Verfügbarkeit: Computer algorithms | Technische Universität München

Computer algorithms:

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Bibliographische Detailangaben
Beteiligte Personen:	Horowitz, Ellis 1944- (VerfasserIn), Sahni, Sartaj 1949- (VerfasserIn), Rajasekaran, Sanguthevar 1957- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Summit, NJ Silicon Press 2008
Ausgabe:	2. ed.
Schlagwörter:	Computer algorithms Pseudocode (Computer program language) Algorithmus Computer
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016509577&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016509577&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	3. Verf. in Vorlage mehrfach fälschlicherweise als "Rajasekeran" angegeben!
Umfang:	XX, 773, 11 S. graph. Darst.
ISBN:	9780929306414

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Datensatz im Suchindex

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adam_text	Contents PREFACE v 1 INTRODUCTION 1 1.1 WHAT IS AN ALGORITHM? ................. 1 1.2 ALGORITHM SPECIFICATION ................ 5 1.2.1 Pseudocode Conventions ................. 5 1.2.2 Recursive Algorithms .................. Ю 1.3 PERFORMANCE ANALYSIS ................. 14 1.3.1 Space Complexity .................... 15 1.3.2 Time Complexity ..................... 17 1.3.3 Amortized Complexity .................. 28 1.3.4 Asymptotic Notation (Ο, Ω, Θ) ............ 39 1.3.5 Practical Complexities .................. 47 1.3.6 Performance Measurement ................ 50 1.4 RANDOMIZED ALGORITHMS ................ 62 1.4.1 Basics of Probability Theory .............. 62 1.4.2 Randomized Algorithms: An Informal Description . · 67 1.4.3 Identifying the Repeated Element ........... 68 1.4.4 Primality Testing ..................... 70 1.4.5 Advantages and Disadvantages ............. 74 1.5 REFERENCES AND READINGS ............... 77 2 ELEMENTARY DATA STRUCTURES 79 2.1 STACKS AND QUEUES .................... 79 2.2 TREES .............................. 87 2.2.1 Terminology ....................... 87 2.2.2 Binary Trees ....................... 88 2.3 DICTIONARIES ......................... 92 Xli CONTENTS xiii 2.3.1 Binary Search Trees ................... 93 2.4 PRIORITY QUEUES ......................100 2.4.1 Heaps ...........................101 2.4.2 Heap Sort .........................107 2.5 SETS AND DISJOINT SET UNION ..............110 2.5.1 Introduction .......................110 2.5.2 Union and Find Operations ............... Ill 2.6 GRAPHS .............................121 2.6.1 Introduction ....................... 121 2.6.2 Definitions ........................ 121 2.6.3 Graph Representations .................. 126 2.7 REFERENCES AND READINGS ............... 135 3 DIVIDE AND CONQUER 136 3.1 GENERAL METHOD ...................... 136 3.2 DEFECTIVE CHESSBOARD ................. 141 3.3 BINARY SEARCH ........................ 145 3.4 FINDING THE MAXIMUM AND MINIMUM ......................... 153 3.5 MERGE SORT .......................... 159 3.6 QUICK SORT .......................... 168 3.6.1 Performance Measurement ................ 172 3.6.2 Randomized Sorting Algorithms ............ 174 3.7 SELECTION ........................... 178 3.7.1 A Worst-Case Optimal Algorithm ........... 182 3.7.2 Implementation of Select2 ................ 186 3.8 STRASSEN S MATRIX MULTIPLICATION ......... 192 3.9 CONVEX HULL ......................... 197 3.9.1 Some Geometric Primitives ............... 198 3.9.2 The QuickHull Algorithm ................ 199 3.9.3 Graham s Scan ...................... 200 3.9.4 An Ο (η log η) Divide-and-Conquer Algorithm ..... 203 3.10 REFERENCES AND READINGS ............... 207 3.11 ADDITIONAL EXERCISES .................. 207 4 THE GREEDY METHOD 210 4.1 THE GENERAL METHOD ...................210 4.2 CONTAINER LOADING ....................214 4.3 KNAPSACK PROBLEM ....................218 xiv CONTENTS 4.4 TREE VERTEX SPLITTING ..................222 4.5 JOB SEQUENCING WITH DEADLINES ...........227 4.6 MINIMUM-COST SPANNING TREES ............236 4.6.1 Prim s Algorithm ..................... 237 4.6.2 Kruskal s Algorithm ................... 239 4.6.3 An Optimal Randomized Algorithm ()........ 244 4.7 OPTIMAL STORAGE ON TAPES .............. 249 4.8 OPTIMAL MERGE PATTERNS ................ 253 4.9 SINGLE-SOURCE SHORTEST PATHS ............ 260 4.10 REFERENCES AND READINGS ............... 268 4.11 ADDITIONAL EXERCISES .................. 269 5 DYNAMIC PROGRAMMING 272 5.1 THE GENERAL METHOD ...................272 5.2 MULTISTAGE GRAPHS ....................276 5.3 ALL-PAIRS SHORTEST PATHS ................284 5.4 SINGLE-SOURCE SHORTEST PATHS: GENERAL WEIGHTS .....................288 5.5 OPTIMAL BINARY SEARCH TREES ()..........293 5.6 STRING EDITING .......................302 5.7 0/1 KNAPSACK .........................305 5.8 RELIABILITY DESIGN .....................315 5.9 THE TRAVELING SALESPERSON PROBLEM ............................318 5.10 FLOW SHOP SCHEDULING ..................321 5.11 REFERENCES AND READINGS ...............327 5.12 ADDITIONAL EXERCISES ..................327 6 BASIC TRAVERSAL AND SEARCH TECHNIQUES 333 6.1 TECHNIQUES FOR BINARY TREES ............333 6.2 TECHNIQUES FOR GRAPHS .................338 6.2.1 Breadth First Search and Traversal ...........340 6.2.2 Depth First Search and Traversal ............343 6.3 CONNECTED COMPONENTS AND SPANNING TREES .......................345 6.4 BICONNECTED COMPONENTS AND DFS .........349 6.5 REFERENCES AND READINGS ...............358 CONTENTS xv 7 BACKTRACKING 359 7.1 THE GENERAL METHOD ................... 359 7.2 THE 8-QUEENS PROBLEM .................. 373 7.3 SUM OF SUBSETS ....................... 377 7.4 GRAPH COLORING ...................... 380 7.5 HAMILTONIAN CYCLES ................... 384 7.6 KNAPSACK PROBLEM .................... 387 7.7 REFERENCES AND READINGS ............... 393 7.8 ADDITIONAL EXERCISES .................. 394 8 BRANCH AND BOUND 399 8.1 THE METHOD ......................... 399 8.1.1 Least Cost (LC) Search ................. 400 8.1.2 The 15-puzzle: An Example ............... 402 8.1.3 Control Abstractions for LC-Search .......... 406 8.1.4 Bounding ......................... 408 8.1.5 FIFO Branch-and-Bound ................ 411 8.1.6 LC Branch-and-Bound .................. 412 8.2 0/1 KNAPSACK PROBLEM .................. 413 8.2.1 LC Branch-and-Bound Solution ............. 414 8.2.2 FIFO Branch-and-Bound Solution ........... 417 8.3 TRAVELING SALESPERSON ()............... 422 8.4 EFFICIENCY CONSIDERATIONS .............. 431 8.5 REFERENCES AND READINGS ............... 434 9 ALGEBRAIC PROBLEMS 436 9.1 THE GENERAL METHOD ................... 436 9.2 EVALUATION AND INTERPOLATION ........... 439 9.3 THE FAST FOURIER TRANSFORM ............. 448 9.3.1 An In-place Version of the FFT ............. 454 9.3.2 Some Remaining Points ................. 457 9.4 MODULAR ARITHMETIC ................... 458 9.5 EVEN FASTER EVALUATION AND INTERPOLATION .................... 466 9.6 REFERENCES AND READINGS ............... 474 xvi CONTENTS 10 LOWER BOUND THEORY 476 10.1 COMPARISON TREES ..................... 477 10.1.1 Ordered Searching .................... 478 10.1.2 Sorting .......................... 478 10.1.3 Selection ......................... 483 10.2 ORACLES AND ADVERSARY ARGUMENTS ................. 485 10.2.1 Merging .......................... 486 10.2.2 Largest and Second Largest ............... 487 10.2.3 State Space Method ................... 489 10.2.4 Selection ......................... 490 10.3 LOWER BOUNDS THROUGH REDUCTIONS ................... 493 10.3.1 Finding the Convex Hull ................. 494 10.3.2 Disjoint Sets Problem .................. 494 10.3.3 On-line Median Finding ................. 496 10.3.4 Multiplying Triangular Matrices ............ 496 10.3.5 Inverting a Lower Triangular Matrix .......... 497 10.3.6 Computing the Transitive Closure ........... 499 10.4 TECHNIQUES FOR ALGEBRAIC PROBLEMS ()................. 503 10.5 REFERENCES AND READINGS ............... 512 11 tfP-HAKD AND JVP-COMPLETE PROBLEMS 514 11.1 BASIC CONCEPTS ....................... 514 11.1.1 Nondeterministic Algorithms .............. 515 11.1.2 The Classes JvT-hard and jVP-complete ........ 523 11.2 COOK S THEOREM () .................... 527 11.3 Λίν -UARD GRAPH PROBLEMS ............... 536 11.3.1 CUque Decision Problem (CDP) ............ 537 11.3.2 Node Cover Decision Problem (NCDP) ........ 538 11.3.3 Chromatic Number Decision Problem (CNDP) .... 539 11.3.4 Directed Hamiltonian Cycle (DHC) () ........ 541 11.3.5 Traveling Salesperson Decision Problem (TSP) .... 545 11.3.6 AND/OR Graph Decision Problem (AOG) ...... 545 11.4 TVP-HARD SCHEDULING PROBLEMS ........... 552 11.4.1 Scheduling Identical Processors ............. 553 11.4.2 Flow Shop Scheduling .................. 555 CONTENTS xvii 11.4.3 Job Shop Scheduling ...................557 11.5 AfV-RAKD CODE GENERATION PROBLEMS ........................... 559 11.5.1 Code Generation with Common Subexpressions .... 562 11.5.2 Implementing Parallel Assignment Instructions .... 565 11.6 SOME SIMPLIFIED AfV-RAKD PROBLEMS ....................568 11.7 REFERENCES AND READINGS ...............572 11.8 ADDITIONAL EXERCISES ..................572 12 APPROXIMATION ALGORITHMS 576 12.1 INTRODUCTION ........................576 12.2 ABSOLUTE APPROXIMATIONS ............... 580 12.2.1 Planar Graph Coloring ..................580 12.2.2 Maximum Programs Stored Problem ..........580 12.2.3 AfV-hard Absolute Approximations ..........582 12.3 e-APPROXIMATIONS ......................584 12.3.1 Scheduling Independent Tasks .............584 12.3.2 Bin Packing ........................588 12.3.3 ./V^-hard е -approximation Problems ..........591 12.4 POLYNOMIAL TIME APPROXIMATION SCHEMES ... 597 12.4.1 Scheduling Independent Tasks .............597 12.4.2 0/1 Knapsack ......................599 12.5 FULLY POLYNOMIAL TIME APPROXIMATION SCHEMES .................604 12.5.1 Rounding .........................605 12.5.2 Interval Partitioning ...................609 12.5.3 Separation ........................610 12.6 PROBABILISTICALLY GOOD ALGORITHMS ()........................615 12.7 REFERENCES AND READINGS ...............618 12.8 ADDITIONAL EXERCISES ..................618 13 PRAM ALGORITHMS 623 13.1 INTRODUCTION ........................623 13.2 COMPUTATIONAL MODEL ..................626 13.3 FUNDAMENTAL TECHNIQUES AND ALGORITHMS ......................632 13.3.1 Prefix Computation ...................633 XVIII CONTENTS 13.3.2 List Ranking ....................... 635 13.4 SELECTION ........................... 644 13.4.1 Maximal Selection with n2 Processors ......... 645 13.4.2 Finding the Maximum Using η Processors ....... 646 13.4.3 Maximal Selection Among Integers ........... 646 13.4.4 General Selection Using n2 Processors ......... 649 13.4.5 A Work-Optimal Randomized Algorithm () ..... 649 13.5 MERGING ............................ 653 13.5.1 A Logarithmic Time Algorithm ............. 653 13.5.2 Odd-Even Merge ..................... 654 13.5.3 A Work-Optimal Algorithm ............... 656 13.5.4 An O(log log m)-Time Algorithm ............ 658 13.6 SORTING ............................. 660 13.6.1 Odd-Even Merge Sort .................. 660 13.6.2 An Alternative Randomized Algorithm ......... 661 13.6.3 Preparata s Algorithm .................. 662 13.6.4 Reischuk s Randomized Algorithm ()......... 663 13.7 GRAPH PROBLEMS ...................... 667 13.7.1 An Alternative Algorithm for Transitive Closure . . . 670 13.7.2 All-Pairs Shortest Paths ................. 670 13.8 COMPUTING THE CONVEX HULL ............. 671 13.9 LOWER BOUNDS ........................ 674 13.9.1 A lower bound on average-case sorting ......... 676 13.9.2 Finding the maximum .................. 677 ÎS.IOREFERENCES AND READINGS ............... 679 lS.HADDITIONAL EXERCISES .................. 680 14 MESH ALGORITHMS 683 14.1 COMPUTATIONAL MODEL .................. 683 14.2 PACKET ROUTING ....................... 685 14.2.1 Packet Routing on a Linear Array ........... 686 14.2.2 A Greedy Algorithm for PPR on a Mesh ........ 690 14.2.3 A Randomized Algorithm with Small Queues ..... 691 14.3 FUNDAMENTAL ALGORITHMS ............... 695 14.3.1 Broadcasting ....................... 696 14.3.2 Prefix Computation ................... 697 14.3.3 Data Concentration ................... 701 14.3.4 Sparse Enumeration Sort ................ 702 CONTENTS xix 14.4 SELECTION ........................... 706 14.4.1 A Randomized Algorithm for η = ρ () ........ 707 14.4.2 Randomized Selection for η > ρ ()........... 707 14.4.3 A Deterministic Algorithm For n> ρ ......... 708 14.5 MERGING ............................ 712 14.5.1 Rank Merge on a Linear Array ............. 713 14.5.2 Odd-Even Merge on a Linear Array .......... 713 14.5.3 Odd-Even Merge on a Mesh ............... 714 14.6 SORTING ............................. 716 14.6.1 Sorting on a Linear Array ................ 716 14.6.2 Sorting on a Mesh .................... 718 14.7 GRAPH PROBLEMS ...................... 723 14.7.1 An η χ η Mesh Algorithm for Transitive Closure . . . 725 14.7.2 All-Pairs Shortest Paths ................. 726 14.8 COMPUTING THE CONVEX HULL ............. 727 14.9 REFERENCES AND READINGS ............... 732 14.10 ADDITIONAL EXERCISES .................. 734 15 HYPERCUBE ALGORITHMS 738 15.1 COMPUTATIONAL MODEL .................. 738 15.1.1 The Hypercube ...................... 738 15.1.2 The Butterfly Network .................. 741 15.1.3 Embedding of Other Networks ............. 742 15.2 PPR ROUTING ......................... 747 15.2.1 A Greedy Algorithm ................... 747 15.2.2 A Randomized Algorithm ................ 747 15.3 FUNDAMENTAL ALGORITHMS ............... 751 15.3.1 Broadcasting ....................... 751 15.3.2 Prefix Computation ................... 752 15.3.3 Data Concentration ................... 753 15.3.4 Sparse Enumeration Sort ................ 756 15.4 SELECTION ........................... 759 15.4.1 A Randomized Algorithm for η = ρ () ........ 759 15.4.2 Randomized Selection for η > ρ (*)........... 759 15.4.3 A Deterministic Algorithm for η > ρ.......... 760 15.5 MERGING ............................ 762 15.5.1 Odd-Even Merge ..................... 762 15.5.2 Bitonic Merge ....................... 764 xx CONTENTS 15.6 SORTING ............................. 765 15.6.1 Odd-Even Merge Sort .................. 765 15.6.2 Bitonic Sort ........................ 767 15.7 GRAPH PROBLEMS ...................... 768 15.8 COMPUTING THE CONVEX HULL ............. 770 15.9 REFERENCES AND READINGS ............... 771 lö.lOADDITIONAL EXERCISES .................. 772 INDEX 1-1 About The Book Latest Edition Of The Classic Algorithms Text! Brand new edition of the programming language-independent text that helped establish computer algorithms as discipline of computer science - a thoroughly revised and updated edition. The text incorporates the latest research and state-of-the-art applications, bringing this classic to the forefront of modern computer science education. A major strength of this text is its focus on design techniques rather than on individual algorithms. Computer Algorithms emphasizes: • Design techniques: Divide and conquer, the greedy method, dynamic programming, backtracking and branch and bound are illustrated with several examples. Each algorithm is completely analyzed. • Examples: A wide range of examples provides students with the actual implementation of correct design. • Tihe latest research: A thorough treatment of probabilistic and parallel algorithms is included. • Full integration of randomized algorithms: Performance with nonrandomized algorithms is thoroughly compared. Computer Algorithms is appropriate as a core text for upper- and graduate-level analysis of algorithms courses. About The Authors Ellis Horowitz is a Professor of Computer Science and Electrical Engineering at the University of Southern California. Dr. Horowitz is the author of ten books and numerous journal articles and refereed conference proceedings. Sartaj Sahni is a Distinguished Professor and Chair of Computer and Information Sciences and Engineering at the University of Florida. Dr. Sahni has published over three hundred research papers and written 15 texts. Sanguthevar Rajasekaran is the UTC Chair Professor of Computer Science and Engineering at the University of Connecticut. He has published over 150 articles in journals and conferences co-authored two texts, and co-edited four books
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author	Horowitz, Ellis 1944- Sahni, Sartaj 1949- Rajasekaran, Sanguthevar 1957-
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language	English
lccn	2007033822
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-016509577
oclc_num	165083482
open_access_boolean
owner	DE-703
owner_facet	DE-703
physical	XX, 773, 11 S. graph. Darst.
publishDate	2008
publishDateSearch	2008
publishDateSort	2008
publisher	Silicon Press
record_format	marc
spellingShingle	Horowitz, Ellis 1944- Sahni, Sartaj 1949- Rajasekaran, Sanguthevar 1957- Computer algorithms Computer algorithms Pseudocode (Computer program language) Algorithmus (DE-588)4001183-5 gnd Computer (DE-588)4070083-5 gnd
subject_GND	(DE-588)4001183-5 (DE-588)4070083-5
title	Computer algorithms
title_auth	Computer algorithms
title_exact_search	Computer algorithms
title_full	Computer algorithms Ellis Horowitz ; Sartaj Sahni ; Sanguthevar Rajasekaran
title_fullStr	Computer algorithms Ellis Horowitz ; Sartaj Sahni ; Sanguthevar Rajasekaran
title_full_unstemmed	Computer algorithms Ellis Horowitz ; Sartaj Sahni ; Sanguthevar Rajasekaran
title_short	Computer algorithms
title_sort	computer algorithms
topic	Computer algorithms Pseudocode (Computer program language) Algorithmus (DE-588)4001183-5 gnd Computer (DE-588)4070083-5 gnd
topic_facet	Computer algorithms Pseudocode (Computer program language) Algorithmus Computer
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016509577&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016509577&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT horowitzellis computeralgorithms AT sahnisartaj computeralgorithms AT rajasekaransanguthevar computeralgorithms

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