Structural Models in Anthropology

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.

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.

Structural analysis in the social sciences has an extensive history. Frequently, however, it has been undertaken largely on the basis of intuition and common sense alone. In this book Per Hage and Frank Harary reveal the deeper insights into social and cultural structures that can be obtained through the application of graph theory.