The.Algorithm.Design.Manual.Springer-Verlag.1998

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Caveat Next: Contents Up: The Algorithm Design Manual Previous: Acknowledgments Caveat It is traditional for the author to magnanimously accept the blame for whatever deficiencies remain. I don't. Any errors, deficiencies, or problems in this book are somebody else's fault, but I would appreciate knowing about them so as to determine who is to blame. Steven S. Skiena Department of Computer Science State University of New York Stony Brook, NY 11794-4400 http://www.cs.sunysb.edu/ skiena May 1997 Algorithms Mon Jun 2 23:33:50 EDT 1997 file:///E|/BOOK/BOOK/NODE3.HTM [19/1/2003 1:27:33]
Contents Next: Techniques Up: The Algorithm Design Manual Previous: Caveat Contents ● Techniques ❍ Introduction to Algorithms ■ Correctness and Efficiency ■ Correctness ■ Efficiency ■ Expressing Algorithms ■ Keeping Score ■ The RAM Model of Computation ■ Best, Worst, and Average-Case Complexity ■ The Big Oh Notation ■ Growth Rates ■ Logarithms ■ Modeling the Problem ■ About the War Stories ■ War Story: Psychic Modeling ■ Exercises ❍ Data Structures and Sorting ■ Fundamental Data Types ■ Containers ■ Dictionaries ■ Binary Search Trees ■ Priority Queues ■ Specialized Data Structures ■ Sorting ■ Applications of Sorting ■ Approaches to Sorting ■ Data Structures ■ Incremental Insertion ■ Divide and Conquer ■ Randomization ■ Bucketing Techniques ■ War Story: Stripping Triangulations file:///E|/BOOK/BOOK/NODE4.HTM (1 of 7) [19/1/2003 1:27:35]
Page 1 and 2: The Algorithm Design Manual Next: P
Page 3 and 4: Preface Next: Acknowledgments Up: T
Page 5 and 6: Preface one stressing design over a
Page 7: Acknowledgments Mon Jun 2 23:33:50
Page 11 and 12: Contents ■ All-Pairs Shortest Pat
Page 13 and 14: Contents ■ Graph Problems: Polyno
Page 15 and 16: Contents ● About this document ..
Page 17 and 18: The Algorithm Design Manual The Alg
Page 19 and 20: Lecture Notes -- Analysis of Algori
Page 21 and 22: Lecture Notes -- Analysis of Algori
Page 23 and 24: The Stony Brook Algorithm Repositor
Page 25 and 26: Techniques Next: Introduction to Al
Page 27 and 28: Techniques Algorithms Mon Jun 2 23:
Page 29 and 30: Introduction to Algorithms ● Reas
Page 31 and 32: Data Structures and Sorting divide-
Page 33 and 34: Breaking Problems Down ● Dynamic
Page 35 and 36: Graph Algorithms The take-home less
Page 37 and 38: Combinatorial Search and Heuristic
Page 39 and 40: Intractable Problems and Approximat
Page 41 and 42: How to Design Algorithms Next: Reso
Page 43 and 44: How to Design Algorithms with a cou
Page 45 and 46: How to Design Algorithms Next: Reso
Page 47 and 48: A Catalog of Algorithmic Problems N
Page 49 and 50: A Catalog of Algorithmic Problems
Page 51 and 52: Algorithmic Resources Next: Softwar
Page 53 and 54: References L. Adleman. Algorithmic
Page 55 and 56: References AS89 Ata83 Ata84 problem
Page 57 and 58: References BJL 91 A. Blum, T. Jiang
Page 59 and 60:
References BS81 BS86 BS93 BS96 BS97
Page 61 and 62:
References J. M. Chambers. Partial
Page 63 and 64:
References CT80 CT92 1971. G. Carpa
Page 65 and 66:
References K. Daniels and V. Milenk
Page 67 and 68:
References (FOCS), pages 60-69, 199
Page 69 and 70:
References FM71 M. Fischer and A. M
Page 71 and 72:
References History of Computing, 7:
Page 73 and 74:
References N. Gibbs, W. Poole, and
Page 75 and 76:
References Hof82 Hof89 Hol75 C. M.
Page 77 and 78:
References IK75 Ita78 O. Ibarra and
Page 79 and 80:
References Kir83 D. Kirkpatrick. Ef
Page 81 and 82:
References object in 2-dimensional
Page 83 and 84:
References LT79 LT80 8:99-118, 1995
Page 85 and 86:
References Mil97 V. Milenkovic. Dou
Page 87 and 88:
References Theoretical Computer Sci
Page 89 and 90:
References Pav82 T. Pavlidis. Algor
Page 91 and 92:
References Rei72 Rei91 Rei94 E. Rei
Page 93 and 94:
References Prentice Hall, Englewood
Page 95 and 96:
References SR95 SS71 SS90 SSS74 ST8
Page 97 and 98:
References Tin90 Mikkel Thorup. On
Page 99 and 100:
References Wel84 T. Welch. A techni
Page 101 and 102:
References Algorithms Mon Jun 2 23:
Page 103 and 104:
Correctness and Efficiency Next: Co
Page 105 and 106:
Correctness NearestNeighborTSP(P) P
Page 107 and 108:
Correctness Figure: A bad example f
Page 109 and 110:
Efficiency Next: Expressing Algorit
Page 111 and 112:
Keeping Score Next: The RAM Model o
Page 113 and 114:
The RAM Model of Computation substa
Page 115 and 116:
Best, Worst, and Average-Case Compl
Page 117 and 118:
The Big Oh Notation Figure: Illustr
Page 119 and 120:
Logarithms Next: Modeling the Probl
Page 121 and 122:
Logarithms justified in ignoring th
Page 123 and 124:
Modeling the Problem Figure: Modeli
Page 125 and 126:
About the War Stories Next: War Sto
Page 127 and 128:
War Story: Psychic Modeling Next: E
Page 129 and 130:
War Story: Psychic Modeling have pu
Page 131 and 132:
War Story: Psychic Modeling Next: E
Page 133 and 134:
Exercises (b) If I prove that an al
Page 135 and 136:
Fundamental Data Types Next: Contai
Page 137 and 138:
Containers Next: Dictionaries Up: F
Page 139 and 140:
Dictionaries Next: Binary Search Tr
Page 141 and 142:
Binary Search Trees BinaryTreeQuery
Page 143 and 144:
Priority Queues Next: Specialized D
Page 145 and 146:
Specialized Data Structures Next: S
Page 147 and 148:
Sorting Next: Applications of Sorti
Page 149 and 150:
Applications of Sorting Figure: Con
Page 151 and 152:
Data Structures Next: Incremental I
Page 153 and 154:
Incremental Insertion Next: Divide
Page 155 and 156:
Randomization Next: Bucketing Techn
Page 157 and 158:
Randomization Next: Bucketing Techn
Page 159 and 160:
Bucketing Techniques Algorithms Mon
Page 161 and 162:
War Story: Stripping Triangulations
Page 163 and 164:
War Story: Stripping Triangulations
Page 165 and 166:
War Story: Mystery of the Pyramids
Page 167 and 168:
War Story: Mystery of the Pyramids
Page 169 and 170:
War Story: String 'em Up We were co
Page 171 and 172:
War Story: String 'em Up Figure: Su
Page 173 and 174:
Exercises Next: Implementation Chal
Page 175 and 176:
Exercises used to select the pivot.
Page 177 and 178:
Dynamic Programming Next: Fibonacci
Page 179 and 180:
Fibonacci numbers Next: The Partiti
Page 181 and 182:
Fibonacci numbers Next: The Partiti
Page 183 and 184:
The Partition Problem . What is the
Page 185 and 186:
The Partition Problem Figure: Dynam
Page 187 and 188:
Approximate String Matching Next: L
Page 189 and 190:
Approximate String Matching The val
Page 191 and 192:
Longest Increasing Sequence Will th
Page 193 and 194:
Minimum Weight Triangulation Next:
Page 195 and 196:
Limitations of Dynamic Programming
Page 197 and 198:
War Story: Evolution of the Lobster
Page 199 and 200:
War Story: Evolution of the Lobster
Page 201 and 202:
War Story: What's Past is Prolog Ne
Page 203 and 204:
War Story: What's Past is Prolog th
Page 205 and 206:
War Story: Text Compression for Bar
Page 207 and 208:
War Story: Text Compression for Bar
Page 209 and 210:
Divide and Conquer Next: Fast Expon
Page 211 and 212:
Fast Exponentiation Next: Binary Se
Page 213 and 214:
Binary Search Next: Square and Othe
Page 215 and 216:
Page 217 and 218:
Exercises whose denominations are ,
Page 219 and 220:
The Friendship Graph Next: Data Str
Page 221 and 222:
The Friendship Graph friendship gra
Page 223 and 224:
Data Structures for Graphs linked t
Page 225 and 226:
War Story: Getting the Graph ``Well
Page 227 and 228:
Traversing a Graph Next: Breadth-Fi
Page 229 and 230:
Breadth-First Search Next: Depth-Fi
Page 231 and 232:
Depth-First Search Next: Applicatio
Page 233 and 234:
Depth-First Search Next: Applicatio
Page 235 and 236:
Connected Components Next: Tree and
Page 237 and 238:
Two-Coloring Graphs Next: Topologic
Page 239 and 240:
Topological Sorting Next: Articulat
Page 241 and 242:
Modeling Graph Problems Next: Minim
Page 243 and 244:
Modeling Graph Problems good line s
Page 245 and 246:
Minimum Spanning Trees ● Prim's A
Page 247 and 248:
Prim's Algorithm inserted edge (x,y
Page 249 and 250:
Kruskal's Algorithm a tree of weigh
Page 251 and 252:
Dijkstra's Algorithm Next: All-Pair
Page 253 and 254:
All-Pairs Shortest Path Next: War S
Page 255 and 256:
War Story: Nothing but Nets Next: W
Page 257 and 258:
War Story: Nothing but Nets ``You a
Page 259 and 260:
War Story: Dialing for Documents Ne
Page 261 and 262:
War Story: Dialing for Documents If
Page 263 and 264:
War Story: Dialing for Documents CO
Page 265 and 266:
Page 267 and 268:
Exercises Prove the statement or gi
Page 269 and 270:
Backtracking report it. kth element
Page 271 and 272:
Constructing All Subsets Next: Cons
Page 273 and 274:
Constructing All Paths in a Graph N
Page 275 and 276:
Search Pruning Next: Bandwidth Mini
Page 277 and 278:
Bandwidth Minimization immediately
Page 279 and 280:
War Story: Covering Chessboards Nex
Page 281 and 282:
War Story: Covering Chessboards att
Page 283 and 284:
Heuristic Methods Mon Jun 2 23:33:5
Page 285 and 286:
Simulated Annealing Return S then u
Page 287 and 288:
Traveling Salesman Problem Next: Ma
Page 289 and 290:
Independent Set Next: Circuit Board
Page 291 and 292:
Neural Networks Next: Genetic Algor
Page 293 and 294:
Genetic Algorithms Next: War Story:
Page 295 and 296:
War Story: Annealing Arrays Next: P
Page 297 and 298:
War Story: Annealing Arrays optimal
Page 299 and 300:
Parallel Algorithms Next: War Story
Page 301 and 302:
War Story: Going Nowhere Fast Next:
Page 303 and 304:
Page 305 and 306:
Problems and Reductions Next: Simpl
Page 307 and 308:
Simple Reductions Next: Hamiltonian
Page 309 and 310:
Hamiltonian Cycles Next: Independen
Page 311 and 312:
Independent Set and Vertex Cover pr
Page 313 and 314:
Clique and Independent Set These la
Page 315 and 316:
Satisfiability Mon Jun 2 23:33:50 E
Page 317 and 318:
The Theory of NP-Completeness Next:
Page 319 and 320:
3-Satisfiability where for , , , an
Page 321 and 322:
Integer Programming Next: Vertex Co
Page 323 and 324:
Integer Programming possible IP ins
Page 325 and 326:
Vertex Cover reduction for the 3-SA
Page 327 and 328:
Other NP-Complete Problems hard. Th
Page 329 and 330:
The Art of Proving Hardness easiest
Page 331 and 332:
War Story: Hard Against the Clock N
Page 333 and 334:
War Story: Hard Against the Clock I
Page 335 and 336:
Approximation Algorithms Next: Appr
Page 337 and 338:
Approximating Vertex Cover Next: Th
Page 339 and 340:
The Euclidean Traveling Salesman Ne
Page 341 and 342:
The Euclidean Traveling Salesman Ne
Page 343 and 344:
Exercises 1. Prove that the low deg
Page 345 and 346:
Data Structures Next: Dictionaries
Page 347 and 348:
Dictionaries Next: Priority Queues
Page 349 and 350:
Dictionaries use a function that ma
Page 351 and 352:
Dictionaries Implementation-oriente
Page 353 and 354:
Priority Queues ● Besides access
Page 355 and 356:
Priority Queues Fibonacci heaps [FT
Page 357 and 358:
Suffix Trees and Arrays Figure: A t
Page 359 and 360:
Suffix Trees and Arrays [GBY91]. Se
Page 361 and 362:
Graph Data Structures algorithms).
Page 363 and 364:
Graph Data Structures including the
Page 365 and 366:
Set Data Structures Next: Kd-Trees
Page 367 and 368:
Set Data Structures parent pointers
Page 369 and 370:
Kd-Trees Next: Numerical Problems U
Page 371 and 372:
Kd-Trees about p. Say we are lookin
Page 373 and 374:
Numerical Problems Next: Solving Li
Page 375 and 376:
Numerical Problems Mon Jun 2 23:33:
Page 377 and 378:
Solving Linear Equations algorithm
Page 379 and 380:
Solving Linear Equations Matrix inv
Page 381 and 382:
Bandwidth Reduction images near eac
Page 383 and 384:
Matrix Multiplication Next: Determi
Page 385 and 386:
Matrix Multiplication The linear al
Page 387 and 388:
Determinants and Permanents Next: C
Page 389 and 390:
Determinants and Permanents exposit
Page 391 and 392:
Constrained and Unconstrained Optim
Page 393 and 394:
Constrained and Unconstrained Optim
Page 395 and 396:
Linear Programming variable assignm
Page 397 and 398:
Linear Programming The book [MW93]
Page 399 and 400:
Random Number Generation Next: Fact
Page 401 and 402:
Random Number Generation is largely
Page 403 and 404:
Random Number Generation Related Pr
Page 405 and 406:
Factoring and Primality Testing The
Page 407 and 408:
Factoring and Primality Testing Alg
Page 409 and 410:
Arbitrary-Precision Arithmetic If y
Page 411 and 412:
Arbitrary-Precision Arithmetic PARI
Page 413 and 414:
Knapsack Problem Next: Discrete Fou
Page 415 and 416:
Knapsack Problem is a subset of S'
Page 417 and 418:
Discrete Fourier Transform Next: Co
Page 419 and 420:
Discrete Fourier Transform an algor
Page 421 and 422:
Combinatorial Problems Next: Sortin
Page 423 and 424:
Sorting Next: Searching Up: Combina
Page 425 and 426:
Sorting The simplest approach to ex
Page 427 and 428:
Sorting operations, implying an sor
Page 429 and 430:
Searching large performance improve
Page 431 and 432:
Searching Notes: Mehlhorn and Tsaka
Page 433 and 434:
Median and Selection followed by fi
Page 435 and 436:
Generating Permutations Next: Gener
Page 437 and 438:
Generating Permutations The rank/un
Page 439 and 440:
Generating Permutations generating
Page 441 and 442:
Generating Subsets look right when
Page 443 and 444:
Generating Subsets above for detail
Page 445 and 446:
Generating Partitions Although the
Page 447 and 448:
Generating Partitions Two related c
Page 449 and 450:
Generating Graphs generate: ● Do
Page 451 and 452:
Generating Graphs Combinatorica [Sk
Page 453 and 454:
Calendrical Calculations Next: Job
Page 455 and 456:
Calendrical Calculations Gregorian,
Page 457 and 458:
Job Scheduling ● To assign a set
Page 459 and 460:
Job Scheduling shop scheduling incl
Page 461 and 462:
Satisfiability logic, and automatic
Page 463 and 464:
Satisfiability Next: Graph Problems
Page 465 and 466:
Graph Problems: Polynomial-Time rec
Page 467 and 468:
Connected Components Testing the co
Page 469 and 470:
Connected Components discussing gra
Page 471 and 472:
Topological Sorting contradiction t
Page 473 and 474:
Minimum Spanning Tree Next: Shortes
Page 475 and 476:
Minimum Spanning Tree help you sort
Page 477 and 478:
Shortest Path Next: Transitive Clos
Page 479 and 480:
Shortest Path easier to program tha
Page 481 and 482:
Shortest Path Related Problems: Net
Page 483 and 484:
Transitive Closure and Reduction
Page 485 and 486:
Transitive Closure and Reduction Al
Page 487 and 488:
Matching augmenting paths and stopp
Page 489 and 490:
Matching Combinatorica [Ski90] prov
Page 491 and 492:
Eulerian Cycle / Chinese Postman ar
Page 493 and 494:
Eulerian Cycle / Chinese Postman Ne
Page 495 and 496:
Edge and Vertex Connectivity Severa
Page 497 and 498:
Edge and Vertex Connectivity Next:
Page 499 and 500:
Network Flow programming model for
Page 501 and 502:
Network Flow Combinatorica [Ski90]
Page 503 and 504:
Drawing Graphs Nicely vertices are
Page 505 and 506:
Drawing Graphs Nicely labs.com/orgs
Page 507 and 508:
Drawing Trees such as the map of th
Page 509 and 510:
Planarity Detection and Embedding N
Page 511 and 512:
Planarity Detection and Embedding p
Page 513 and 514:
Graph Problems: Hard Problems ● C
Page 515 and 516:
Clique approximate even to within a
Page 517 and 518:
Independent Set Next: Vertex Cover
Page 519 and 520:
Independent Set Related Problems: C
Page 521 and 522:
Vertex Cover Vertex cover and indep
Page 523 and 524:
Traveling Salesman Problem Next: Ha
Page 525 and 526:
Traveling Salesman Problem practice
Page 527 and 528:
Traveling Salesman Problem Size is
Page 529 and 530:
Hamiltonian Cycle Eulerian cycle, p
Page 531 and 532:
Graph Partition Next: Vertex Colori
Page 533 and 534:
Graph Partition annealing, is almos
Page 535 and 536:
Vertex Coloring Several special cas
Page 537 and 538:
Vertex Coloring Notes: An excellent
Page 539 and 540:
Edge Coloring The minimum number of
Page 541 and 542:
Graph Isomorphism Next: Steiner Tre
Page 543 and 544:
Graph Isomorphism vertices into equ
Page 545 and 546:
Steiner Tree Next: Feedback Edge/Ve
Page 547 and 548:
Steiner Tree The worst case for a m
Page 549 and 550:
Feedback Edge/Vertex Set Next: Comp
Page 551 and 552:
Feedback Edge/Vertex Set An interes
Page 553 and 554:
Computational Geometry complete bib
Page 555 and 556:
Robust Geometric Primitives Next: C
Page 557 and 558:
Robust Geometric Primitives ● Are
Page 559 and 560:
Robust Geometric Primitives Related
Page 561 and 562:
Convex Hull ● How many dimensions
Page 563 and 564:
Convex Hull http://www.cs.att.com/n
Page 565 and 566:
Triangulation Next: Voronoi Diagram
Page 567 and 568:
Triangulation GEOMPACK is a suite o
Page 569 and 570:
Voronoi Diagrams Next: Nearest Neig
Page 571 and 572:
Voronoi Diagrams McDonald's, the ti
Page 573 and 574:
Nearest Neighbor Search Next: Range
Page 575 and 576:
Nearest Neighbor Search Implementat
Page 577 and 578:
Range Search Next: Point Location U
Page 579 and 580:
Range Search subdivisions in C++. I
Page 581 and 582:
Point Location the n edges for inte
Page 583 and 584:
Point Location More recently, there
Page 585 and 586:
Intersection Detection ● Do you w
Page 587 and 588:
Intersection Detection Implementati
Page 589 and 590:
Bin Packing Next: Medial-Axis Trans
Page 591 and 592:
Bin Packing approach for general sh
Page 593 and 594:
Medial-Axis Transformation Next: Po
Page 595 and 596:
Medial-Axis Transformation Implemen
Page 597 and 598:
Polygon Partitioning number of piec
Page 599 and 600:
Simplifying Polygons Next: Shape Si
Page 601 and 602:
Simplifying Polygons vertices and o
Page 603 and 604:
Shape Similarity Next: Motion Plann
Page 605 and 606:
Shape Similarity or how close it is
Page 607 and 608:
Motion Planning There is a wide ran
Page 609 and 610:
Motion Planning often arise in the
Page 611 and 612:
Maintaining Line Arrangements Think
Page 613 and 614:
Maintaining Line Arrangements Next:
Page 615 and 616:
Minkowski Sum where x+y is the vect
Page 617 and 618:
Set and String Problems Next: Set C
Page 619 and 620:
Set Cover Next: Set Packing Up: Set
Page 621 and 622:
Set Cover Figure: Hitting set is du
Page 623 and 624:
Set Packing Next: String Matching U
Page 625 and 626:
Set Packing Notes: An excellent exp
Page 627 and 628:
String Matching shouldn't try. Furt
Page 629 and 630:
String Matching and texts, I recomm
Page 631 and 632:
Approximate String Matching This sa
Page 633 and 634:
Approximate String Matching http://
Page 635 and 636:
Text Compression Next: Cryptography
Page 637 and 638:
Text Compression code string. ASCII
Page 639 and 640:
Cryptography Next: Finite State Mac
Page 641 and 642:
Cryptography ● How can I validate
Page 643 and 644:
Cryptography MD5 [Riv92] is the sec
Page 645 and 646:
Finite State Machine Minimization F
Page 647 and 648:
Finite State Machine Minimization S
Page 649 and 650:
Longest Common Substring than edit
Page 651 and 652:
Longest Common Substring include [A
Page 653 and 654:
Shortest Common Superstring Finding
Page 655 and 656:
Software systems Next: LEDA Up: Alg
Page 657 and 658:
LEDA Next: Netlib Up: Software syst
Page 659 and 660:
Netlib Algorithms Mon Jun 2 23:33:5
Page 661 and 662:
The Stanford GraphBase Next: Combin
Page 663 and 664:
Algorithm Animations with XTango Ne
Page 665 and 666:
Programs from Books Next: Discrete
Page 667 and 668:
Handbook of Data Structures and Alg
Page 669 and 670:
Algorithms from P to NP Next: Compu
Page 671 and 672:
Algorithms in C++ Next: Data Source
Page 673 and 674:
Textbooks Next: On-Line Resources U
Page 675 and 676:
On-Line Resources Next: Literature
Page 677 and 678:
People Next: Software Up: On-Line R
Page 679 and 680:
Professional Consulting Services Ne
Page 681 and 682:
Index A Up: Index - All Index: A ab
Page 683 and 684:
Index A artists steal ASA ASCII asp
Page 685 and 686:
Index B binary representation - sub
Page 687 and 688:
Index C Up: Index - All Index: C C+
Page 689 and 690:
Index C clustering , , co-NP coding
Page 691 and 692:
Index C consulting services , conta
Page 693 and 694:
Index D Up: Index - All Index: D DA
Page 695 and 696:
Index D Dictionaries dictionaries -
Page 697 and 698:
Index D dynamic programming - appli
Page 699 and 700:
Index E empirical results - heurist
Page 701 and 702:
Index F Up: Index - All Index: F fa
Page 703 and 704:
Index F frequency domain friend-or-
Page 705 and 706:
Index G geometric shortest path , g
Page 707 and 708:
Index H Up: Index - All Index: H ha
Page 709 and 710:
Index H Algorithms Tue Jun 3 11:59:
Page 711 and 712:
Index I independent set - alternate
Page 713 and 714:
Index J Up: Index - All Index: J ji
Page 715 and 716:
Index K Algorithms Tue Jun 3 11:59:
Page 717 and 718:
Index L linear congruential generat
Page 719 and 720:
Index M Up: Index - All Index: M ma
Page 721 and 722:
Index M mindset minima minimax sear
Page 723 and 724:
Index N Up: Index - All Index: N na
Page 725 and 726:
Index N numerical analysis numerica
Page 727 and 728:
Index O overlap graph overpasses -
Page 729 and 730:
Index P , , , , , , , , , , passwor
Page 731 and 732:
Index P polygons polygon triangulat
Page 733 and 734:
Index Q Up: Index - All Index: Q Qh
Page 735 and 736:
Index R ranking combinatorial objec
Page 737 and 738:
Index S Up: Index - All Index: S s-
Page 739 and 740:
Index S Shape Similarity shape simp
Page 741 and 742:
Index S solar year Solving Linear E
Page 743 and 744:
Index S straight-line graph drawing
Page 745 and 746:
Index T Up: Index - All Index: T ta
Page 747 and 748:
Index T trees - matching trees - pa
Page 749 and 750:
Index V Up: Index - All Index: V va
Page 751 and 752:
Index W Up: Index - All Index: W wa
Page 753 and 754:
Index Y Up: Index - All Index: Y Yo
Page 755 and 756:
Index (complete) Up: Index - All In
Page 757 and 758:
Index (complete) arm, robot around
Page 759 and 760:
Index (complete) binary search tree
Page 761 and 762:
Index (complete) center vertex, , C
Page 763 and 764:
Index (complete) compaction compari
Page 765 and 766:
Index (complete) counting paths, co
Page 767 and 768:
Index (complete) deletion from bina
Page 769 and 770:
Index (complete) dominance ordering
Page 771 and 772:
Index (complete) English to French
Page 773 and 774:
Index (complete) file directory tre
Page 775 and 776:
Index (complete) geom.bib, geometri
Page 777 and 778:
Index (complete) Hamiltonian Cycle
Page 779 and 780:
Index (complete) implementation cha
Page 781 and 782:
Index (complete) job-shop schedulin
Page 783 and 784:
Index (complete) linear programming
Page 785 and 786:
Index (complete) , , , , , , , math
Page 787 and 788:
Index (complete) modular arithmetic
Page 789 and 790:
Index (complete) normal distributio
Page 791 and 792:
Index (complete) parallel algorithm
Page 793 and 794:
Index (complete) planar subdivision
Page 795 and 796:
Index (complete) proof of correctne
Page 797 and 798:
Index (complete) regular expression
Page 799 and 800:
Index (complete) self-organizing tr
Page 801 and 802:
Index (complete) sine functions sin
Page 803 and 804:
Index (complete) spring embedding h
Page 805 and 806:
Index (complete) Symbol Technologie
Page 807 and 808:
Index (complete) trial division Tri
Page 809 and 810:
Index (complete) VLSI circuit layou
Page 811 and 812:
1.4.4 Shortest Path 1.4.4 Shortest
Page 813 and 814:
1.2.5 Constrained and Unconstrained
Page 815 and 816:
1.6.4 Voronoi Diagrams 1.6.4 Vorono
Page 817 and 818:
1.4.7 Eulerian Cycle / Chinese Post
Page 819 and 820:
Online Bibliographies Online Biblio
Page 821 and 822:
About the Book -- The Algorithm Des
Page 823 and 824:
Copyright and Disclaimers Copyright
Page 825 and 826:
CD-ROM Installation Installation an
Page 827 and 828:
CD-ROM Installation install a sound
Page 829 and 830:
Thanks! Frank Ruscica file:///E|/WE
Page 831 and 832:
Thanks! Zhong Li Thanks also to Fil
Page 833 and 834:
CD-ROM Installation To use the CD-R
Page 835 and 836:
Binary Search in Action Binary Sear
Page 837 and 838:
Binary Search in Action file:///E|/
Page 839 and 840:
Binary Search in Action file:///E|/
Page 841 and 842:
Postscript version of the lecture n
Page 843 and 844:
Lecture 1 - analyzing algorithms Ne
Page 845 and 846:
Lecture 1 - analyzing algorithms Yo
Page 847 and 848:
Lecture 1 - analyzing algorithms Th
Page 849 and 850:
Lecture 1 - analyzing algorithms Th
Page 851 and 852:
Lecture 1 - analyzing algorithms is
Page 853 and 854:
Lecture 2 - asymptotic notation How
Page 855 and 856:
Lecture 2 - asymptotic notation Not
Page 857 and 858:
Lecture 2 - asymptotic notation alg
Page 859 and 860:
Lecture 2 - asymptotic notation Sup
Page 861 and 862:
Lecture 2 - asymptotic notation Nex
Page 863 and 864:
Lecture 3 - recurrence relations Is
Page 865 and 866:
Lecture 3 - recurrence relations
Page 867 and 868:
Lecture 3 - recurrence relations Li
Page 869 and 870:
Lecture 3 - recurrence relations Su
Page 871 and 872:
Lecture 3 - recurrence relations A
Page 873 and 874:
Lecture 4 - heapsort Note iteration
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Lecture 4 - heapsort The convex hul
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Lecture 4 - heapsort 1. All leaves
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Lecture 4 - heapsort left = 2i righ
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Lecture 4 - heapsort Since this sum
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Lecture 4 - heapsort Selection sort
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Lecture 4 - heapsort Greedy Algorit
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Lecture 5 - quicksort Partitioning
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Lecture 5 - quicksort Listen To Par
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Lecture 5 - quicksort Listen To Par
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Lecture 5 - quicksort The worst cas
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Lecture 5 - quicksort Mon Jun 2 09:
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Lecture 6 - linear sorting Since 2i
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Lecture 6 - linear sorting With uni
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Lecture 6 - linear sorting Listen T
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Lecture 7 - elementary data structu
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Lecture 8 - binary trees - Joyce Ki
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Lecture 8 - binary trees TREE-MINIM
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Lecture 8 - binary trees Inorder-Tr
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Lecture 8 - binary trees Listen To
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Lecture 8 - binary trees insert(b)
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Lecture 8 - binary trees Not (1) -
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Lecture 9 - catch up Next: Lecture
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Lecture 10 - tree restructuring 1.
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Lecture 10 - tree restructuring Lis
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Lecture 10 - tree restructuring Not
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Lecture 10 - tree restructuring Cas
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Lecture 11 - backtracking Next: Lec
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Lecture 11 - backtracking Only 63 s
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Lecture 11 - backtracking Recursion
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Lecture 11 - backtracking Specifica
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Lecture 12 - introduction to dynami
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Lecture 13 - dynamic programming ap
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Lecture 14 - data structures for gr
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Lecture 15 - DFS and BFS Next: Lect
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Lecture 15 - DFS and BFS In a DFS o
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Lecture 15 - DFS and BFS It could u
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Lecture 15 - DFS and BFS Algorithm
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Lecture 16 - applications of DFS an
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Lecture 17 - minimum spanning trees
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Lecture 18 - shortest path algorthm
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Lecture 19 - satisfiability Next: L
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Lecture 19 - satisfiability Why? Th
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Lecture 19 - satisfiability between
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Lecture 19 - satisfiability Note th
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Lecture 20 - integer programming Ex
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Lecture 20 - integer programming Ne
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Lecture 21 - vertex cover Proof: VC
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Lecture 21 - vertex cover Question:
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Lecture 21 - vertex cover seen to d
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Lecture 22 - techniques for proving
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Lecture 23 - approximation algorith
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About this document ... Up: No Titl
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1.1.6 Kd-Trees ● Point Location
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1.1.3 Suffix Trees and Arrays Send
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1.5.1 Clique ● Vertex Cover Go to
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1.6.2 Convex Hull Related Problems
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Visual Links Index file:///E|/WEBSI
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About the Ratings About the Ratings
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1.2 Numerical Problems 1.2 Numerica
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1.4 Graph Problems -- polynomial-ti
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1.6 Computational Geometry 1.6 Comp
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C++ Language Implementations Algori
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C Language Implementations ● POSI
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FORTRAN Language Implementations Al
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Lisp Language Implementations Algor
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Algorithm Repository -- Citations C
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Practical Algorithm Design -- User
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LEDA - A Library of Efficient Data
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Discrete Optimization Methods Discr
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Netlib / TOMS -- Collected Algorith
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Netlib / TOMS -- Collected Algorith
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Xtango and Polka Algorithm Animatio
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Combinatorica Combinatorica Combina
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file:///E|/WEBSITE/IMPLEMEN/GRAPHBA
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1.4.1 Connected Components 1.4.1 Co
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1.5.9 Graph Isomorphism 1.5.9 Graph
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1.2.3 Matrix Multiplication 1.2.3 M
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1.6.14 Motion Planning 1.6.14 Motio
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1.4.9 Network Flow 1.4.9 Network Fl
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1.1.2 Priority Queues 1.1.2 Priorit
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1.5.10 Steiner Tree 1.5.10 Steiner
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1.4.5 Transitive Closure and Reduct
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Genocop -- Optimization via Genetic
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1.2.6 Linear Programming ● Knapsa
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1.2.7 Random Number Generation ●
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1.3.10 Satisfiability ● Constrain
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Qhull - higher dimensional convex h
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1.6.5 Nearest Neighbor Search 1.6.5
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1.6.7 Point Location 1.6.7 Point Lo
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1.6.10 Medial-Axis Transformation 1
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1.6.3 Triangulation 1.6.3 Triangula
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Nijenhuis and Wilf: Combinatorial A
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1.5.5 Hamiltonian Cycle 1.5.5 Hamil
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1.4.6 Matching 1.4.6 Matching INPUT
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A compendium of NP optimization pro
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1.6.9 Bin Packing 1.6.9 Bin Packing
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1.6.12 Simplifying Polygons 1.6.12
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1.6.13 Shape Similarity 1.6.13 Shap
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1.6.11 Polygon Partitioning 1.6.11
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1.4.3 Minimum Spanning Tree 1.4.3 M
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1.6.15 Maintaining Line Arrangement
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1.3.7 Generating Graphs 1.3.7 Gener
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1.2.11 Discrete Fourier Transform 1
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1.5.8 Edge Coloring 1.5.8 Edge Colo
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1.3.3 Median and Selection 1.3.3 Me
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1.3.1 Sorting 1.3.1 Sorting INPUT O
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Plugins for use with the CDROM Plug
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Implementation Challenges Next: Dat
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Implementation Challenges Next: Gra
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Implementation Challenges Next: Int
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Caveats Next: Data Structures Up: A
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1.1.1 Dictionaries ● Priority Que
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1.1.4 Graph Data Structures ● Gra
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1.1.5 Set Data Structures ● Gener
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1.2.1 Solving Linear Equations ●
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1.2.2 Bandwidth Reduction ● Topol
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1.2.4 Determinants and Permanents
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1.2.8 Factoring and Primality Testi
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1.2.9 Arbitrary Precision Arithmeti
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1.2.10 Knapsack Problem ● Linear
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1.3.2 Searching ● Sorting Go to t
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1.3.4 Generating Permutations ● C
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1.3.5 Generating Subsets ● Genera
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1.3.6 Generating Partitions ● Gen
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1.3.8 Calendrical Calculations Go t
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1.3.9 Job Scheduling ● Feedback E
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1.4.2 Topological Sorting Related P
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1.4.8 Edge and Vertex Connectivity
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1.4.10 Drawing Graphs Nicely ● Pl
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1.4.11 Drawing Trees ● Planarity
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1.4.12 Planarity Detection and Embe
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1.5.2 Independent Set ● Vertex Co
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1.5.3 Vertex Cover ● Independent
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1.5.4 Traveling Salesman Problem
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1.5.6 Graph Partition ● Network F
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1.5.7 Vertex Coloring Related Probl
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1.5.11 Feedback Edge/Vertex Set Go
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1.6.1 Robust Geometric Primitives G
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1.6.6 Range Search ● Kd-Trees ●
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1.6.8 Intersection Detection ● Ro
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1.6.16 Minkowski Sum Go to the corr
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1.7.1 Set Cover ● Set Packing ●
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1.7.2 Set Packing Go to the corresp
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1.7.3 String Matching ● Approxima
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1.7.4 Approximate String Matching
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1.7.5 Text Compression Go to the co
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1.7.6 Cryptography ● Text Compres
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1.7.7 Finite State Machine Minimiza
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1.7.8 Longest Common Substring ●
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1.7.9 Shortest Common Superstring G
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Handbook of Algorithms and Data Str
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Moret and Shapiro's Algorithms P to
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Index B Up: Index - All Index: B ba
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Index C Up: Index - All Index: C ch
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Index E Up: Index - All Index: E ed
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Index G Up: Index - All Index: G ga
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Index I Up: Index - All Index: I in
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Index L Up: Index - All Index: L li
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Index N Up: Index - All Index: N ne
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Index P Up: Index - All Index: P pa
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Index R Up: Index - All Index: R RA
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Index S successor supercomputer , s
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Index U Up: Index - All Index: U un
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Index W Up: Index - All Index: W wo
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Index (complete) bin packing bipart
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Index (complete) Fourier transform
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Index (complete) parenthesization p
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Index (complete) symmetry, exploiti
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Ranger - Nearest Neighbor Search in
Page 1311 and 1312:
DIMACS Implementation Challenges Pe
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Stony Brook Project Implementations
Page 1315 and 1316:
Clarkson's higher dimensional conve
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file:///E|/WEBSITE/BIBLIO/TESTDATA/
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SimPack/Sim++ Simulation Toolkit Si
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Fire-Engine and Spare-Parts String
Page 1451 and 1452:
Geolab -- Computational Geometry Sy
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Calendrical Calculations Calendrica
Page 1455 and 1456:
David Eppstein's Knuth-Morris-Pratt
Page 1457 and 1458:
Mike Trick's Graph Coloring Resourc
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Frank Ruskey's Combinatorial Genera
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Arrange - maintainance of arrangeme
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LP_SOLVE: Linear Programming Code L
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PARI - Package for Number Theory Se
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TSP solvers TSP solvers tsp-solve i
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PHYLIP -- inferring phylogenic tree
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Skeletonization Software (2-D) Skel
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agrep - Approximate General Regular
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CAP -- Contig Assembly Program CAP
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NAUTY -- Graph Isomorphism NAUTY --
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BIPM -- Bipartite Matching Codes BI
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LAPACK and LINPACK -- Linear Algebr
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User Comments User Comments Archive
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The Algorithm Design Manual Most pr
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The Algorithm Design Manual 5.6 War
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