Fast randomized and parallel algorithms for cycle problems on graphs:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Mikrofilm Buch |
| Sprache: | German |
| Veröffentlicht: |
1997
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| Ausgabe: | [Mikrofiche-Ausg.] |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Bonn, Univ., Diss., 1997. - Mikrofiche-Ausg.: 1 Mikrofiche : 24x |
| Beschreibung: | II, 57 Bl. graph. Darst. |
Internformat
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Datensatz im Suchindex
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CONTENTS
1 INTRODUCTION 1
2 MODELS FOR PARALLEL COMPUTATION 5
2.1 THE PRAM MODEL. 6
2.2 RELATION BETWEEN THE PRAM MODELS. 7
2.3 EFFICIENT PRAM ALGORITHMS. 8
2.4 DATA STRUCTURES. 9
3 COMPACT REPRESENTATIONS OF PLANAR GRAPHS 10
3.1 THE BASIC IDEA OF THE ALGORITHM. 10
3.2 PARALLEL EXECUTION OF REDUCTIONS. 11
3.3 THE ALGORITHM. 13
4 FINDING SIMPLE CYCLES IN PLANAR GRAPHS 16
4.1 PARALLEL GRAPH CONTRACTION. 17
4.2 FINDING TRIANGLES. 19
4.3 FINDING SIMPLE CYCLES
20
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/952306387
CONTENTS
YY YY
11
5 IMPROVING THE RUNNING TIME OF A CLASS OF EREW-PRAM ALGORITHMS 24
5.1 FINDING LARGE INDEPENDENT SETS IN CONSTANT TIME. 25
5.2 AN APPLICATION: COMPACT REPRESENTATIONS. 28
5.3 FURTHER RESULTS. 30
6 FINDING SIMPLE CYCLES IN GENERAL GRAPHS
31
6.1 THE PRIME-PRODUCT METHOD. 32
6.2 DERANDOMIZATION. 34
6.3 AN OPTIMAL PARALLEL EREW-PRAM ALGORITHM . . . 36
7 APPROXIMATE COUNTING OF GIVEN LENGTH CYCLES
39
7.1 APPROXIMATION ALGORITHMS . 40
7.2 AN (C, (^-APPROXIMATION FOR COUNTING SIMPLE CYCLES. 40
8 CONCLUSIONS AND OPEN PROBLEMS 46
A APPENDIX
4
G
A.L THE GEOMETRIC DISTRIBUTION. 48
A.2 THE COMPUTATION OF PRIME NUMBERS. 49
A.3 THE ESTIMATOR THEOREM OF BERNSTEIN. 50 |
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| id | DE-604.BV011816567 |
| illustrated | Illustrated |
| indexdate | 2024-10-09T16:06:41Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007979151 |
| oclc_num | 634666057 |
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| physical | II, 57 Bl. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
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| spelling | Dorgerloh, Carsten F. Verfasser (DE-588)11800493X aut Fast randomized and parallel algorithms for cycle problems on graphs von Carsten F. Dorgerloh [Mikrofiche-Ausg.] 1997 II, 57 Bl. graph. Darst. txt rdacontent h rdamedia he rdacarrier Bonn, Univ., Diss., 1997. - Mikrofiche-Ausg.: 1 Mikrofiche : 24x Graphentheorie (DE-588)4113782-6 gnd rswk-swf Randomisierter Algorithmus (DE-588)4176929-6 gnd rswk-swf Paralleler Algorithmus (DE-588)4193615-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Graphentheorie (DE-588)4113782-6 s Paralleler Algorithmus (DE-588)4193615-2 s Randomisierter Algorithmus (DE-588)4176929-6 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007979151&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dorgerloh, Carsten F. Fast randomized and parallel algorithms for cycle problems on graphs Graphentheorie (DE-588)4113782-6 gnd Randomisierter Algorithmus (DE-588)4176929-6 gnd Paralleler Algorithmus (DE-588)4193615-2 gnd |
| subject_GND | (DE-588)4113782-6 (DE-588)4176929-6 (DE-588)4193615-2 (DE-588)4113937-9 |
| title | Fast randomized and parallel algorithms for cycle problems on graphs |
| title_auth | Fast randomized and parallel algorithms for cycle problems on graphs |
| title_exact_search | Fast randomized and parallel algorithms for cycle problems on graphs |
| title_full | Fast randomized and parallel algorithms for cycle problems on graphs von Carsten F. Dorgerloh |
| title_fullStr | Fast randomized and parallel algorithms for cycle problems on graphs von Carsten F. Dorgerloh |
| title_full_unstemmed | Fast randomized and parallel algorithms for cycle problems on graphs von Carsten F. Dorgerloh |
| title_short | Fast randomized and parallel algorithms for cycle problems on graphs |
| title_sort | fast randomized and parallel algorithms for cycle problems on graphs |
| topic | Graphentheorie (DE-588)4113782-6 gnd Randomisierter Algorithmus (DE-588)4176929-6 gnd Paralleler Algorithmus (DE-588)4193615-2 gnd |
| topic_facet | Graphentheorie Randomisierter Algorithmus Paralleler Algorithmus Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007979151&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT dorgerlohcarstenf fastrandomizedandparallelalgorithmsforcycleproblemsongraphs |