Name
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. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.joi.2007.07.003 | Journal of Informetrics |
Keywords | Field | DocType |
Lotka's distribution,Collaboration,Co-authors,Gestalt theory,Yin–Yang-teaching | Discrete mathematics,Data mining,Function (mathematics),Social network,Gestalt psychology,Analogy,Statistics,Bivariate analysis,Mathematics | Journal |
Volume | Issue | ISSN |
1 | 4 | 1751-1577 |
Citations | PageRank | References |
12 | 1.15 | 11 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hildrun Kretschmer | 1 | 415 | 47.95 |
| Theo Kretschmer | 2 | 43 | 4.88 |