The bulletin of mathematical biophysics

, Volume 15, Issue 2, pp 143–148

On dominance relations and the structure of animal societies: III The condition for a score structure

  • H. G. Landau

DOI: 10.1007/BF02476378

Cite this article as:
Landau, H.G. Bulletin of Mathematical Biophysics (1953) 15: 143. doi:10.1007/BF02476378


The necessary and sufficient condition is given forn integers to be the score structure of a society with a dominance relation.

A proof is also given for a theorem showing that there are members who dominate every other member either directly or indirectly through a single intermediate member.

Copyright information

© The University of Chicago Press 1953

Authors and Affiliations

  • H. G. Landau
    • 1
  1. 1.Committee on Mathematical BiologyThe University of ChicagoChicagoUSA

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