Data Structures and Algorithm Analysis in C++ by Mark Weiss (English) Hardcover

Description: Data Structures and Algorithm Analysis in C++ by Mark Weiss Data Structures and Algorithm Analysis in C++ is an advanced algorithms book that bridges the gap between traditional CS2 and Algorithms Analysis courses. As the speed and power of computers increases, so does the need for effective programming and algorithm analysis. By approaching these skills in tandem, Mark Allen Weiss teaches readers to develop well-constructed, maximally efficient programs using the C++ programming language. This book explains topics from binary heaps to sorting to NP-completeness, and dedicates a full chapter to amortized analysis and advanced data structures and their implementation. Figures and examples illustrating successive stages of algorithms contribute to Weiss careful, rigorous and in-depth analysis of each type of algorithm. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description Data Structures and Algorithm Analysis in C++ is an advanced algorithms book that bridges the gap between traditional CS2 and Algorithms Analysis courses. As the speed and power of computers increases, so does the need for effective programming and algorithm analysis. By approaching these skills in tandem, Mark Allen Weiss teaches readers to develop well-constructed, maximally efficient programs using the C++ programming language. This book explains topics from binary heaps to sorting to NP-completeness, and dedicates a full chapter to amortized analysis and advanced data structures and their implementation. Figures and examples illustrating successive stages of algorithms contribute to Weiss careful, rigorous and in-depth analysis of each type of algorithm. Author Biography Mark Allen Weiss is Professor and Associate Director for the School of Computing and Information Sciences at Florida International University. He is also currently serving as both Director of Undergraduate Studies and Director of Graduate Studies. He received his Bachelors Degree in Electrical Engineering from the Cooper Union in 1983, and his Ph.D. in Computer Science from Princeton University in 1987, working under Bob Sedgewick. He has been at FIU since 1987 and was promoted to Professor in 1996. His interests include data structures, algorithms, and education. He is most well-known for his highly-acclaimed Data Structures textbooks, which have been used for a generation by roughly a million students. Professor Weiss is the author of numerous publications in top-rated journals and was recipient of the Universitys Excellence in Research Award in 1994. In 1996 at FIU he was the first in the world to teach Data Structures using the Java programming language, which is now the de facto standard. From 1997-2004 he served as a member of the Advanced Placement Computer Science Development Committee, chairing the committee from 2000-2004. The committee designed the curriculum and wrote the AP exams that were taken by 20,000 high school students annually. In addition to his Research Award in 1994, Professor Weiss is also the recipient of the Universitys Excellence in Teaching Award in 1999 and the School of Computing and Information Science Excellence in Teaching Award (2005) and Excellence in Service Award (2007). Table of Contents Chapter 1 Programming: A General Overview 1 1.1 Whats This Book About? 1 1.2 Mathematics Review 2 1.2.1 Exponents 3 1.2.2 Logarithms 3 1.2.3 Series 4 1.2.4 Modular Arithmetic 5 1.2.5 The P Word 6 1.3 A Brief Introduction to Recursion 8 1.4 C++ Classes 12 1.4.1 Basic class Syntax 12 1.4.2 Extra Constructor Syntax and Accessors 13 1.4.3 Separation of Interface and Implementation 16 1.4.4 vector and string 19 1.5 C++ Details 21 1.5.1 Pointers 21 1.5.2 Lvalues, Rvalues, and References 23 1.5.3 Parameter Passing 25 1.5.4 Return Passing 27 1.5.5 std::swap and std::move 29 1.5.6 The Big-Five: Destructor, Copy Constructor, Move Constructor, Copy Assignment operator=, Move Assignment operator= 30 1.5.7 C-style Arrays and Strings 35 1.6 Templates 36 1.6.1 Function Templates 37 1.6.2 Class Templates 38 1.6.3 Object, Comparable, and an Example 39 1.6.4 Function Objects 41 1.6.5 Separate Compilation of Class Templates 44 1.7 Using Matrices 44 1.7.1 The Data Members, Constructor, and Basic Accessors 44 1.7.2 operator[] 45 1.7.3 Big-Five 46 Summary 46 Exercises 46 References 48 Chapter 2 Algorithm Analysis 51 2.1 Mathematical Background 51 2.2 Model 54 2.3 What to Analyze 54 2.4 Running-Time Calculations 57 2.4.1 A Simple Example 58 2.4.2 General Rules 58 2.4.3 Solutions for the Maximum Subsequence Sum Problem 60 2.4.4 Logarithms in the Running Time 66 2.4.5 Limitations of Worst Case Analysis 70 Summary 70 Exercises 71 References 76 Chapter 3 Lists, Stacks, and Queues 77 3.1 Abstract Data Types (ADTs) 77 3.2 The List ADT 78 3.2.1 Simple Array Implementation of Lists 78 3.2.2 Simple Linked Lists 79 3.3 vector and list in the STL 80 3.3.1 Iterators 82 3.3.2 Example: Using erase on a List 83 3.3.3 const_iterators 84 3.4 Implementation of vector 86 3.5 Implementation of list 91 3.6 The Stack ADT 103 3.6.1 Stack Model 103 3.6.2 Implementation of Stacks 104 3.6.3 Applications 104 3.7 The Queue ADT 112 3.7.1 Queue Model 113 3.7.2 Array Implementation of Queues 113 3.7.3 Applications of Queues 115 Summary 116 Exercises 116 Chapter 4 Trees 121 4.1 Preliminaries 121 4.1.1 Implementation of Trees 122 4.1.2 Tree Traversals with an Application 123 4.2 Binary Trees 126 4.2.1 Implementation 128 4.2.2 An Example: Expression Trees 128 4.3 The Search Tree ADT–Binary Search Trees 132 4.3.1 contains 134 4.3.2 findMin and findMax 135 4.3.3 insert 136 4.3.4 remove 139 4.3.5 Destructor and Copy Constructor 141 4.3.6 Average-Case Analysis 141 4.4 AVL Trees 144 4.4.1 Single Rotation 147 4.4.2 Double Rotation 149 4.5 Splay Trees 158 4.5.1 A Simple Idea (That Does Not Work) 158 4.5.2 Splaying 160 4.6 Tree Traversals (Revisited) 166 4.7 B-Trees 168 4.8 Sets and Maps in the Standard Library 173 4.8.1 Sets 173 4.8.2 Maps 174 4.8.3 Implementation of set and map 175 4.8.4 An Example That Uses Several Maps 176 Summary 181 Exercises 182 References 189 Chapter 5 Hashing 193 5.1 General Idea 193 5.2 Hash Function 194 5.3 Separate Chaining 196 5.4 Hash Tables without Linked Lists 201 5.4.1 Linear Probing 201 5.4.2 Quadratic Probing 202 5.4.3 Double Hashing 207 5.5 Rehashing 208 5.6 Hash Tables in the Standard Library 210 5.7 Hash Tables with Worst-Case O(1) Access 212 5.7.1 Perfect Hashing 213 5.7.2 Cuckoo Hashing 215 5.7.3 Hopscotch Hashing 224 5.8 Universal Hashing 230 5.9 Extendible Hashing 233 Summary 236 Exercises 238 References 242 Chapter 6 Priority Queues (Heaps) 245 6.1 Model 245 6.2 Simple Implementations 246 6.3 Binary Heap 247 6.3.1 Structure Property 247 6.3.2 Heap-Order Property 248 6.3.3 Basic Heap Operations 249 6.3.4 Other Heap Operations 252 6.4 Applications of Priority Queues 257 6.4.1 The Selection Problem 258 6.4.2 Event Simulation 259 6.5 d-Heaps 260 6.6 Leftist Heaps 261 6.6.1 Leftist Heap Property 261 6.6.2 Leftist Heap Operations 262 6.7 Skew Heaps 269 6.8 Binomial Queues 271 6.8.1 Binomial Queue Structure 271 6.8.2 Binomial Queue Operations 271 6.8.3 Implementation of Binomial Queues 276 6.9 Priority Queues in the Standard Library 283 Summary 283 Exercises 283 References 288 Chapter 7 Sorting 291 7.1 Preliminaries 291 7.2 Insertion Sort 292 7.2.1 The Algorithm 292 7.2.2 STL Implementation of Insertion Sort 293 7.2.3 Analysis of Insertion Sort 294 7.3 A Lower Bound for Simple Sorting Algorithms 295 7.4 Shellsort 296 7.4.1 Worst-Case Analysis of Shellsort 297 7.5 Heapsort 300 7.5.1 Analysis of Heapsort 301 7.6 Mergesort 304 7.6.1 Analysis of Mergesort 306 7.7 Quicksort 309 7.7.1 Picking the Pivot 311 7.7.2 Partitioning Strategy 313 7.7.3 Small Arrays 315 7.7.4 Actual Quicksort Routines 315 7.7.5 Analysis of Quicksort 318 7.7.6 A Linear-Expected-Time Algorithm for Selection 321 7.8 A General Lower Bound for Sorting 323 7.8.1 Decision Trees 323 7.9 Decision-Tree Lower Bounds for Selection Problems 325 7.10 Adversary Lower Bounds 328 7.11 Linear-Time Sorts: Bucket Sort and Radix Sort 331 7.12 External Sorting 336 7.12.1 Why We Need New Algorithms 336 7.12.2 Model for External Sorting 336 7.12.3 The Simple Algorithm 337 7.12.4 Multiway Merge 338 7.12.5 Polyphase Merge 339 7.12.6 Replacement Selection 340 Summary 341 Exercises 341 References 347 Chapter 8 The Disjoint Sets Class 351 8.1 Equivalence Relations 351 8.2 The Dynamic Equivalence Problem 352 8.3 Basic Data Structure 353 8.4 Smart Union Algorithms 357 8.5 Path Compression 360 8.6 Worst Case for Union-by-Rank and Path Compression 361 8.6.1 Slowly Growing Functions 362 8.6.2 An Analysis by Recursive Decomposition 362 8.6.3 An O( M log *N ) Bound 369 8.6.4 An O( M α(M, N) ) Bound 370 8.7 An Application 372 Summary 374 Exercises 375 References 376 Chapter 9 Graph Algorithms 379 9.1 Definitions 379 9.1.1 Representation of Graphs 380 9.2 Topological Sort 382 9.3 Shortest-Path Algorithms 386 9.3.1 Unweighted Shortest Paths 387 9.3.2 Dijkstras Algorithm 391 9.3.3 Graphs with Negative Edge Costs 400 9.3.4 Acyclic Graphs 400 9.3.5 All-Pairs Shortest Path 404 9.3.6 Shortest Path Example 404 9.4 Network Flow Problems 406 9.4.1 A Simple Maximum-Flow Algorithm 408 9.5 Minimum Spanning Tree 413 9.5.1 Prims Algorithm 414 9.5.2 Kruskals Algorithm 417 9.6 Applications of Depth-First Search 419 9.6.1 Undirected Graphs 420 9.6.2 Biconnectivity 421 9.6.3 Euler Circuits 425 9.6.4 Directed Graphs 429 9.6.5 Finding Strong Components 431 9.7 Introduction to NP-Completeness 432 9.7.1 Easy vs. Hard 433 9.7.2 The Class NP 434 9.7.3 NP-Complete Problems 434 Summary 437 Exercises 437 References 445 Chapter 10 Algorithm Design Techniques 449 10.1 Greedy Algorithms 449 10.1.1 A Simple Scheduling Problem 450 10.1.2 Huffman Codes 453 10.1.3 Approximate Bin Packing 459 10.2 Divide and Conquer 467 10.2.1 Running Time of Divide-and-Conquer Algorithms 468 10.2.2 Closest-Points Problem 470 10.2.3 The Selection Problem 475 10.2.4 Theoretical Improvements for Arithmetic Problems 478 10.3 Dynamic Programming 482 10.3.1 Using a Table Instead of Recursion 483 10.3.2 Ordering Matrix Multiplications 485 10.3.3 Optimal Binary Search Tree 487 10.3.4 All-Pairs Shortest Path 491 10.4 Randomized Algorithms 494 10.4.1 Random-Number Generators 495 10.4.2 Skip Lists 500 10.4.3 Primality Testing 503 10.5 Backtracking Algorithms 506 10.5.1 The Turnpike Reconstruction Problem 506 10.5.2 Games 511 Summary 518 Exercises 518 References 527 Chapter 11 Amortized Analysis 533 11.1 An Unrelated Puzzle 534 11.2 Binomial Queues 534 11.3 Skew Heaps 539 11.4 Fibonacci Heaps 541 11.4.1 Cutting Nodes in Leftist Heaps 542 11.4.2 Lazy Merging for Binomial Queues 544 11.4.3 The Fibonacci Heap Operations 548 11.4.4 Proof of the Time Bound 549 11.5 Splay Trees 551 Summary 555 Exercises 556 References 557 Chapter 12 Advanced Data Structures and Implementation 559 12.1 Top-Down Splay Trees 559 12.2 Red-Black Trees 566 12.2.1 Bottom-Up Insertion 567 12.2.2 Top-Down Red-Black Trees 568 12.2.3 Top-Down Deletion 570 12.3 Treaps 576 12.4 Suffix Arrays and Suffix Trees 579 12.4.1 Suffix Arrays 580 12.4.2 Suffix Trees 583 12.4.3 Linear-Time Construction of Suffix Arrays and Suffix Trees 586 12.5 k-d Trees 596 12.6 Pairing Heaps 602 Summary 606 Exercises 608 References 612 Appendix A Separate Compilation of Class Templates 615 A.1 Everything in the Header 616 A.2 Explicit Instantiation 616 Index 619 Long Description Data Structures and Algorithm Analysis in C++ is an advanced algorithms book that bridges the gap between traditional CS2 and Algorithms Analysis courses. As the speed and power of computers increases, so does the need for effective programming and algorithm analysis. By approaching these skills in tandem, Mark Allen Weiss teaches readers to develop well-constructed, maximally efficient programs using the C++ programming language. This book explains topics from binary heaps to sorting to NP -completeness, and dedicates a full chapter to amortized analysis and advanced data structures and their implementation. Figures and examples illustrating successive stages of algorithms contribute to Weiss careful, rigorous and in-depth analysis of each type of algorithm. Feature Details A print text Free shipping New Feature The fourth edition incorporates numerous bug fixes, and many parts of the book have undergone revision to increase the clarity of presentation. In addition, Chapter 4 includes implementation of the AVL tree deletion algorithm-a topic often requested by readers. Chapter 5 has been extensively revised and enlarged and now contains material on two newer algorithms: cuckoo hashing and hopscotch hashing. Additionally, a new section on universal hashing has been added. Also new is a brief discussion of the unordered_set and unordered_map class templates introduced in C++11. Chapter 6 is mostly unchanged; however, the implementation of the binary heap makes use of move operations that were introduced in C++11. Chapter 7 now contains material on radix sort, and a new section on lower-bound proofs has been added. Sorting code makes use of move operations that were introduced in C++11. Chapter 8 uses the new union/find analysis by Seidel and Sharir and shows the O( M α(M,N) ) bound instead of the weaker O( Mlog∗ N ) bound in prior editions. Chapter 12 adds material on suffix trees and suffix arrays, including the linear-time suffix array construction algorithm by Karkkainen and Sanders (with implementation). The sections covering deterministic skip lists and AA-trees have been removed. Throughout the text, the code has been updated to use C++11. Notably, this means use of the new C++11 features, including the auto keyword, the range for loop, move construction and assignment, and uniform initialization. Details ISBN013284737X Publisher Pearson Education (US) Edition 4th ISBN-10 013284737X ISBN-13 9780132847377 Format Hardcover Place of Publication New Jersey Country of Publication United States DEWEY 005.133 Illustrations Illustrations Year 2013 Short Title DATA STRUCTURES & ALGORITHM AN Language English Media Book Pages 664 Author Mark Weiss Imprint Pearson AU Release Date 2013-08-13 NZ Release Date 2013-08-13 UK Release Date 2013-08-13 Edition Description 4th edition Publication Date 2013-08-20 Replaces 9780273769385 Audience Tertiary & Higher Education US Release Date 2013-08-20 We've got this At The Nile, if you're looking for it, we've got it. 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