[Sigmetrics] Full and Fractional Counting in Bibliometric Networks; preprint

Loet Leydesdorff loet at leydesdorff.net
Tue Nov 22 03:17:16 EST 2016

Full and Fractional Counting in Bibliometric Networks

Loet Leydesdorff and Han Woo Park


In their study entitled "Constructing bibliometric networks: A comparison
between full and fractional counting," Perianes-Rodriguez, Waltman, and van
Eck (2016) provide arguments for the use of fractional counting at the
network level as different from the level of publications. While the latter
attribution divides the credit among co-authors (countries, institutions,
etc.), fractional counting at the network level can normalize the relative
weights of links and thereby--depending on the research question--clarify
the structures in the network. However, PWvE propose a counting scheme for
fractional counting that is one among other possible ones. PWvE discuss the
alternative schemes proposed by Batagelj and Cerinšek (2013) and Park, Yoon,
and Leydesdorff (2016) in an appendix. We discuss three equations in terms
of pros and cons. The three equations are implemented in a routine available
at this URL <http://www.leydesdorff.net/software/fractionate/index.htm>  for
data downloaded from the Web of Science. (Using Eq. 3 is the default.) 


Available at https://arxiv.org/abs/1611.06943 



.       Perianes-Rodriguez, A., Waltman, L., & van Eck, N. J. (2016).
Constructing bibliometric networks: A comparison between full and fractional
counting. Journal of Informetrics, 10(4), 1178-1195. doi:

.       Park, H. W., Yoon, J., & Leydesdorff, L. (2016). The Normalization
of Co-authorship Networks in the Bibliometric Evaluation: The Government
Stimulation Programs of China and Korea. Scientometrics 109(2), 1017-1036.
doi: 10.1007/s11192-016-1978-2 




Loet Leydesdorff 

Professor, University of Amsterdam
Amsterdam School of Communication Research (ASCoR)

 <mailto:loet at leydesdorff.net> loet at leydesdorff.net ;
<http://www.leydesdorff.net/> http://www.leydesdorff.net/ 
Associate Faculty,  <http://www.sussex.ac.uk/spru/> SPRU, University of

Guest Professor  <http://www.zju.edu.cn/english/> Zhejiang Univ., Hangzhou;
Visiting Professor,  <http://www.istic.ac.cn/Eng/brief_en.html> ISTIC,

Visiting Professor,  <http://www.bbk.ac.uk/> Birkbeck, University of London;



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