Michael S. Rosenberg’s Laboratory

Computational Evolutionary Biology & Bioinformatics

E-mail: msr@asu.edu
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two-sided h-index

The two-sided h-index (García-Pérez 2012) is an extension of the multidimensional h-index, which recalcultes h not only for the tail of the distribution (as in the multidimensional version) but also for the excess citations from h-core publications beyond those necessary to reach h, thus providing a multidimensional measure of both the upper and tail parts of the citation distribution.

The tail half of the two-sided h-index is identical to the multidimensional h-index (although, notationally, the original h is now designated h0). To calculate the upper part, after the initial h is determined, one calculates h-1 (the value immediately in front of h) by first subtracting h from the citation count for all of the publications in the core, then determining a new h from this reduced citation set.

Graphically, this is finding the largest square which can fit on top of the original square representing h. This process is repeated for the remaining excess citations in the (new) core.

To ensure symmetry, we calculate h±k such that the number of steps above the core is identical to the number of steps in the tail.

Example

Publications are ordered by number of citations, from highest to lowest. Publications within the original core have h citations removed at each step; publications in the original tail are ranked independently at each subsequent step.

Citations (Ci)42361411993222111000
Rank (i)12345678910111213141516
h0 = 6
Adjusted Citations (Ci)363085333222111000
Rank (i)12345612345678910
h-1 = 4h1 = 2
Adjusted Citations (Ci)32264122111000
Rank (i)123412345678
h-2 = 3h2 = 2
Adjusted Citations (Ci)29231111000
Rank (i)123123456
h-3 = 2h3 = 1
Adjusted Citations (Ci)272111000
Rank (i)1212345
h-4 = 2h4 = 1
Adjusted Citations (Ci)25191000
Rank (i)121234
h-5 = 2h5 = 1

History

Yearh±k
1997[0, 1, 1]
1998[1, 1, 1, 2, 1, 1, 1]
1999[2, 2, 3, 2, 1]
2000[2, 3, 5, 2, 1]
2001[2, 2, 2, 3, 4, 6, 2, 2, 1, 1, 1]
2002[2, 2, 2, 3, 4, 5, 7, 3, 3, 2, 1, 1, 1]
2003[4, 4, 4, 5, 9, 5, 3, 3, 1]
2004[3, 3, 4, 6, 8, 11, 6, 3, 2, 1, 1]
2005[4, 4, 7, 7, 8, 9, 13, 7, 3, 2, 2, 1, 1]
2006[7, 8, 9, 9, 15, 8, 4, 3, 1]
2007[8, 8, 9, 10, 17, 9, 3, 2, 1]
2008[8, 8, 10, 13, 19, 10, 3, 2, 1]
2009[8, 9, 12, 14, 23, 8, 3, 1, 1]
2010[8, 10, 11, 13, 16, 24, 10, 4, 2, 1, 1]
2011[8, 11, 12, 13, 16, 26, 10, 4, 2, 2, 1]
2012[8, 8, 9, 11, 13, 14, 17, 27, 10, 4, 3, 1, 1, 1, 1]
2013[9, 10, 10, 12, 14, 16, 19, 29, 8, 5, 3, 2, 1, 1, 1]
2014[9, 9, 9, 9, 10, 10, 11, 11, 14, 18, 19, 32, 7, 4, 3, 3, 1, 1, 1, 1, 1, 1, 1]
2015[10, 10, 11, 12, 13, 15, 18, 19, 34, 8, 4, 4, 2, 2, 2, 1, 1]
2016[10, 10, 11, 12, 12, 14, 17, 18, 20, 35, 8, 5, 3, 2, 2, 1, 1, 1, 1]
2017[11, 11, 12, 13, 14, 17, 18, 21, 35, 8, 5, 4, 2, 2, 2, 1, 1]

References