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Lotka's distribution and distribution of co-author pairs’ frequencies |
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| Authors: | Hildrun Kretschmer Theo Kretschmer |
| Institution: | aWISELAB, Dalian University of Technology, Dalian 116023, China bCOLLNET Center, Borgsdorfer Str. 5, D-16540 Hohen Neuendorf, Germany |
| Abstract: | The original Lotka's Law refers to single scientist distribution, i.e. the frequency of authors Ai with i publications per author is a function of i: Ai = f(i). However, with increasing collaboration in science and in technology the study of the frequency of pairs or triples of co-authors is highly relevant. Starting with pair distribution well-ordered collaboration structures of co-author pairs will be presented, i.e. the frequency of co-author pairs Nij between authors with i publications per author and authors with j publications per author is a function of i and j: Nij = f(i, j) using the normal count procedure for counting i or j. We have assumed that the distribution of co-author pairs’ frequencies can be considered to be reflection of a social Gestalt and therefore can be described by the corresponding mathematical function based on well-known general characteristics of structures in interpersonal relations in social networks. We have shown that this model of social Gestalts can better explain the distribution of co-author pairs than by a simple bivariate function in analogy to Lotka's Law. This model is based on both the Gestalt theory and the old Chinese Yin/Yang theory. |
| Keywords: | Lotka's distribution Collaboration Co-authors Gestalt theory Yin–Yang-teaching |
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