Structures of dominance relations
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Dominance relations and theirstructures have been studied in the context of animal sociology (Rapoport, 1949a, b; Landau, 1951a, b), and occur in many other theoretical models of the social and biological sciences. When Rapoport and Landau wrote, there was no method known for determining the number of dominance structures which could be defined on a set ofn elements, forn>4. The answer to this question can be important in certain further investigations of the structural properties of dominance. Using a general method developed elsewhere (Davis, 1953), this paper derives a formula to answer the question for anyn, and gives an application of the method to treat a case not previously analyzed.
KeywordsConjugate Class Symmetric Group Dominance Relation Biophysics Volume Structure Sequence
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