Paradigms for fast parallel approximability:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2009
|
| Edition: | 1. publ., digitally print. vers. |
| Series: | Cambridge international series on parallel computation
8 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 158 S. graph. Darst. |
| ISBN: | 9780521117920 9780521431705 0521431700 |
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| 245 | 1 | 0 | |a Paradigms for fast parallel approximability |c Josep Díaz ... |
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| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2009 | |
| 300 | |a VIII, 158 S. |b graph. Darst. | ||
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Record in the Search Index
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| adam_text | Contents
Preface page vii
1
Introduction
1
1.1
Sequential and Parallel Computation
2
1.2
Some Problems to Approximate
4
1.3
Realistic Models
9
2
Basic Concepts
12
2.1
The PRAM Model of Computation
12
2.2
Randomized PRAM Computation
14
2.3
P-Completeness
19
2.4
Approximation Algorithms
22
2.5
Parallel Approximation Classes
24
2.6
Approximation Preserving Reductions
26
2.7
Pseudo-NC Algorithms and Approximation
28
3
Extremal Graph Properties
32
3.1
The Induced Subgraph of High Weight is in NCX
33
3.2
Examples of Linear Extremal Graph Properties
35
4
Rounding, Interval Partitioning and Separation
39
4.1
The Subset Sum Problem
41
4.2
Maximum Flow and Weighted Matching
43
4.3
Approximating Maximum Flow
49
4.4
Approximating Maximum Weight Matching
51
4.5
NC Approximations to Flows and Matchings
53
5
Primal-Dual Method
55
5.1
Positive Linear Programming
56
5.2
Further Applications
63
5.3
The Vertex Cover Problem
64
vi
6
Graph Decomposition
68
6.1
Planar Graphs
69
6.2
The Maximum Independent Set for Outerplanar Graphs
74
6.3
The Maximum Independent Set for k-Outerplanar Graphs
84
6.4
The Maximum Independent Set problem for Planar Graphs
92
7
Further Parallel Approximations
94
7.1
The Minimum Metric Traveling Salesperson Problem
94
7.2
Bin Packing
97
7.3
More Cut Problems
105
7.4
Other Problems
106
8
Non-Approximability
108
8.1
The High Connected Subgraph Problem
109
8.2
Linear Programming
118
8.3
The Nearest Neighbor Heuristic
124
9
Syntactically Defined Classes
128
9.1
MaxNP and MaxSNP
129
9.2
Limits for the Approximation
133
Appendix
1
Definition of Problems
137
Bibliography
145
Author index
153
Subject index
155
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| illustrated | Illustrated |
| indexdate | 2024-07-09T21:41:28Z |
| institution | BVB |
| isbn | 9780521117920 9780521431705 0521431700 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017660309 |
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| physical | VIII, 158 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | Cambridge international series on parallel computation |
| series2 | Cambridge international series on parallel computation |
| spelling | Paradigms for fast parallel approximability Josep Díaz ... 1. publ., digitally print. vers. Cambridge [u.a.] Cambridge Univ. Press 2009 VIII, 158 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge international series on parallel computation 8 Parallel processing (Electronic computers) Parallelrechner (DE-588)4173280-7 gnd rswk-swf Parallelrechner (DE-588)4173280-7 s DE-604 Díaz, Josep 1950- Sonstige (DE-588)115511555 oth Cambridge international series on parallel computation 8 (DE-604)BV004586867 8 Digitalisierung UB Bamberg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017660309&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Paradigms for fast parallel approximability Cambridge international series on parallel computation Parallel processing (Electronic computers) Parallelrechner (DE-588)4173280-7 gnd |
| subject_GND | (DE-588)4173280-7 |
| title | Paradigms for fast parallel approximability |
| title_auth | Paradigms for fast parallel approximability |
| title_exact_search | Paradigms for fast parallel approximability |
| title_full | Paradigms for fast parallel approximability Josep Díaz ... |
| title_fullStr | Paradigms for fast parallel approximability Josep Díaz ... |
| title_full_unstemmed | Paradigms for fast parallel approximability Josep Díaz ... |
| title_short | Paradigms for fast parallel approximability |
| title_sort | paradigms for fast parallel approximability |
| topic | Parallel processing (Electronic computers) Parallelrechner (DE-588)4173280-7 gnd |
| topic_facet | Parallel processing (Electronic computers) Parallelrechner |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017660309&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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