Résumé
Robert Sedgewick has thoroughly rewritten and substantially
expanded his popular work to provide current and
comprehensive coverage of important algorithms and data
structures. Many new algorithms are presented, and the
explanations of each algorithm are much more detailed than
in previous editions. Parts 1-4 represent the essential
first half of Sedgewick's complete work. It provides
extensive coverage of fundamental data structures and
algorithms for sorting, searching, and related
applications.
Table of contents :
Fundamentals
Chapter 1. Introduction ..... 3
- 1.1 Algorithms ..... 4
1.2 A Sample Problem--Connectivity ..... 6
1.3 Union-Find Algorithms ..... 11
1.4 Perspective ..... 22
1.5 Summary of Topics ..... 23
Chapter 2. Principles of
Algorithm Analysis ..... 27
- 2.1 Implementation and Empirical Analysis .....
28
2.2 Analysis of Algorithms ..... 33
2.3 Growth of Functions ..... 36
2.4 Big-Oh notation ..... 44
2.5 Basic Recurrences ..... 49
2.6 Examples of Algorithm Analysis ..... 53
2.7 Guarantees, Predictions, and Limitations ..... 60
Data Structures
Chapter 3. Elementary Data Structures .....
69
- 3.1 Building Blocks ..... 70
3.2 Arrays ..... 83
3.3 Linked Lists ..... 90
3.4 Elementary List Processing ..... 96
3.5 Memory Allocation for Lists ..... 105
3.6 Strings ..... 108
3.7 Compound Data Structures ..... 115
Chapter 4. Abstract Data Types ..... 127
- 4.1 Abstract Objects and Collections of Objects .....
131
4.2 Pushdown Stack ADT ..... 135
4.3 Examples of Stack ADT Clients ..... 138
4.4 Stack ADT Implementations ..... 145
4.5 Creation of a New ADT ..... 149
4.6 FIFO Queues and Generalized Queues ..... 153
4.7 Duplicate and Index Items ..... 161
4.8 First-Class ADTs ..... 166
4.9 Application-Based ADT Example ..... 179
4.10 Perspective ..... 185
Chapter 5. Recursion and Trees ..... 187
- 5.1 Recursive Algorithms ..... 188
5.2 Divide and Conquer ..... 196
5.3 Dynamic Programming ..... 209
5.4 Trees ..... 217
5.5 Mathematical Properties of Trees ..... 226
5.6 Tree Traversal ..... 230
5.7 Recursive Binary-Tree Algorithms ..... 236
5.8 Graph Traversal ..... 241
5.9 Perspective ..... 248
Chapter 6. Elementary Sorting Methods .....
253
- 6.1 Rules of the Game ..... 255
6.2 Selection Sort ..... 261
6.3 Insertion Sort ..... 262
6.4 Bubble Sort ..... 265
6.5 Performance Characteristics of Elementary Sorts ..... 267
6.6 Shellsort ..... 273
6.7 Sorting Other Types of Data ..... 282
6.8 Index and Pointer Sorting ..... 287
6.9 Sorting Linked Lists ..... 295
6.10 Key-Indexed Counting ..... 298
Chapter 7. Quicksort ..... 303
- 7.1 The Basic Algorithm ..... 304
7.2 Performance Characteristics of Quicksort ..... 309
7.3 Stack Size ..... 313
7.4 Small Subfiles ..... 316
7.5 Median-of-Three Partitioning ..... 319
7.6 Duplicate Keys ..... 324
7.7 Strings and Vectors ..... 327
7.8 Selection ..... 329
Chapter 8. Mergesort ..... 335
- 8.1 Two-Way Merging ..... 336
8.2 Abstract In-place Merge ..... 339
8.3 Top-Down Mergesort ..... 341
8.4 Improvements to the Basic Algorithm ..... 344
8.5 Bottom-Up Mergesort ..... 347
8.6 Performance Characteristics of Mergesort ..... 351
8.7 Linked-List Implementations of Mergesort ..... 354
8.8 Recursion Revisited ..... 357
Chapter 9. Priority Queues and Heapsort .....
361
- 9.1 Elementary Implementations ..... 365
9.2 Heap Data Structure ..... 369
9.3 Algorithms on Heaps ..... 371
9.4 Heapsort ..... 377
9.5 Priority-Queue ADT ..... 384
9.6 Priority Queues for Index Items ..... 389
9.7 Binomial Queues ..... 392
Chapter 10. Radix Sorting ..... 403
- 10.1 Bits, Bytes, and Words ..... 405
10.2 Binary Quicksort ..... 409
10.3 MSD Radix Sort ..... 413
10.4 Three-Way Radix Quicksort ..... 421
10.5 LSD Radix Sort ..... 425
10.6 Performance Characteristics of Radix Sorts ..... 429
10.7 Sublinear-Time Sorts ..... 433
Chapter 11. Special-Purpose Sorts ..... 439
- 11.1 Batcher's Odd-Even Mergesort ..... 441
11.2 Sorting Networks ..... 446
11.3 External Sorting ..... 454
11.4 Sort-Merge Implementations ..... 460
11.5 Parallel Sort/Merge ..... 467
Searching
Chapter 12. Symbol Tables and BSTs .....
477
- 12.1 Symbol-Table Abstract Data Type ..... 479
12.2 Key-Indexed Search ..... 485
12.3 Sequential Search ..... 489
12.4 Binary Search ..... 497
12.5 Binary Search Trees (BSTs) ..... 502
12.6 Performance Characteristics of BSTs ..... 508
12.7 Index Implementations with Symbol Tables ..... 511
12.8 Insertion at the Root in BSTs ..... 516
12.9 BST Implementations of Other ADT Functions ..... 520
Chapter 13. Balanced Trees ..... 529
- 13.1 Randomized BSTs ..... 533
13.2 Splay BSTs ..... 540
13.3 Top-Down 2-3-4 Trees ..... 546
13.4 Red-Black Trees ..... 551
13.5 Skip Lists ..... 561
13.6 Performance Characteristics ..... 569
Chapter 14. Hashing ..... 573
- 14.1 Hash Functions ..... 574
14.2 Separate Chaining ..... 583
14.3 Linear Probing ..... 588
14.4 Double Hashing ..... 594
14.5 Dynamic Hash Tables ..... 599
14.6 Perspective ..... 603
Chapter 15. Radix Search .....
609
- 15.1 Digital Search Trees ..... 610
15.2 Tries ..... 614
15.3 Patricia Tries ..... 623
15.4 Multiway Tries and TSTs ..... 632
15.5 Text String Index Applications ..... 649
Chapter 16. External Searching ..... 655
- 16.1 Rules of the Game ..... 657
16.2 Indexed Sequential Access ..... 660
16.3 B Trees ..... 662
16.4 Extendible Hashing ..... 676
16.5 Perspective ..... 689
Index ..... 693
L'auteur - Robert Sedgewick
Robert Sedgewick , spécialiste des algorithmes mondialement reconnu, dirige le département d'informatique de l'université de Princeton.
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Addison Wesley |
| Auteur(s) | Robert Sedgewick |
| Parution | 07/11/1997 |
| Nb. de pages | 650 |
| EAN13 | 9780201314526 |
| ISBN13 | 978-0-201-31452-6 |
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