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  • Cited by 35
Publisher:
Cambridge University Press
Online publication date:
March 2010
Print publication year:
1984
Online ISBN:
9780511659843

Book description

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.

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Contents

  • Frontmatter
    pp i-vi
  • Contents
    pp vii-viii
  • Foreword by J. A. Barnes
    pp ix-xii
  • Acknowledgments
    pp xiii-xiv
  • 1 - Graph theory and anthropology
    pp 1-13
  • 2 - Graphs
    pp 14-39
  • 3 - Signed graphs
    pp 40-64
  • 4 - Digraphs
    pp 65-92
  • 5 - Graphs and matrices
    pp 93-113
  • 6 - Structural duality
    pp 114-131
  • 7 - Networks
    pp 132-150
  • 8 - Graphs and groups
    pp 151-170
  • Appendix: Axiomatics
    pp 171-182
  • References
    pp 183-194
  • Index
    pp 195-202
  • CAMBRIDGE STUDIES IN SOCIAL ANTHROPOLOGY
    pp 203-205

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