Randomized algorithms:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
1995
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke. |
| Physical Description: | XIV, 476 S. graph. Darst. |
| ISBN: | 0521474655 9780521474658 |
Staff View
MARC
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| 100 | 1 | |a Motwani, Rajeev |d 1962-2009 |e Verfasser |0 (DE-588)124195199 |4 aut | |
| 245 | 1 | 0 | |a Randomized algorithms |c Rajeev Motwani ; Prabhakar Raghavan |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 1995 | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface
ix
I Tools and Techniques
1
1
Introduction
3
1.1
A Min-Cut Algorithm
7
1.2
Las Vegas and Monte Carlo
9
1.3
Binary Planar Partitions
10
1.4
A Probabilistic Recurrence
15
1.5
Computation Model and Complexity Classes
16
Notes
23
Problems
25
2
Game-Theoretic Techniques
28
2.1
Game Tree Evaluation
28
2.2
The Minimax Principle
31
2.3
Randomness and Non-uniformity
38
Notes
40
Problems
41
3
Moments and Deviations
43
3.1
Occupancy Problems
43
3.2
The Markov and Chebyshev Inequalities
45
3.3
Randomized Selection
47
3.4
Two-Point Sampling
51
3.5
The Stable Marriage Problem
53
3.6
The Coupon Collector s Problem
57
Notes
63
Problems
64
4
Tail Inequalities
67
4.1
The Chernoff Bound
67
CO
NTRN
TS
74
4.2 Routing
in a
Parallel Computer
4.3
A Wiring
Problem
4.4
Martingales %
Notes tj-j
Problems
5
The Probabilistic Method
5.1
Overview of the Method
5.2
Maximum Satisfiability
5.3
Expanding Graphs
5.4
Oblivious Routing Revisited
-
5.5
The
Lovász
Local Lemma
^
5.6
The Method of Conditional Probabilities
-l)
Notes
—
Problems
24
6
Markov Chains and Random Walks !-7
6.1
A 2-SAT Example
1
-x
6.2
Markov Chains
-9
6.3
Random Walks on Graphs
32
6.4
Electrical Networks
135
6.5
Cover Times
137
6.6
Graph Connectivity
139
6.7
Expanders and Rapidly Mixing Random Walks
ИЗ
6.8
Probability Amplification by Random Walks on Expanders
151
Notes
155
Problems
156
7
Algebraic Techniques
161
7.1
Fingerprinting and
Freivalds
Technique
162
7.2
Verifying Polynomial Identities
¡63
7.3
Perfect Matchings in Graphs
167
7.4
Verifying Equality of Strings
168
7.5
A Comparison of Fingerprinting Techniques
169
7.6
Pattern Matching
170
7.7
Interactive Proof Systems
172
7.8
PCP
and Efficient Proof Verification
180
Notes 186
Problems Igg
II Applications
195
8
Data Structures J97
8.1
The Fundamental Data-structuring Problem
197
vi
CONTENTS
8.2
Random Treaps
201
8.3
Skip Lists
209
8.4
Hash Tables
213
8.5
Hashing with O(l) Search Time
221
Notes
228
Problems
229
9
Geometric Algorithms and Linear Programming
234
9.1
Randomized Incremental Construction
234
9.2
Convex Hulls in the Plane
236
9.3
Duality
239
9.4
Half-space Intersections
241
9.5
Delaunay
Triangulations
245
9.6
Trapezoidal Decompositions
248
9.7
Binary Space Partitions
252
9.8
The Diameter of a Point Set
256
9.9
Random Sampling
258
9.10
Linear Programming
262
Notes
273
Problems
275
10
Graph Algorithms
278
10.1
All-pairs Shortest Paths
278
10.2
The Min-Cut Problem
289
10.3
Minimum Spanning Trees
296
Notes
302
Problems
304
11
Approximate Counting
306
11.1
Randomized Approximation Schemes
308
11.2
The DNF Counting Problem
310
11.3
Approximating the Permanent
315
11.4
Volume Estimation
329
Notes
331
Problems
333
12
Parallel and Distributed Algorithms
335
12.1
The PRAM Model
335
12.2
Sorting on a PRAM
337
12.3
Maximal Independent Sets
341
12.4
Perfect Matchings
347
12.5
The Choice Coordination Problem
355
12.6
Byzantine Agreement
358
Notes
361
Problems
363
vii
CONTENTS
13 Online
Algorithms
368
13.1
The Online Paging Problem
369
13.2
Adversary Models
372
13.3
Paging against an Oblivious Adversary
374
13.4
Relating the Adversaries
377
13.5
The Adaptive Online Adversary
381
13.6
The fc-Server Problem
384
Notes
387
Problems
389
14
Number Theory and Algebra
392
14.1
Preliminaries
392
14.2
Groups and Fields
395
14.3
Quadratic Residues
402
14.4
The RSA Cryptosystem
410
14.5
Polynomial Roots and Factors
412
14.6
Primality Testing
417
Notes
426
Problems
427
Appendix A IN
ota
t
iona
I Index
429
Appendix
В
Mathematical Background
433
Appendix
С
Basic Probability Theory
43g
References
ąą-j
Index 467
Vili
|
| any_adam_object | 1 |
| author | Motwani, Rajeev 1962-2009 Raghavan, Prabhakar |
| author_GND | (DE-588)124195199 (DE-588)136257062 |
| author_facet | Motwani, Rajeev 1962-2009 Raghavan, Prabhakar |
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| author_sort | Motwani, Rajeev 1962-2009 |
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| dewey-full | 004.015192 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 004 - Computer science |
| dewey-raw | 004.015192 |
| dewey-search | 004.015192 |
| dewey-sort | 14.015192 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
| edition | 1. publ. |
| format | Book |
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| language | English |
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| spelling | Motwani, Rajeev 1962-2009 Verfasser (DE-588)124195199 aut Randomized algorithms Rajeev Motwani ; Prabhakar Raghavan 1. publ. Cambridge [u.a.] Cambridge Univ. Press 1995 XIV, 476 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke. Algoritmos Procesos estocásticos - Procesamiento de datos Algorithmus (DE-588)4001183-5 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Randomisierter Algorithmus (DE-588)4176929-6 gnd rswk-swf Datenverarbeitung (DE-588)4011152-0 gnd rswk-swf Randomisierter Algorithmus (DE-588)4176929-6 s DE-604 Algorithmus (DE-588)4001183-5 s Stochastischer Prozess (DE-588)4057630-9 s Datenverarbeitung (DE-588)4011152-0 s Raghavan, Prabhakar Verfasser (DE-588)136257062 aut Digitalisierung UB Bamberg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006964509&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Motwani, Rajeev 1962-2009 Raghavan, Prabhakar Randomized algorithms Algoritmos Procesos estocásticos - Procesamiento de datos Algorithmus (DE-588)4001183-5 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Randomisierter Algorithmus (DE-588)4176929-6 gnd Datenverarbeitung (DE-588)4011152-0 gnd |
| subject_GND | (DE-588)4001183-5 (DE-588)4057630-9 (DE-588)4176929-6 (DE-588)4011152-0 |
| title | Randomized algorithms |
| title_auth | Randomized algorithms |
| title_exact_search | Randomized algorithms |
| title_full | Randomized algorithms Rajeev Motwani ; Prabhakar Raghavan |
| title_fullStr | Randomized algorithms Rajeev Motwani ; Prabhakar Raghavan |
| title_full_unstemmed | Randomized algorithms Rajeev Motwani ; Prabhakar Raghavan |
| title_short | Randomized algorithms |
| title_sort | randomized algorithms |
| topic | Algoritmos Procesos estocásticos - Procesamiento de datos Algorithmus (DE-588)4001183-5 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Randomisierter Algorithmus (DE-588)4176929-6 gnd Datenverarbeitung (DE-588)4011152-0 gnd |
| topic_facet | Algoritmos Procesos estocásticos - Procesamiento de datos Algorithmus Stochastischer Prozess Randomisierter Algorithmus Datenverarbeitung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006964509&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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