Island Networks: Communication, Kinship, and Classification Structures in Oceania / Edition 1

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Overview

In their previous book, Exchange in Oceania, anthropologist Per Hage and mathematician Frank Harary demonstrated that models from graph theory, a branch of pure mathematics, provide the essential basis for analyzing the great variety of exchange systems in Micronesian, Melanesian, and Polynesian societies. In this new book the authors extend these models and apply them to the analysis of communication, kinship, and classification structures in the island societies of Oceania, presenting the relevant topics from graph theory in a form accessible to the nonmathematical reader. The research problems include the formation of island empires, the social basis of dialect groups, the emergence of trade and political centers, the evolution and devolution of social stratification, the transformations of marriage and descent systems, the historical development of kinship terminologies, and the reconstruction of protosocieties.
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Editorial Reviews

From the Publisher
"This unique and important work makes fascinating reading and should have a wide audience among both graph theorists and social scientists...and will undoubtedly have a great deal of influence in the further development of analytic methods in social science." Bulletin of the Institute of Combinatorics

"...highly useful to all specialists in Pacific Island anthropology as well as to those with a special methodological interest in network analysis and mathematical models." A. Arno, Choice

"Their approach is particularly valuable to the study of communication in Pacific Island societies and regional systems from a process-oriented perspective..." A.Arno, Choice

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Product Details

  • ISBN-13: 9780521552325
  • Publisher: Cambridge University Press
  • Publication date: 10/28/1996
  • Series: Structural Analysis in the Social Sciences Series , #11
  • Edition description: New Edition
  • Edition number: 1
  • Pages: 318
  • Product dimensions: 5.98 (w) x 8.98 (h) x 0.94 (d)

Table of Contents

List of figures, tables, and maps
Preface
Acknowledgments
1 Island networks and graphs 1
2 Trees 22
3 The minimum spanning tree problem 51
4 Search trees: I 90
5 Search trees: II 125
6 Centrality 165
7 Dominating sets 204
8 Digraphs 218
9 Conclusion 262
References 269
Index 289
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