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 SN  Vol.2 No.3 , July 2013
Who Is Collaborating with Whom in Science? Explanation of a Fundamental Principle
Abstract: Since many decades power functions are well-known in counting single scientists or co-author pairs in social networks. However, in this paper a developed procedure for visualizing a bivariate distribution of co-author pairs’ frequencies hence producing three-dimensional graphs is presented. This distribution is explained by a fundamental principle of social group formation and described by a mathematical model. This model is applied to 52 co-authorship networks. For 96% of them the squared multiple R is larger than 0.98 and for 77% of the 52 networks even larger than 0.99. The visualized social Gestalts in form of three-dimensional graphs are rather identically with the corresponding empirical distributions. Question: Can we expect a general validity of this mathematical model for co-authorship networks?
Cite this paper: Kretschmer, H. and Kretschmer, T. (2013) Who Is Collaborating with Whom in Science? Explanation of a Fundamental Principle. Social Networking, 2, 99-137. doi: 10.4236/sn.2013.23011.
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