Zipf–Mandelbrot–Pareto model for co-authorship popularity

@article{Ausloos2014ZipfMandelbrotParetoMF,
  title={Zipf–Mandelbrot–Pareto model for co-authorship popularity},
  author={Marcel Ausloos},
  journal={Scientometrics},
  year={2014},
  volume={101},
  pages={1565-1586}
}
  • M. Ausloos
  • Published 1 April 2014
  • Physics
  • Scientometrics
Each co-author (CA) of any scientist can be given a rank $$(r)$$(r) of importance according to the number $$(J)$$(J) of joint publications which the authors have together. In this paper, the Zipf–Mandelbrot–Pareto law, i.e. $$ J \propto 1/(\nu +r)^{\zeta }$$J∝1/(ν+r)ζ is shown to reproduce the empirical relationship between $$J$$J and $$r$$r and shown to be preferable to a mere power law, $$ J \propto 1/r^{\alpha } $$J∝1/rα. The CA core value, i.e. the core number of CAs, is unaffected, of… 

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