Verfügbarkeit: Graphs and their uses

Graphs and their uses:

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Ore, Oystein (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	New York Math. Assoc. of America 1990
Ausgabe:	Rev. and updated ed.
Schriftenreihe:	New mathematical library 34
Schlagworte:	Internationale Mathematik-Olympiade Geschichte 1979-1985 Geschichte Grafen Grafentheorie Méthodes graphiques Teoria dos grafos Graphic methods Graphentheorie Physik Unterhaltungsmathematik Mathematik Graph Mathematische Methode Naturwissenschaften Topologische Graphentheorie Anwendung Aufgabensammlung
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	VIII, 153 S. graph. Darst.
ISBN:	0883856352

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Datensatz im Suchindex

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adam_text	GRAPHS AND THEIR USES BY OYSTEIN ORE YALE UNIVERSITY REVISED AND UPDATED EDITION PREPARED BY ROBIN J. WILSON THE OPEN UNIVERSITY, ENGLAND 34 THE MATHEMATICAL ASSOCIATION OF AMERICA CONTENTS INTRODUCTION CHAPTER 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 CHAPTER 2 2.1 2.2 2.3 2.4 2.5 2.6 CHAPTER 3 3.1 3.2 3.3 3.4 3.5 3.6 WHAT IS A GRAPH? TEAM COMPETITIONS NULL GRAPHS AND COMPLETE GRAPHS ISOMORPHIC GRAPHS PLANAR GRAPHS PLANAR PROBLEMS THE NUMBER OF EDGES IN A GRAPH INTERVAL GRAPHS CONNECTED GRAPHS CONNECTED COMPONENTS THE PROBLEM OF THE BRIDGES OF KOENIGSBERG EULERIAN GRAPHS FINDING YOUR WAY HAMILTONIAN CYCLES PUZZLES AND GRAPHS TREES TREES AND FORESTS CYCLES AND TREES THE CONNECTOR PROBLEM THE TRAVELLING SALESMAN PROBLEM REVISITED BRACING FRAMEWORKS STREETS AND SQUARES 5 5 7 9 12 14 18 21 24 24 26 27 30 31 33 37 37 39 41 44 46 49 VLL VLLL GRAPHS AND THEIR USES CHAPTER 4 MATCHINGS 4.1 THE JOBS AND THE APPLICANTS 4.2 OTHER FORMULATIONS 4.3 ROUND-ROBIN MATCHINGS 53 53 56 59 CHAPTER 5 DIRECTED GRAPHS 5.1 TEAM COMPETITIONS RE-EXAMINED 5.2 THE PROBLEMS OF ONE-WAY TRAFFIC 5.3 DEGREES 5.4 GENETIC GRAPHS 5.5 FINDING THE SHORTEST ROUTE 63 63 63 70 72 78 CHAPTER 6 QUESTIONS CONCERNING GAMES AND PUZZLES 6.1 PUZZLES AND DIRECTED GRAPHS 6.2 THE THEORY OF GAMES 6.3 THE SPORTSWRITER'S PARADOX 83 83 86 90 CHAPTER 7 7.1 7.2 7.3 7.4 RELATIONS RELATIONS AND GRAPHS SPECIAL CONDITIONS EQUIVALENCE RELATIONS PARTIAL ORDERS 95 95 97 101 105 CHAPTER 8 PLANAR GRAPHS 8.1 CONDITIONS FOR PLANAR GRAPHS 8.2 EULER'S FORMULA 8.3 GRAPH RELATIONS AND DUAL GRAPHS 8.4 THE PIATONIC SOLIDS 8.5 MOSAICS 109 109 113 115 117 121 CHAPTER 9 MAP COLORING 9.1 THE FOUR COLOR PROBLEM 9.2 THE FIVE COLOR THEOREM 9.3 COLORING MAPS ON OTHER SURFACES 125 125 129 133 SOLUTIONS BIBLIOGRAPHY GLOSSARY 136 146 148 INDEX 151
adam_txt	GRAPHS AND THEIR USES BY OYSTEIN ORE YALE UNIVERSITY REVISED AND UPDATED EDITION PREPARED BY ROBIN J. WILSON THE OPEN UNIVERSITY, ENGLAND 34 THE MATHEMATICAL ASSOCIATION OF AMERICA CONTENTS INTRODUCTION CHAPTER 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 CHAPTER 2 2.1 2.2 2.3 2.4 2.5 2.6 CHAPTER 3 3.1 3.2 3.3 3.4 3.5 3.6 WHAT IS A GRAPH? TEAM COMPETITIONS NULL GRAPHS AND COMPLETE GRAPHS ISOMORPHIC GRAPHS PLANAR GRAPHS PLANAR PROBLEMS THE NUMBER OF EDGES IN A GRAPH INTERVAL GRAPHS CONNECTED GRAPHS CONNECTED COMPONENTS THE PROBLEM OF THE BRIDGES OF KOENIGSBERG EULERIAN GRAPHS FINDING YOUR WAY HAMILTONIAN CYCLES PUZZLES AND GRAPHS TREES TREES AND FORESTS CYCLES AND TREES THE CONNECTOR PROBLEM THE TRAVELLING SALESMAN PROBLEM REVISITED BRACING FRAMEWORKS STREETS AND SQUARES 5 5 7 9 12 14 18 21 24 24 26 27 30 31 33 37 37 39 41 44 46 49 VLL VLLL GRAPHS AND THEIR USES CHAPTER 4 MATCHINGS 4.1 THE JOBS AND THE APPLICANTS 4.2 OTHER FORMULATIONS 4.3 ROUND-ROBIN MATCHINGS 53 53 56 59 CHAPTER 5 DIRECTED GRAPHS 5.1 TEAM COMPETITIONS RE-EXAMINED 5.2 THE PROBLEMS OF ONE-WAY TRAFFIC 5.3 DEGREES 5.4 GENETIC GRAPHS 5.5 FINDING THE SHORTEST ROUTE 63 63 63 70 72 78 CHAPTER 6 QUESTIONS CONCERNING GAMES AND PUZZLES 6.1 PUZZLES AND DIRECTED GRAPHS 6.2 THE THEORY OF GAMES 6.3 THE SPORTSWRITER'S PARADOX 83 83 86 90 CHAPTER 7 7.1 7.2 7.3 7.4 RELATIONS RELATIONS AND GRAPHS SPECIAL CONDITIONS EQUIVALENCE RELATIONS PARTIAL ORDERS 95 95 97 101 105 CHAPTER 8 PLANAR GRAPHS 8.1 CONDITIONS FOR PLANAR GRAPHS 8.2 EULER'S FORMULA 8.3 GRAPH RELATIONS AND DUAL GRAPHS 8.4 THE PIATONIC SOLIDS 8.5 MOSAICS 109 109 113 115 117 121 CHAPTER 9 MAP COLORING 9.1 THE FOUR COLOR PROBLEM 9.2 THE FIVE COLOR THEOREM 9.3 COLORING MAPS ON OTHER SURFACES 125 125 129 133 SOLUTIONS BIBLIOGRAPHY GLOSSARY 136 146 148 INDEX 151
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genre	(DE-588)4143389-0 Aufgabensammlung gnd-content
genre_facet	Aufgabensammlung
id	DE-604.BV022001206
illustrated	Illustrated
index_date	2024-07-02T16:11:31Z
indexdate	2025-01-10T19:01:59Z
institution	BVB
isbn	0883856352
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-015215848
oclc_num	22043459
open_access_boolean
owner	DE-706
owner_facet	DE-706
physical	VIII, 153 S. graph. Darst.
publishDate	1990
publishDateSearch	1990
publishDateSort	1990
publisher	Math. Assoc. of America
record_format	marc
series	New mathematical library
series2	New mathematical library
spelling	Ore, Oystein Verfasser aut Graphs and their uses by Oystein Ore Rev. and updated ed. prepared by Robin J. Wilson New York Math. Assoc. of America 1990 VIII, 153 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier New mathematical library 34 Internationale Mathematik-Olympiade (DE-588)4169097-7 gnd rswk-swf Geschichte 1979-1985 gnd rswk-swf Geschichte gnd rswk-swf Grafen gtt Grafentheorie gtt Méthodes graphiques Teoria dos grafos larpcal Graphic methods Graphentheorie (DE-588)4113782-6 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Unterhaltungsmathematik (DE-588)4124357-2 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Geschichte (DE-588)4020517-4 gnd rswk-swf Graph (DE-588)4021842-9 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Naturwissenschaften (DE-588)4041421-8 gnd rswk-swf Topologische Graphentheorie (DE-588)4341226-9 gnd rswk-swf Anwendung (DE-588)4196864-5 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Anwendung (DE-588)4196864-5 s Graph (DE-588)4021842-9 s 1\p DE-604 Graphentheorie (DE-588)4113782-6 s 2\p DE-604 Topologische Graphentheorie (DE-588)4341226-9 s 3\p DE-604 Geschichte (DE-588)4020517-4 s Mathematik (DE-588)4037944-9 s Physik (DE-588)4045956-1 s DE-604 Mathematische Methode (DE-588)4155620-3 s Naturwissenschaften (DE-588)4041421-8 s Internationale Mathematik-Olympiade (DE-588)4169097-7 f Geschichte 1979-1985 z Geschichte z Unterhaltungsmathematik (DE-588)4124357-2 s Wilson, Robin J. 1943- Sonstige (DE-588)141760176 oth New mathematical library 34 (DE-604)BV001888260 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015215848&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Ore, Oystein Graphs and their uses New mathematical library Internationale Mathematik-Olympiade (DE-588)4169097-7 gnd Grafen gtt Grafentheorie gtt Méthodes graphiques Teoria dos grafos larpcal Graphic methods Graphentheorie (DE-588)4113782-6 gnd Physik (DE-588)4045956-1 gnd Unterhaltungsmathematik (DE-588)4124357-2 gnd Mathematik (DE-588)4037944-9 gnd Geschichte (DE-588)4020517-4 gnd Graph (DE-588)4021842-9 gnd Mathematische Methode (DE-588)4155620-3 gnd Naturwissenschaften (DE-588)4041421-8 gnd Topologische Graphentheorie (DE-588)4341226-9 gnd Anwendung (DE-588)4196864-5 gnd
subject_GND	(DE-588)4169097-7 (DE-588)4113782-6 (DE-588)4045956-1 (DE-588)4124357-2 (DE-588)4037944-9 (DE-588)4020517-4 (DE-588)4021842-9 (DE-588)4155620-3 (DE-588)4041421-8 (DE-588)4341226-9 (DE-588)4196864-5 (DE-588)4143389-0
title	Graphs and their uses
title_auth	Graphs and their uses
title_exact_search	Graphs and their uses
title_exact_search_txtP	Graphs and their uses
title_full	Graphs and their uses by Oystein Ore
title_fullStr	Graphs and their uses by Oystein Ore
title_full_unstemmed	Graphs and their uses by Oystein Ore
title_short	Graphs and their uses
title_sort	graphs and their uses
topic	Internationale Mathematik-Olympiade (DE-588)4169097-7 gnd Grafen gtt Grafentheorie gtt Méthodes graphiques Teoria dos grafos larpcal Graphic methods Graphentheorie (DE-588)4113782-6 gnd Physik (DE-588)4045956-1 gnd Unterhaltungsmathematik (DE-588)4124357-2 gnd Mathematik (DE-588)4037944-9 gnd Geschichte (DE-588)4020517-4 gnd Graph (DE-588)4021842-9 gnd Mathematische Methode (DE-588)4155620-3 gnd Naturwissenschaften (DE-588)4041421-8 gnd Topologische Graphentheorie (DE-588)4341226-9 gnd Anwendung (DE-588)4196864-5 gnd
topic_facet	Internationale Mathematik-Olympiade Grafen Grafentheorie Méthodes graphiques Teoria dos grafos Graphic methods Graphentheorie Physik Unterhaltungsmathematik Mathematik Geschichte Graph Mathematische Methode Naturwissenschaften Topologische Graphentheorie Anwendung Aufgabensammlung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015215848&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV001888260
work_keys_str_mv	AT oreoystein graphsandtheiruses AT wilsonrobinj graphsandtheiruses

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