Data structures and algorithms in Java

著者

書誌事項

Data structures and algorithms in Java

Michael T. Goodrich, Roberto Tamassia, Michael H. Goldwasser

Wiley, c2014

6th ed

  • : pbk

タイトル別名

Data structures & algorithms in Java

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注記

Includes bibliographical references (p. [710]-713) and index

内容説明・目次

内容説明

The design and analysis of efficient data structures has long been recognized as a key component of the Computer Science curriculum. Goodrich, Tomassia and Goldwasser's approach to this classic topic is based on the object-oriented paradigm as the framework of choice for the design of data structures. For each ADT presented in the text, the authors provide an associated Java interface. Concrete data structures realizing the ADTs are provided as Java classes implementing the interfaces. The Java code implementing fundamental data structures in this book is organized in a single Java package, net.datastructures. This package forms a coherent library of data structures and algorithms in Java specifically designed for educational purposes in a way that is complimentary with the Java Collections Framework.

目次

strong>1 Java Primer 1 1.1 Getting Started 2 1.1.1 Base Types 4 1.2 Classes and Objects 5 1.2.1 Creating and Using Objects 6 1.2.2 Defining a Class 9 1.3 Strings, Wrappers, Arrays, and Enum Types 17 1.4 Expressions 23 1.4.1 Literals 23 1.4.2 Operators 24 1.4.3 Type Conversions 28 1.5 Control Flow 30 1.5.1 The If and Switch Statements 30 1.5.2 Loops 33 1.5.3 Explicit Control-Flow Statements 37 1.6 Simple Input and Output 38 1.7 An Example Program 41 1.8 Packages and Imports 44 1.9 Software Development 46 1.9.1 Design 46 1.9.2 Pseudocode 48 1.9.3 Coding 49 1.9.4 Documentation and Style 50 1.9.5 Testing and Debugging 53 1.10 Exercises 55 2 Object-Oriented Design 59 2.1 Goals, Principles, and Patterns 60 2.1.1 Object-Oriented Design Goals 60 2.1.2 Object-Oriented Design Principles 61 2.1.3 Design Patterns 63 2.2 Inheritance 64 2.2.1 Extending the CreditCard Class 65 2.2.2 Polymorphism and Dynamic Dispatch 68 2.2.3 Inheritance Hierarchies 69 2.3 Interfaces and Abstract Classes 76 2.3.1 Interfaces in Java 76 2.3.2 Multiple Inheritance for Interfaces 79 2.3.3 Abstract Classes 80 2.4 Exceptions 82 2.4.1 Catching Exceptions 82 2.4.2 Throwing Exceptions 85 2.4.3 Java's Exception Hierarchy 86 2.5 Casting and Generics 88 2.5.1 Casting 88 2.5.2 Generics 91 2.6 Nested Classes 96 2.7 Exercises 97 3 Fundamental Data Structures 103 3.1 Using Arrays 104 3.1.1 Storing Game Entries in an Array 104 3.1.2 Sorting an Array 110 3.1.3 java.util Methods for Arrays and Random Numbers 112 3.1.4 Simple Cryptography with Character Arrays 115 3.1.5 Two-Dimensional Arrays and Positional Games 118 3.2 Singly Linked Lists 122 3.2.1 Implementing a Singly Linked List Class 126 3.3 Circularly Linked Lists 128 3.3.1 Round-Robin Scheduling 128 3.3.2 Designing and Implementing a Circularly Linked List 129 3.4 Doubly Linked Lists 132 3.4.1 Implementing a Doubly Linked List Class 135 3.5 Equivalence Testing 138 3.5.1 Equivalence Testing with Arrays 139 3.5.2 Equivalence Testing with Linked Lists 140 3.6 Cloning Data Structures 141 3.6.1 Cloning Arrays 142 3.6.2 Cloning Linked Lists 144 3.7 Exercises 145 4 Algorithm Analysis 149 4.1 Experimental Studies 151 4.1.1 Moving Beyond Experimental Analysis 154 4.2 The Seven Functions Used in This Book 156 4.2.1 Comparing Growth Rates 163 4.3 Asymptotic Analysis 164 4.3.1 The "Big-Oh" Notation 164 4.3.2 Comparative Analysis 168 4.3.3 Examples of Algorithm Analysis 170 4.4 Simple Justification Techniques 178 4.4.1 By Example 178 4.4.2 The "Contra" Attack 178 4.4.3 Induction and Loop Invariants 179 4.5 Exercises 182 5 Recursion 189 5.1 Illustrative Examples 191 5.1.1 The Factorial Function 191 5.1.2 Drawing an English Ruler 193 5.1.3 Binary Search 196 5.1.4 File Systems 198 5.2 Analyzing Recursive Algorithms 202 5.3 Further Examples of Recursion 206 5.3.1 Linear Recursion 206 5.3.2 Binary Recursion 211 5.3.3 Multiple Recursion 212 5.4 Designing Recursive Algorithms 214 5.5 Recursion Run Amok 215 5.5.1 Maximum Recursive Depth in Java 218 5.6 Eliminating Tail Recursion 219 5.7 Exercises 221 6 Stacks, Queues, and Deques 225 6.1 Stacks 226 6.1.1 The Stack Abstract Data Type 227 6.1.2 A Simple Array-Based Stack Implementation 230 6.1.3 Implementing a Stack with a Singly Linked List 233 6.1.4 Reversing an Array Using a Stack 234 6.1.5 Matching Parentheses and HTML Tags 235 6.2 Queues 238 6.2.1 The Queue Abstract Data Type 239 6.2.2 Array-Based Queue Implementation 241 6.2.3 Implementing a Queue with a Singly Linked List 245 6.2.4 A Circular Queue 246 6.3 Double-Ended Queues 248 6.3.1 The Deque Abstract Data Type 248 6.3.2 Implementing a Deque 250 6.3.3 Deques in the Java Collections Framework 251 6.4 Exercises 252 7 List and Iterator ADTs 257 7.1 The List ADT 258 7.2 Array Lists 260 7.2.1 Dynamic Arrays 263 7.2.2 Implementing a Dynamic Array 264 7.2.3 Amortized Analysis of Dynamic Arrays 265 7.2.4 Java's StringBuilder class 269 7.3 Positional Lists 270 7.3.1 Positions 272 7.3.2 The Positional List Abstract Data Type 272 7.3.3 Doubly Linked List Implementation 276 7.4 Iterators 282 7.4.1 The Iterable Interface and Java's For-Each Loop 283 7.4.2 Implementing Iterators 284 7.5 The Java Collections Framework 288 7.5.1 List Iterators in Java 289 7.5.2 Comparison to Our Positional List ADT 290 7.5.3 List-Based Algorithms in the Java Collections Framework 291 7.6 Sorting a Positional List 293 7.7 Case Study: Maintaining Access Frequencies 294 7.7.1 Using a Sorted List 294 7.7.2 Using a List with the Move-to-Front Heuristic 297 7.8 Exercises 300 8 Trees 307 8.1 General Trees308 8.1.1 Tree Definitions and Properties 309 8.1.2 The Tree Abstract Data Type 312 8.1.3 Computing Depth and Height 314 8.2 Binary Trees 317 8.2.1 The Binary Tree Abstract Data Type 319 8.2.2 Properties of Binary Trees 321 8.3 Implementing Trees 323 8.3.1 Linked Structure for Binary Trees 323 8.3.2 Array-Based Representation of a Binary Tree 331 8.3.3 Linked Structure for General Trees 333 8.4 Tree Traversal Algorithms 334 8.4.1 Preorder and Postorder Traversals of General Trees 334 8.4.2 Breadth-First Tree Traversal 336 8.4.3 Inorder Traversal of a Binary Tree 337 8.4.4 Implementing Tree Traversals in Java 339 8.4.5 Applications of Tree Traversals 343 8.4.6 Euler Tours 348 8.5 Exercises 350 9 Priority Queues 359 9.1 The Priority Queue Abstract Data Type 360 9.1.1 Priorities 360 9.1.2 The Priority Queue ADT 361 9.2 Implementing a Priority Queue 362 9.2.1 The Entry Composite 362 9.2.2 Comparing Keys with Total Orders 363 9.2.3 The AbstractPriorityQueue Base Class 364 9.2.4 Implementing a Priority Queue with an Unsorted List 366 9.2.5 Implementing a Priority Queue with a Sorted List 368 9.3 Heaps 370 9.3.1 The Heap Data Structure 370 9.3.2 Implementing a Priority Queue with a Heap 372 9.3.3 Analysis of a Heap-Based Priority Queue 379 9.3.4 Bottom-Up Heap Construction 380 9.3.5 Using the java.util.PriorityQueue Class 384 9.4 Sorting with a Priority Queue 385 9.4.1 Selection-Sort and Insertion-Sort 386 9.4.2 Heap-Sort 388 9.5 Adaptable Priority Queues 390 9.5.1 Location-Aware Entries 391 9.5.2 Implementing an Adaptable Priority Queue 392 9.6 Exercises 395 10 Maps, Hash Tables, and Skip Lists 401 10.1 Maps 402 10.1.1 The Map ADT 403 10.1.2 Application: Counting Word Frequencies 405 10.1.3 An AbstractMap Base Class 406 10.1.4 A Simple Unsorted Map Implementation 408 10.2 Hash Tables 410 10.2.1 Hash Functions 411 10.2.2 Collision-Handling Schemes 417 10.2.3 Load Factors, Rehashing, and Efficiency 420 10.2.4 Java Hash Table Implementation 422 10.3 Sorted Maps 428 10.3.1 Sorted Search Tables 429 10.3.2 Two Applications of Sorted Maps 433 10.4 Skip Lists 436 10.4.1 Search and Update Operations in a Skip List 438 10.4.2 Probabilistic Analysis of Skip Lists 442 10.5 Sets, Multisets, and Multimaps 445 10.5.1 The Set ADT 445 10.5.2 The Multiset ADT 447 10.5.3 The Multimap ADT 448 10.6 Exercises 451 11 Search Trees 459 11.1 Binary Search Trees 460 11.1.1 Searching Within a Binary Search Tree 461 11.1.2 Insertions and Deletions 463 11.1.3 Java Implementation 466 11.1.4 Performance of a Binary Search Tree 470 11.2 Balanced Search Trees 472 11.2.1 Java Framework for Balancing Search Trees 475 11.3 AVL Trees 479 11.3.1 Update Operations 481 11.3.2 Java Implementation 486 11.4 Splay Trees 488 11.4.1 Splaying 488 11.4.2 When to Splay 492 11.4.3 Java Implementation 494 11.4.4 Amortized Analysis of Splaying 495 11.5 (2,4) Trees 500 11.5.1 Multiway Search Trees 500 11.5.2 (2,4)-Tree Operations 503 11.6 Red-Black Trees 510 11.6.1 Red-Black Tree Operations 512 11.6.2 Java Implementation 522 11.7 Exercises 525 12 Sorting and Selection 531 12.1 Merge-Sort 532 12.1.1 Divide-and-Conquer 532 12.1.2 Array-Based Implementation of Merge-Sort 537 12.1.3 The Running Time of Merge-Sort 538 12.1.4 Merge-Sort and Recurrence Equations 540 12.1.5 Alternative Implementations of Merge-Sort 541 12.2 Quick-Sort 544 12.2.1 Randomized Quick-Sort 551 12.2.2 Additional Optimizations for Quick-Sort 553 12.3 Studying Sorting through an Algorithmic Lens 556 12.3.1 Lower Bound for Sorting 556 12.3.2 Linear-Time Sorting: Bucket-Sort and Radix-Sort 558 12.4 Comparing Sorting Algorithms 561 12.5 Selection 563 12.5.1 Prune-and-Search 563 12.5.2 Randomized Quick-Select 564 12.5.3 Analyzing Randomized Quick-Select 565 12.6 Exercises 566 13 Text Processing 573 13.1 Abundance of Digitized Text 574 13.1.1 Notations for Character Strings 575 13.2 Pattern-Matching Algorithms 576 13.2.1 Brute Force 576 13.2.2 The Boyer-Moore Algorithm 578 13.2.3 The Knuth-Morris-Pratt Algorithm 582 13.3 Tries 586 13.3.1 Standard Tries 586 13.3.2 Compressed Tries 590 13.3.3 Suffix Tries 592 13.3.4 Search Engine Indexing 594 13.4 Text Compression and the Greedy Method 595 13.4.1 The Huffman Coding Algorithm 596 13.4.2 The Greedy Method 597 13.5 Dynamic Programming 598 13.5.1 Matrix Chain-Product 598 13.5.2 DNA and Text Sequence Alignment 601 13.6 Exercises 605 14 Graph Algorithms 611 14.1 Graphs 612 14.1.1 The Graph ADT 618 14.2 Data Structures for Graphs 619 14.2.1 Edge List Structure 620 14.2.2 Adjacency List Structure 622 14.2.3 Adjacency Map Structure 624 14.2.4 Adjacency Matrix Structure 625 14.2.5 Java Implementation 626 14.3 Graph Traversals 630 14.3.1 Depth-First Search 631 14.3.2 DFS Implementation and Extensions 636 14.3.3 Breadth-First Search 640 14.4 Transitive Closure 643 14.5 Directed Acyclic Graphs 647 14.5.1 Topological Ordering 647 14.6 Shortest Paths 651 14.6.1 Weighted Graphs 651 14.6.2 Dijkstra's Algorithm 653 14.7 Minimum Spanning Trees 662 14.7.1 Prim-Jarnyk Algorithm 664 14.7.2 Kruskal's Algorithm 667 14.7.3 Disjoint Partitions and Union-Find Structures 672 14.8 Exercises 677 15 Memory Management and B-Trees 687 15.1 Memory Management 688 15.1.1 Stacks in the Java Virtual Machine 688 15.1.2 Allocating Space in the Memory Heap 691 15.1.3 Garbage Collection 693 15.2 Memory Hierarchies and Caching 695 15.2.1 Memory Systems 695 15.2.2 Caching Strategies 696 15.3 External Searching and B-Trees 701 15.3.1 (a,b) Trees 702 15.3.2 B-Trees 704 15.4 External-Memory Sorting 705 15.4.1 Multiway Merging 706 15.5 Exercises 707 Bibliography 710 Index 714

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