is primarily focused on the tail of the distribution, ignoring the excess/upper part of the citation curve completely. Because it is simply recalculating h for a smaller data set, its interpretation is quite straightforward and certainly could serve as a solid method of distinguishing individuals with identical h.

### Example

Publications are ordered by number of citations, from highest to lowest. Publications determined to be part of a core are removed for subsequent calcluations.

Citations (Ci) Rank (i) Citations (Ci) Rank (i) Citations (Ci) Rank (i) Citations (Ci) Rank (i) 42 36 14 11 9 9 3 2 2 2 1 1 1 0 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 h1 = 6 3 2 2 2 1 1 1 0 0 0 1 2 3 4 5 6 7 8 9 10 h2 = 2 2 2 1 1 1 0 0 0 1 2 3 4 5 6 7 8 h3 = 2 1 1 1 0 0 0 1 2 3 4 5 6 h4 = 1 1 1 0 0 0 1 2 3 4 5 h5 = 1 1 0 0 0 1 2 3 4 h6 = 1

### History

YearH
1997[1, 1]
1998[2, 1, 1, 1]
1999[3, 2, 1]
2000[5, 2, 1]
2001[6, 2, 2, 1, 1, 1]
2002[7, 3, 3, 2, 1, 1, 1]
2003[9, 5, 3, 3, 1]
2004[11, 6, 3, 2, 1, 1]
2005[13, 7, 3, 2, 2, 1, 1]
2006[15, 8, 4, 3, 1]
2007[17, 9, 3, 2, 1]
2008[19, 10, 3, 2, 1]
2009[23, 8, 3, 1, 1]
2010[24, 10, 4, 2, 1, 1]
2011[26, 10, 4, 2, 2, 1]
2012[27, 10, 4, 3, 1, 1, 1, 1]
2013[29, 8, 5, 3, 2, 1, 1, 1]
2014[32, 7, 4, 3, 3, 1, 1, 1, 1, 1, 1, 1]
2015[34, 8, 4, 4, 2, 2, 2, 1, 1]
2016[35, 8, 5, 3, 2, 2, 1, 1, 1, 1]
2017[35, 8, 5, 4, 2, 2, 2, 1, 1]

## References

• García-Pérez, M.A. (2009) A multidimensional extension to Hirsch's h-index. Scientometrics 81(3):779–785.