Exchange in Oceania: a graph theoretic analysis
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Oxford
Clarendon Press
1991
|
| Schriftenreihe: | Oxford studies in social and cultural anthropology
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002861874&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XII, 322 S. |
| ISBN: | 0198277601 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | EXCHANGE IN OCEANIA
A graph theoretic analysis
PER HAGE
and
FRANK HARARY
CLARENDON PRESS • OXFORD
CONTENTS
1 GRAPH THEORY AND EXCHANGE STRUCTURES 1
Prologue 2
Primordial structures 6
Necessary relations 9
Graphs and their uses 12
Set theoretic concepts 27
2 PATHS, CYCLES, AND PARTITIONS 30
Basic definitions 30
Bipartite graphs and dual organization 36
Colourable signed graphs and competitive exchange 49
Ceremonial analogues of marriage exchange 54
Exchange quartets 70
3 CENTRES, NEIGHBOURHOODS, AND ROOTS 72
Voyaging, exchange, and stratification in the Caroline Islands 74
Rooted graphs and island settlement patterns in Micronesia 103
4 MATRIX ANALYSIS 115
Matrix representation 116
Matrix operations 120
Connectivity analysis in Melanesian archaeology 123
Geodetic structure 134
The raw and the cooked: Hierarchy and intimacy in Melanesian
exchange networks 136
Nearest neighbours and the evolution of trade networks 146
Evolutionary trees in exchange networks 153
5 MARKOV CHAINS 156
Wealth and hierarchy in the kula ring 156
Alternative kula rings 170
A speculation on the Ur-kula ring 171
On models of social, trade, and transport networks 173
xii Contents
6 COMBINATION AND ENUMERATION 177
Exchange dualities 179
An atom of kinship: Arapesh 182
A generalized atom of kinship: Tonga 191
Structuralistes avant la lettre 198
Structures en creux 204
On a calculus of Melanesian exchange structures 209
7 BINARY OPERATIONS AND GROUPS 215
A Micronesian anatomy graph 216
On the notation of exchange structures 224
Pollution beliefs in Highland New Guinea 227
8 LOGIC OF RELATIONS 240
Relations and graphs 241
Networks vs relations 247
Relation: Siassi marriage exchange 249
Digraph: Rossel Island marriage exchange 250
Graph: Lesu marriage exchange 252
Oriented graph: Carolinian tribute relations 252
Similarity relation: The Trukic dialect chain 254
Equivalence relation: The neighbourhood of a dialect 258
Orders: Big man, chief 260
Tournament: The Tongan solution 263
Parity relation: Inner structure 268
Antiequivalence relation: Ritual exchange 269
Antiparity relation: Whales teeth, turtles, pigs, and men 271
Conclusion 272
APPENDIX 1: Table of named sea-lanes in the Carolines and
Marianas 276
APPENDIX 2: Simulations of alternative kula rings 282
APPENDIX 3: The geodesic counting matrix of a graph 285
APPENDIX 4: Reference list of theorems and proofs 287
BIBLIOGRAPHY 293
INDEX 313
|
| any_adam_object | 1 |
| author | Hage, Per Harary, Frank 1921-2005 |
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| dewey-ones | 306 - Culture and institutions |
| dewey-raw | 306/.099 |
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| dewey-tens | 300 - Social sciences |
| discipline | Soziologie Sozial-/Kulturanthropologie / Empirische Kulturwissenschaft |
| format | Book |
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| geographic_facet | Océanie - Moeurs et coutumes - Modèles mathématiques Oceania Social life and customs Mathematical models Ozeanien |
| id | DE-604.BV004658752 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T08:20:57Z |
| institution | BVB |
| isbn | 0198277601 |
| language | English |
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| physical | XII, 322 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Clarendon Press |
| record_format | marc |
| series2 | Oxford studies in social and cultural anthropology |
| spellingShingle | Hage, Per Harary, Frank 1921-2005 Exchange in Oceania a graph theoretic analysis Ethnologie - Océanie - Modèles mathématiques Grafentheorie gtt Graphes, Théorie des Kula gtt Sociale ruil gtt Échange cérémoniel - Océanie - Modèles mathématiques Alltag, Brauchtum Mathematisches Modell Ceremonial exchange Oceania Mathematical models Ethnology Oceania Mathematical models Graph theory Mathematisches Modell (DE-588)4114528-8 gnd Graphentheorie (DE-588)4113782-6 gnd Tausch (DE-588)4184535-3 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4113782-6 (DE-588)4184535-3 (DE-588)4044257-3 |
| title | Exchange in Oceania a graph theoretic analysis |
| title_auth | Exchange in Oceania a graph theoretic analysis |
| title_exact_search | Exchange in Oceania a graph theoretic analysis |
| title_full | Exchange in Oceania a graph theoretic analysis Per Hage and Frank Harary |
| title_fullStr | Exchange in Oceania a graph theoretic analysis Per Hage and Frank Harary |
| title_full_unstemmed | Exchange in Oceania a graph theoretic analysis Per Hage and Frank Harary |
| title_short | Exchange in Oceania |
| title_sort | exchange in oceania a graph theoretic analysis |
| title_sub | a graph theoretic analysis |
| topic | Ethnologie - Océanie - Modèles mathématiques Grafentheorie gtt Graphes, Théorie des Kula gtt Sociale ruil gtt Échange cérémoniel - Océanie - Modèles mathématiques Alltag, Brauchtum Mathematisches Modell Ceremonial exchange Oceania Mathematical models Ethnology Oceania Mathematical models Graph theory Mathematisches Modell (DE-588)4114528-8 gnd Graphentheorie (DE-588)4113782-6 gnd Tausch (DE-588)4184535-3 gnd |
| topic_facet | Ethnologie - Océanie - Modèles mathématiques Grafentheorie Graphes, Théorie des Kula Sociale ruil Échange cérémoniel - Océanie - Modèles mathématiques Alltag, Brauchtum Mathematisches Modell Ceremonial exchange Oceania Mathematical models Ethnology Oceania Mathematical models Graph theory Graphentheorie Tausch Océanie - Moeurs et coutumes - Modèles mathématiques Oceania Social life and customs Mathematical models Ozeanien |
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