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H. Kretschmer, “A New Model of Scientific Collaboration. Part I: Types of Two-Dimensional and Three-Dimensional Collaboration Patterns,” Scientometrics, Vol. 46, No. 3, 1999, pp. 501-518. doi:10.1007/BF02459607

has been cited by the following article:

• TITLE: Who Is Collaborating with Whom in Science? Explanation of a Fundamental Principle

  AUTHORS: Hildrun Kretschmer, Theo Kretschmer

  KEYWORDS: Social Network Analysis (SNA); Collaboration; Co-Authorship; Mathematical Model

  JOURNAL NAME: Social Networking, Vol.2 No.3, July 4, 2013

  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?