Recent advances in algorithms and combinatorics:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
New York ; Berlin ; Heidelberg ; Hong Kong ; London ; Milan ; Pa
Springer
2003
|
| Schriftenreihe: | CMS books in mathematics
11 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XI, 351 S. graph. Darst. |
| ISBN: | 0387954341 |
Internformat
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| 245 | 1 | 0 | |a Recent advances in algorithms and combinatorics |c [Canadian Mathematical Society]. Bruce A. Reed ... eds. |
| 264 | 1 | |a New York ; Berlin ; Heidelberg ; Hong Kong ; London ; Milan ; Pa |b Springer |c 2003 | |
| 300 | |a XI, 351 S. |b graph. Darst. | ||
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| 490 | 1 | |a CMS books in mathematics |v 11 | |
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Datensatz im Suchindex
| _version_ | 1805082847506071552 |
|---|---|
| adam_text |
Contents
Preface v
List of Contributors xiii
1 The Matching Lattice 1
M.H. de Carvalho, C.L. Lucchesi, and U.S.R. Murty
1.1 Perfect Matchings 1
1.2 Matching Covered Graphs 2
1.3 The Matching Lattice 3
1.4 Tight Cut Decompositions 5
1.5 Separating Cut Decompositions 10
1.6 Removable Edges 14
1.7 Ear Decompositions 16
1.8 Optimal Ear Decomposition 20
1.9 A Characterization of the Matching Lattice 21
1.10 Unsolved Problems 23
References 24
2 Discrete Mathematics and Radio Channel Assignment 27
C. McDiarmid
2.1 Introduction 27
2.2 The constraint matrix model 28
2.3 General results for the constraint matrix model 29
2.4 How hard is channel assignment? 38
2.5 Channel assignment in the plane 40
2.6 Channel assignment with demands 47
2.7 Random channel assignment problems 52
2.8 Modelling radio channel assignment 56
References 58
3 On the coloration of perfect graphs 65
F. Maffray
3.1 Introduction 65
3.2 Basic definitions and notation 66
x Contents
3.3 Bounds on the chromatic number 67
3.4 Edge coloring 68
3.5 Sequential Algorithms 69
3.6 Sequential coloring with bichromatic exchange 71
3.7 Sequential coloring with trichromatic exchange 74
3.8 Coloring by contraction 74
3.9 Other methods 79
References 80
4 Algorithmic Aspects of Tree Width 85
B.A. Reed
4.1 Dividing and Conquering 85
4.2 Tree decompositions and tree width 89
4.3 Finding Bounded Width Decompositions 94
4.4 Using Bounded Width Decompositions 97
4.5 Walls 98
4.6 Some Applications 101
References 104
5 A Survey on Clique Graphs 109
J.L. Szwarcfiter
5.1 Introduction 109
5.2 Operations on Clique Graphs 110
5.3 A General Characterization Ill
5.4 Clique Graphs of Classes of Graphs 113
5.5 Clique Inverse Classes 115
5.6 Iterated Clique Graphs 120
5.7 Convergence and Divergence 121
5.8 Diameters 125
5.9 Remarks and Problems 128
References 130
6 Semidefinite Programs and Combinatorial Optimization 137
L. Lovasz
6.1 Introduction 137
6.2 Preliminaries 142
6.3 Semidefinite programs 151
6.4 Obtaining semidefinite programs 158
6.5 Semidefinite programming in proofs 166
6.6 Semidefinite programming in approximation algorithms . 173
6.7 Constraint generation and quadratic inequalities 177
6.8 Extensions and problems 183
References 189
7 Approximability of NP Optimization Problems 195
Contents xi
A. Steger
7.1 Introduction 195
7.2 Proving Lower Bounds 205
7.3 A Hierarchy for NP Optimization Problems 212
7.4 Constructing Reductions 220
7.5 Open Problems 239
References 239
8 Pattern Inference under many Guises 245
M. F. Sagot and Y. Wakabayashi
8.1 Introduction 245
8.2 Biological motivation 246
8.3 Notions of similarity 247
8.4 Models and their properties 257
8.5 Algorithms 260
References 284
9 Szemeredi's Regularity Lemma and Quasi randomness 289
Y. Kohayakawa and V. Rodl
9.1 Introduction 289
9.2 The regularity lemma 292
9.3 An application of the regularity lemma 298
9.4 Further applications 311
9.5 Proof of the regularity lemma 316
9.6 Local conditions for regularity 324
9.7 A new quasi random property 331
References 347 |
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| isbn | 0387954341 |
| language | English |
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| publishDate | 2003 |
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| series2 | CMS books in mathematics |
| spelling | Recent advances in algorithms and combinatorics [Canadian Mathematical Society]. Bruce A. Reed ... eds. New York ; Berlin ; Heidelberg ; Hong Kong ; London ; Milan ; Pa Springer 2003 XI, 351 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier CMS books in mathematics 11 Literaturangaben Algoritmen gtt Analyse combinatoire Análisis combinatorio Combinatieleer gtt Combinatorial analysis Kombinatorik (DE-588)4031824-2 gnd rswk-swf Algorithmus (DE-588)4001183-5 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Kombinatorik (DE-588)4031824-2 s Algorithmus (DE-588)4001183-5 s DE-604 Reed, Bruce A. Sonstige oth CMS books in mathematics 11 (DE-604)BV013248581 11 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010250719&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Recent advances in algorithms and combinatorics CMS books in mathematics Algoritmen gtt Analyse combinatoire Análisis combinatorio Combinatieleer gtt Combinatorial analysis Kombinatorik (DE-588)4031824-2 gnd Algorithmus (DE-588)4001183-5 gnd |
| subject_GND | (DE-588)4031824-2 (DE-588)4001183-5 (DE-588)4143413-4 |
| title | Recent advances in algorithms and combinatorics |
| title_auth | Recent advances in algorithms and combinatorics |
| title_exact_search | Recent advances in algorithms and combinatorics |
| title_full | Recent advances in algorithms and combinatorics [Canadian Mathematical Society]. Bruce A. Reed ... eds. |
| title_fullStr | Recent advances in algorithms and combinatorics [Canadian Mathematical Society]. Bruce A. Reed ... eds. |
| title_full_unstemmed | Recent advances in algorithms and combinatorics [Canadian Mathematical Society]. Bruce A. Reed ... eds. |
| title_short | Recent advances in algorithms and combinatorics |
| title_sort | recent advances in algorithms and combinatorics |
| topic | Algoritmen gtt Analyse combinatoire Análisis combinatorio Combinatieleer gtt Combinatorial analysis Kombinatorik (DE-588)4031824-2 gnd Algorithmus (DE-588)4001183-5 gnd |
| topic_facet | Algoritmen Analyse combinatoire Análisis combinatorio Combinatieleer Combinatorial analysis Kombinatorik Algorithmus Aufsatzsammlung |
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