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Hypergraphs: combinatorics of finite sets

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Bibliographic Details
Main Author:	Berge, Claude 1926-2002 (Author)
Format:	Book
Language:	English
Published:	Amsterdam [u.a.] North-Holland 1989
Series:	North-Holland Mathematical Library 45
Subjects:	Conjecture Chvatal Conjecture Ryser Hypergraphe Hypergraphes Problème Kneser Propriété Helly Propriété König Théorème Kruskal-Katona Hypergraphs Hypergraph
Online Access:	Inhaltsverzeichnis
Physical Description:	IX, 255 Seiten graph. Darst.
ISBN:	0444874895

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MARC


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Record in the Search Index

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adam_text	TABLE OF CONTENTS Chapter 1: General concepts 1 1. Dual hypergraphs 1 2. Degrees 3 3. Intersecting families 10 4. The coloured edge property and Chvatal s conjecture 15 5. The Helly property 21 6. Section of a hypergraph and the Kruskal Katona Theorem 26 7. Conformal hypergraphs 30 8. Representative graphs 31 Exercises 39 Chapter 2: Transversal sets and matchings 43 1. Transversal hypergraphs 43 2. The coefficients t and r 53 3. r critical hypergraphs 59 4. The Konig property 64 Exercises 72 Chapter 3: Fractional transversals 74 1. Fractional transversal number 74 2. Fractional matching of a graph 83 3. Fractional transversal number of a regularisable hypergraph 93 4. Greedy transversal number 99 5. Ryser s conjecture 103 6. Transversal number of product hypergraphs 105 Exercises 113 Chapter 4: Colourings 115 1. Chromatic number 115 2. Particular kinds of colourings 120 3. Uniform colourings 122 4. Extremal problems related to the chromatic number 130 5. Good edge colourings of a complete hypergraph 137 6. An application to an extremal problem 146 7. Kneser s problem 140 Exercises 150 Contents vii Chapter 5: Hypergraphs generalising bipartite graphs 155 1. Hypergraphs without odd cycles 155 2. Unimodular hypergraphs 162 3. Balanced hypergraphs 171 4. Arboreal hypergraphs 186 5. Normal hypergraphs 193 6. Mengerian hypergraphs 198 7. Paranormal hypergraphs 208 Exercises 213 Appendix: Matchings and colourings in matroids 217 References 237
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isbn	0444874895
language	English
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physical	IX, 255 Seiten graph. Darst.
publishDate	1989
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series	North-Holland Mathematical Library
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spelling	Berge, Claude 1926-2002 Verfasser (DE-588)107792109 aut Hypergraphes Hypergraphs combinatorics of finite sets Claude Berge Amsterdam [u.a.] North-Holland 1989 IX, 255 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier North-Holland Mathematical Library 45 Conjecture Chvatal Conjecture Ryser Hypergraphe Hypergraphes ram Problème Kneser Propriété Helly Propriété König Théorème Kruskal-Katona Hypergraphs Hypergraph (DE-588)4161063-5 gnd rswk-swf Hypergraph (DE-588)4161063-5 s DE-604 North-Holland Mathematical Library 45 (DE-604)BV000005206 45 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001624369&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Berge, Claude 1926-2002 Hypergraphs combinatorics of finite sets North-Holland Mathematical Library Conjecture Chvatal Conjecture Ryser Hypergraphe Hypergraphes ram Problème Kneser Propriété Helly Propriété König Théorème Kruskal-Katona Hypergraphs Hypergraph (DE-588)4161063-5 gnd
subject_GND	(DE-588)4161063-5
title	Hypergraphs combinatorics of finite sets
title_alt	Hypergraphes
title_auth	Hypergraphs combinatorics of finite sets
title_exact_search	Hypergraphs combinatorics of finite sets
title_full	Hypergraphs combinatorics of finite sets Claude Berge
title_fullStr	Hypergraphs combinatorics of finite sets Claude Berge
title_full_unstemmed	Hypergraphs combinatorics of finite sets Claude Berge
title_short	Hypergraphs
title_sort	hypergraphs combinatorics of finite sets
title_sub	combinatorics of finite sets
topic	Conjecture Chvatal Conjecture Ryser Hypergraphe Hypergraphes ram Problème Kneser Propriété Helly Propriété König Théorème Kruskal-Katona Hypergraphs Hypergraph (DE-588)4161063-5 gnd
topic_facet	Conjecture Chvatal Conjecture Ryser Hypergraphe Hypergraphes Problème Kneser Propriété Helly Propriété König Théorème Kruskal-Katona Hypergraphs Hypergraph
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001624369&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000005206
work_keys_str_mv	AT bergeclaude hypergraphes AT bergeclaude hypergraphscombinatoricsoffinitesets

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