Structural models in anthropology

書誌事項

Structural models in anthropology

Per Hage, Frank Harary

(Cambridge studies in social anthropology, no. 46)

Cambridge University Press, 1983

  • : hard covers
  • : paperback

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注記

Bibliography: p. 183-194

Includes index

内容説明・目次

内容説明

Hage and Harary present a comprehensive introduction to the use of graph theory in social and cultural anthropology. Using a wide range of empirical examples, the authors illustrate how graph theory can provide a language for expressing in a more exact fashion concepts and notions that can only be imperfectly rendered verbally. They show how graphs, digraphs and networks, together with their associated matrices and duality laws, facilitate the study of such diverse topics as mediation and power in exchange systems, reachability in social networks, efficiency in cognitive schemata, logic in kinship relations, and productivity in subsistence modes. The interaction between graphs and groups provides further means for the analysis of transformations in myths and permutations in symbolic systems. The totality of these structural models aids in the collection as well as the interpretation of field data. The presentation is clear, precise and readily accessible to the nonmathematical reader. It emphasizes the implicit presence of graph theory in much of anthropological thinking.

目次

  • Foreword J. A. Barnes
  • Acknowledgements
  • 1. Graph theory and anthropology
  • 2. Graphs
  • 3. Signed graphs
  • 4. Digraphs
  • 5. Graphs and matrices
  • 6. Structural duality
  • 7. Networks
  • 8. Graphs and groups
  • Appendix: axiomatics
  • References
  • Index.

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