Phase transitions in combinatorial optimization problems: basics, algorithms and statistical mechanics
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Weinheim
Wiley
2005
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 348 S. graph. Darst. |
| ISBN: | 9783527404735 3527404732 |
Staff View
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Record in the Search Index
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| adam_text | Contents
Preface IX
1 Introduction 1
1.1 Two examples of combinatorial optimization 2
1.2 Why study combinatorial optimization using statistical physics? 6
1.3 Textbooks 10
Bibliography 11
2 Algorithms 13
2.1 Pidgin Algol 13
2.2 Iteration and recursion 17
2.3 Divide and conquer 18
2.4 Dynamic programming 20
2.5 Backtracking 22
Bibliography 24
3 Introduction to graphs 25
3.1 Basic concepts and graph problems 25
3.1.1 The bridges of KQnigsberg and Eulerian graphs 25
3.1.2 Hamiltonian graphs 29
3.1.3 Minimum spanning trees 30
3.1.4 Edge covers and vertex covers 32
3.1.5 The graph coloring problem 33
3.1.6 Matchings 36
3.2 Basic graph algorithms 37
3.2.1 Depth first and breadth first search 38
3.2.2 Strongly connected component 45
3.2.3 Minimum spanning tree 48
3.3 Random graphs 49
3.3.1 Two ensembles 49
3.3.2 Evolution of graphs 50
3.3.3 Finite connectivity graphs: The case p = c/N 51
3.3.4 The phase transition: Emergence of a giant component 55
3.3.5 The emergence of a giant q core 58
Bibliography 66
Phase Transitions in Combinatorial Optimization Problems. Alexander K. Hartmann and Martin Weigt
Copyright © 2005 Wiley VCH Verlag GmbH Co. KGaA, Weinheim
ISBN: 3 527 40473 2
VIII Contents
10.4 Message passing algorithms for SAT 268
10.4.1 Factor graphs and cavities 268
10.4.2 Warning propagation 270
10.4.3 Survey propagation 273
Bibliography 277
11 Optimization problems in physics 281
11.1 Monte Carlo optimization 283
11.1.1 Simulated annealing 283
11.1.2 Cluster algorithms 285
11.1.3 Biased sampling 289
11.2 Hysteric optimization 291
11.3 Genetic algorithms 295
11.4 Shortest paths and polymers in random media 300
11.5 Maximum flows and random field systems 304
11.6 Submodular functions and free energy of Potts model 312
11.7 Matchings and spin glasses 317
Bibliography 325
Index 333
|
| any_adam_object | 1 |
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| dewey-ones | 530 - Physics |
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| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| indexdate | 2024-07-09T19:23:39Z |
| institution | BVB |
| isbn | 9783527404735 3527404732 |
| language | English |
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| physical | XI, 348 S. graph. Darst. |
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| spelling | Hartmann, Alexander K. Verfasser (DE-588)123323223 aut Phase transitions in combinatorial optimization problems basics, algorithms and statistical mechanics Alexander K. Hartmann ; Martin Weigt Weinheim Wiley 2005 XI, 348 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Optimisation combinatoire Physique statistique Combinatorial optimization Statistical physics Algorithmus (DE-588)4001183-5 gnd rswk-swf Kombinatorische Optimierung (DE-588)4031826-6 gnd rswk-swf Phasenumwandlung (DE-588)4132140-6 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 s Algorithmus (DE-588)4001183-5 s DE-604 Phasenumwandlung (DE-588)4132140-6 s Kombinatorische Optimierung (DE-588)4031826-6 s b DE-604 Weigt, Martin Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010765047&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hartmann, Alexander K. Weigt, Martin Phase transitions in combinatorial optimization problems basics, algorithms and statistical mechanics Optimisation combinatoire Physique statistique Combinatorial optimization Statistical physics Algorithmus (DE-588)4001183-5 gnd Kombinatorische Optimierung (DE-588)4031826-6 gnd Phasenumwandlung (DE-588)4132140-6 gnd Statistische Mechanik (DE-588)4056999-8 gnd |
| subject_GND | (DE-588)4001183-5 (DE-588)4031826-6 (DE-588)4132140-6 (DE-588)4056999-8 |
| title | Phase transitions in combinatorial optimization problems basics, algorithms and statistical mechanics |
| title_auth | Phase transitions in combinatorial optimization problems basics, algorithms and statistical mechanics |
| title_exact_search | Phase transitions in combinatorial optimization problems basics, algorithms and statistical mechanics |
| title_full | Phase transitions in combinatorial optimization problems basics, algorithms and statistical mechanics Alexander K. Hartmann ; Martin Weigt |
| title_fullStr | Phase transitions in combinatorial optimization problems basics, algorithms and statistical mechanics Alexander K. Hartmann ; Martin Weigt |
| title_full_unstemmed | Phase transitions in combinatorial optimization problems basics, algorithms and statistical mechanics Alexander K. Hartmann ; Martin Weigt |
| title_short | Phase transitions in combinatorial optimization problems |
| title_sort | phase transitions in combinatorial optimization problems basics algorithms and statistical mechanics |
| title_sub | basics, algorithms and statistical mechanics |
| topic | Optimisation combinatoire Physique statistique Combinatorial optimization Statistical physics Algorithmus (DE-588)4001183-5 gnd Kombinatorische Optimierung (DE-588)4031826-6 gnd Phasenumwandlung (DE-588)4132140-6 gnd Statistische Mechanik (DE-588)4056999-8 gnd |
| topic_facet | Optimisation combinatoire Physique statistique Combinatorial optimization Statistical physics Algorithmus Kombinatorische Optimierung Phasenumwandlung Statistische Mechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010765047&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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