Static and dynamic graph partitioning: a comparative study of existing algorithms
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Berlin
Logos-Verl.
2002
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 176 S. graph. Darst. : 24 cm |
| ISBN: | 3897229234 |
Staff View
MARC
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| 100 | 1 | |a Elsner, Ulrich |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Static and dynamic graph partitioning |b a comparative study of existing algorithms |c vogelegt von Ulrich Elsner |
| 264 | 1 | |a Berlin |b Logos-Verl. |c 2002 | |
| 300 | |a X, 176 S. |b graph. Darst. : 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 502 | |a Chemnitz, Techn. Univ., Diss., 2002 | ||
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Record in the Search Index
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|---|---|
| adam_text |
CONTENTS
INTRODUCTION
V
NOTATION
IX
1
THE
PROBLEM
1
1.1
INTRODUCTION
.
1
1.2
GRAPH
PARTITIONING
.
2
1.3
EXAMPLES
.
5
1.3.1
PARTIAL
DIFFERENTIAL
EQUATIONS
.
5
1.3.2
SPARSE
MATRIX-VECTOR
MULTIPLICATION
.
7
1.3.3
OTHER
APPLICATIONS
.
10
1.4
TIME
VS.
QUALITY
.
10
2
MISCELLANEOUS
ALGORITHMS
13
2.1
INTRODUCTION
.
13
2.2
RECURSIVE
BISECTION
.
13
2.3
PARTITIONING
WITH
GEOMETRIC
INFORMATION
.
17
2.3.1
COORDINATE
BISECTION
.
18
2.3.2
INERTIAL
BISECTION
.
19
2.3.3
SPACEFILLING
CURVES
.
21
2.3.4
GEOMETRIC
PARTITIONING
.
24
3
PARTITIONING
WITHOUT
GEOMETRIC
INFORMATION
29
3.1
INTRODUCTION
.
29
3.2
GRAPH
GROWING
AND
GREEDY
ALGORITHMS
.
29
3.3
KERNIGHAN-LIN
ALGORITHM
.
31
3.4
HELPFUL
SETS
.
35
3.4.1
FINDING
HELPFUL
AND
BALANCING
SETS
.
37
3.5
SPECTRAL
BISECTION
.
41
CONTENTS
3.5.1
PREPARATIONS
.
41
3.5.2
SIMPLE
SPECTRAL
BISECTION
.
44
3.5.3
A
COUNTEREXAMPLE
.
48
3.5.4
SPECTRAL
BISECTION
FOR
WEIGHTED
GRAPHS
.
49
3.5.5
SPECTRAL
QUADRI
AND
OCTASECTION
.
51
3.5.6
EIGENVECTORS
AS
EUCLIDIAN
SPACE
.
53
3.5.7
MULTILEVEL
SPECTRAL
BISECTION
.
55
3.5.8
ALGEBRAIC
MULTILEVEL
.
59
3.6
MULTILEVEL
PARTITIONING
.
61
3.6.1
COARSENING
THE
GRAPH
.
62
3.6.2
PARTITIONING
THE
SMALLEST
GRAPH
.
65
3.6.3
PROJECTING
UP
AND
REFINING
THE
PARTITION
.
66
3.7
OTHER
METHODS
.
66
4
DYNAMIC
GRAPH
PARTITIONING
67
4.1
INTRODUCTION
.
67
4.1.1
DYNAMIC
GRAPH
PARTITIONING
.
67
4.1.2
EXAMPLES
.
70
4.1.3
SIMPLIFICATIONS
.
72
4.2
INTELLIGENT
REASSIGNMENT
.
72
4.3
DIFFUSION
TYPE
ALGORITHMS
.
78
4.3.1
DIRECTED
AND
UNDIRECTED
DIFFUSION
.
78
4.3.2
HU
AND
BLAKE
'
S
ALGORITHM
.
79
4.3.3
MOVING
VERTICES
.
82
4.3.4
MULTILEVEL
DIFFUSION
ALGORITHMS
.
86
4.4
HARP
IN
A
DYNAMIC
SETTING
.
89
5
COMPUTATIONAL
RESULTS
91
5.1
INTRODUCTION
.
91
5.1.1
PRESENTATION
OF
RESULTS
.
91
5.2
STATIC
GRAPH
PARTITIONING
.
92
5.2.1
THE
GRAPHS
.
92
5.2.2
THE
ALGORITHMS
FOR
STATIC
GRAPH
PARTITIONING
.
94
5.2.3
INFLUENCE
OF
PARAMETERS
.
97
5.2.4
PERFORMANCE
OF
DIFFERENT
ALGORITHMS
.
116
5.2.5
RANDOM
DEVIATIONS
-
DEVIOUS
RANDOMIZATION
.
127
II
CONTENTS
5.2.6
PRACTICAL
APPLICATIONS
.
139
5.3
DYNAMIC
GRAPH
PARTITIONING
.
149
5.3.1
THE
ALGORITHMS
FOR
DYNAMIC
GRAPH
PARTITIONING
.
.
.
.150
5.3.2
THE
SCENARIOS
.
151
5.3.3
ANALYSIS
OF
RESULTS
.
153
5.3.4
CONCLUSION
.
163
BIBLIOGRAPHY
167
III |
| any_adam_object | 1 |
| author | Elsner, Ulrich |
| author_facet | Elsner, Ulrich |
| author_role | aut |
| author_sort | Elsner, Ulrich |
| author_variant | u e ue |
| building | Verbundindex |
| bvnumber | BV014393077 |
| ctrlnum | (OCoLC)52270944 (DE-599)BVBBV014393077 |
| dewey-full | 518.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518.1 |
| dewey-search | 518.1 |
| dewey-sort | 3518.1 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| id | DE-604.BV014393077 |
| illustrated | Illustrated |
| indexdate | 2024-08-23T00:33:00Z |
| institution | BVB |
| isbn | 3897229234 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009852572 |
| oclc_num | 52270944 |
| open_access_boolean | |
| owner | DE-29T DE-706 DE-188 |
| owner_facet | DE-29T DE-706 DE-188 |
| physical | X, 176 S. graph. Darst. : 24 cm |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Logos-Verl. |
| record_format | marc |
| spelling | Elsner, Ulrich Verfasser aut Static and dynamic graph partitioning a comparative study of existing algorithms vogelegt von Ulrich Elsner Berlin Logos-Verl. 2002 X, 176 S. graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Chemnitz, Techn. Univ., Diss., 2002 Graph (DE-588)4021842-9 gnd rswk-swf Dekomposition (DE-588)4149030-7 gnd rswk-swf Algorithmus (DE-588)4001183-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Graph (DE-588)4021842-9 s Dekomposition (DE-588)4149030-7 s Algorithmus (DE-588)4001183-5 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009852572&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Elsner, Ulrich Static and dynamic graph partitioning a comparative study of existing algorithms Graph (DE-588)4021842-9 gnd Dekomposition (DE-588)4149030-7 gnd Algorithmus (DE-588)4001183-5 gnd |
| subject_GND | (DE-588)4021842-9 (DE-588)4149030-7 (DE-588)4001183-5 (DE-588)4113937-9 |
| title | Static and dynamic graph partitioning a comparative study of existing algorithms |
| title_auth | Static and dynamic graph partitioning a comparative study of existing algorithms |
| title_exact_search | Static and dynamic graph partitioning a comparative study of existing algorithms |
| title_full | Static and dynamic graph partitioning a comparative study of existing algorithms vogelegt von Ulrich Elsner |
| title_fullStr | Static and dynamic graph partitioning a comparative study of existing algorithms vogelegt von Ulrich Elsner |
| title_full_unstemmed | Static and dynamic graph partitioning a comparative study of existing algorithms vogelegt von Ulrich Elsner |
| title_short | Static and dynamic graph partitioning |
| title_sort | static and dynamic graph partitioning a comparative study of existing algorithms |
| title_sub | a comparative study of existing algorithms |
| topic | Graph (DE-588)4021842-9 gnd Dekomposition (DE-588)4149030-7 gnd Algorithmus (DE-588)4001183-5 gnd |
| topic_facet | Graph Dekomposition Algorithmus Hochschulschrift |
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