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Data Structures & Algorithm Analysis in Java (1st Edition).md

Data Structures & Algorithm Analysis in Java (1st Edition)

Information

  • Author: Mark Allen Weiss
  • Publisher: Addison-Wesley, 1999
  • ISBN-10: 0-201-35754-2 (0201357542)
  • ISBN-13: 978-0-201-35754-7 (9780201357547)

Links

Table of Contents

  • Chapter 1 Introduction
    • 1.1. What's the Book About?
    • 1.2. Mathematics Review
      • 1.2.1. Exponents
      • 1.2.2. Logarithms
      • 1.2.3. Series
      • 1.2.4. Modular Arithmetic
      • 1.2.5. The P Word
    • 1.3. A Brief Introduction to Recursion
    • 1.4. Generic Objects in Java ➖
      • 1.4.1. The IntCell Class ➖
      • 1.4.2. The MemoryCell Class ➖
      • 1.4.3. Implementing Generic findMax ➖
    • 1.5. Exceptions ➖
    • 1.6. Input and Output ➖
      • 1.6.1. Basic Stream Operations ➖
      • 1.6.2. The StringTokenizer Object ➖
      • 1.6.3. Sequential Files ➖
    • 1.7. Code Organization ➖
      • 1.7.1. Packages ➖
      • 1.7.2. The MyInteger Class ➖
      • 1.7.3. Efficiency Considerations ➖
      • Summary
      • Exercises
      • References
  • Chapter 2 Algorithm Analysis
    • 2.1. Mathematical Background
    • 2.2. Model
    • 2.3. What to Analyze
    • 2.4. Running Time Calculations
      • 2.4.1. A Simple Example
      • 2.4.2. General Rules
      • 2.4.3. Solutions for the Maximum Subsequence Sum Problem
      • 2.4.4. Logarithms in the Running Time
      • 2.4.5. Checking Your Analysis ➖
      • 2.4.6. A Grain of Salt
      • Summary
      • Exercises
      • References
  • Chapter 3 Lists, Stacks, and Queues
    • 3.1. Abstract Data Types (ADTs)
    • 3.2. The List ADT
      • 3.2.1. Simple Array Implementation of Lists
      • 3.2.2. Linked Lists ➗
      • 3.2.3. Programming Details ➖
      • 3.2.4. Doubly Linked Lists ➖
      • 3.2.5. Circular Linked Lists ➖
      • 3.2.6. Examples ➖
      • 3.2.7. Cursor Implementation of Linked Lists ➖
    • 3.3. The Stack ADT
      • 3.3.1. Stack Model
      • 3.3.2. Implementation of Stacks
      • 3.3.3. Applications
    • 3.4. The Queue ADT
      • 3.4.1. Queue Model
      • 3.4.2. Array Implementation of Queues
      • 3.4.3. Applications of Queues
      • Summary
      • Exercises
  • Chapter 4 Trees
    • 4.1. Preliminaries
      • 4.1.1. Implementation of Trees
      • 4.1.2. Tree Traversals with an Application
    • 4.2. Binary Trees
      • 4.2.1. Implementation
      • 4.2.2. An Example: Expression Trees
    • 4.3. The Search Tree ADT --- Binary Search Trees
      • 4.3.1. find ➗
      • 4.3.2. findMin and findMax
      • 4.3.3. insert
      • 4.3.4. remove
      • 4.3.5. Average-Case Analysis
    • 4.4. AVL Trees
      • 4.4.1. Single Rotation
      • 4.4.2. Double Rotation
    • 4.5. Splay Trees
      • 4.5.1. A Simple Idea (That Does Not Work)
      • 4.5.2. Splaying
    • 4.6. Tree Traversals (Revisited)
    • 4.7. B-Trees
      • Summary
      • Exercises
      • References
  • Chapter 5 Hashing
    • 5.1. General Idea
    • 5.2. Hash Function
    • 5.3. Separate Chaining
    • 5.4. Open Addressing ➗
      • 5.4.1. Linear Probing
      • 5.4.2. Quadratic Probing
      • 5.4.3. Double Hashing
    • 5.5. Rehashing
    • 5.6. Extendible Hashing
      • Summary
      • Exercises
      • References
  • Chapter 6 Priority Queues (Heaps)
    • 6.1. Model
    • 6.2. Simple Implementations
    • 6.3. Binary Heap
      • 6.3.1. Structure Property
      • 6.3.2. Heap Order Property
      • 6.3.3. Basic Heap Operations
      • 6.3.4. Other Heap Operations
    • 6.4. Applications of Priority Queues
      • 6.4.1. The Selection Problem
      • 6.4.2. Event Simulation
    • 6.5. d-Heaps
    • 6.6. Leftist Heaps
      • 6.6.1. Leftist Heap Property
      • 6.6.2. Leftist Heap Operations
    • 6.7. Skew Heaps
    • 6.8. Binomial Queues
      • 6.8.1. Binomial Queue Structure
      • 6.8.2. Binomial Queue Operations
      • 6.8.3. Implementation of Binomial Queues
      • Summary
      • Exercises
      • References
  • Chapter 7 Sorting
    • 7.1. Preliminaries
    • 7.2. Insertion Sort
      • 7.2.1. The Algorithm
      • 7.2.2. Analysis of Insertion Sort
    • 7.3. A Lower Bound for Simple Sorting Algorithms
    • 7.4. Shellsort
      • 7.4.1. Worst-Case Analysis of Shellsort
    • 7.5. Heapsort
      • 7.5.1. Analysis of Heapsort
    • 7.6. Mergesort
      • 7.6.1. Analysis of Mergesort
    • 7.7. Quicksort
      • 7.7.1. Picking the Pivot
      • 7.7.2. Partitioning Strategy
      • 7.7.3. Small Arrays
      • 7.7.4. Actual Quicksort Routines
      • 7.7.5. Analysis of Quicksort
      • 7.7.6. A Linear-Expected-Time Algorithm for Selection
    • 7.8. A General Lower Bound for Sorting
      • 7.8.1. Decision Trees
    • 7.9. Bucket Sort
    • 7.10. External Sorting
      • 7.10.1. Why We Need New Algorithms
      • 7.10.2. Model for External Sorting
      • 7.10.3. The Simple Algorithm
      • 7.10.4. Multiway Merge
      • 7.10.5. Polyphase Merge
      • 7.10.6. Replacement Selection
      • Summary
      • Exercises
      • References
  • Chapter 8 The Disjoint Set ADT ➗
    • 8.1. Equivalence Relations
    • 8.2. The Dynamic Equivalence Problem
    • 8.3. Basic Data Structure
    • 8.4. Smart Union Algorithms
    • 8.5. Path Compression
    • 8.6. Worst Case for Union-by-Rank and Path Compression
      • 8.6.1. Analysis of the Union/Find Algorithm
    • 8.7. An Application
      • Summary
      • Exercises
      • References
  • Chapter 9 Graph Algorithms
    • 9.1. Definitions
      • 9.1.1. Representation of Graphs
    • 9.2. Topological Sort
    • 9.3. Shortest-Path Algorithms
      • 9.3.1. Unweighted Shortest Paths
      • 9.3.2. Dijkstra's Algorithm
      • 9.3.3. Graphs with Negative Edge Costs
      • 9.3.4. Acyclic Graphs
      • 9.3.5. All-Pairs Shortest Path
    • 9.4. Network Flow Problems
      • 9.4.1. A Simple Maximum-Flow Algorithm
    • 9.5. Minimum Spanning Tree
      • 9.5.1. Prim's Algorithm
      • 9.5.2. Kruskal's Algorithm
    • 9.6. Applications of Depth-First Search
      • 9.6.1. Undirected Graphs
      • 9.6.2. Biconnectivity
      • 9.6.3. Euler Circuits
      • 9.6.4. Directed Graphs
      • 9.6.5. Finding Strong Components
    • 9.7. Introduction to NP-Completeness
      • 9.7.1. Easy vs. Hard
      • 9.7.2. The Class NP
      • 9.7.3. NP-Complete Problems
      • Summary
      • Exercises
      • References
  • Chapter 10 Algorithm Design Techniques
    • 10.1. Greedy Algorithms
      • 10.1.1. A Simple Scheduling Problem
      • 10.1.2. Huffman Codes
      • 10.1.3. Approximate Bin Packing
    • 10.2. Divide and Conquer
      • 10.2.1. Running Time of Divide and Conquer Algorithms
      • 10.2.2. Closest-Points Problem
      • 10.2.3. The Selection Problem
      • 10.2.4. Theoretical Improvements for Arithmetic Problems
    • 10.3. Dynamic Programming
      • 10.3.1. Using a Table Instead of Recursion
      • 10.3.2. Ordering Matrix Multiplications
      • 10.3.3. Optimal Binary Search Tree
      • 10.3.4. All-Pairs Shortest Path
    • 10.4. Randomized Algorithms
      • 10.4.1. Random Number Generators
      • 10.4.2. Skip Lists
      • 10.4.3. Primality Testing
    • 10.5. Backtracking Algorithms
      • 10.5.1. The Turnpike Reconstruction Problem
      • 10.5.2. Games
      • Summary
      • Exercises
      • References
  • Chapter 11 Amortized Analysis
    • 11.1. An Unrelated Puzzle
    • 11.2. Binomial Queues
    • 11.3. Skew Heaps
    • 11.4. Fibonacci Heaps
      • 11.4.1. Cutting Nodes in Leftist Heaps
      • 11.4.2. Lazy Merging for Binomial Queues
      • 11.4.3. The Fibonacci Heap Operations
      • 11.4.4. Proof of the Time Bound
    • 11.5. Splay Trees
      • Summary
      • Exercises
      • References
  • Chapter 12 Advanced Data Structures and Implementation
    • 12.1. Top-Down Splay Trees
    • 12.2. Red-Black Trees
      • 12.2.1. Bottom-Up Insertion
      • 12.2.2. Top-Down Red-Black Trees
      • 12.2.3. Top-Down Deletion
    • 12.3. Deterministic Skip Lists
    • 12.4. AA-Trees
    • 12.5. Treaps
    • 12.6. k-d Trees
    • 12.7. Pairing Heaps
      • Summary
      • Exercises
      • References
  • Appendix A Some Library Routines ➖
    • A.1. Classes in Package java.lang ➖
      • A.1.1. Character ➖
      • A.1.2. Integer ➖
      • A.1.3. Object ➖
      • A.1.4. String ➖
      • A.1.5. StringBuffer ➖
      • A.1.6. System ➖
      • A.1.7. Throwable ➖
    • A.2. Classes in Package java.io ➖
      • A.2.1. BufferedReader ➖
      • A.2.2. BufferedWriter ➖
      • A.2.3. File ➖
      • A.2.4. FileReader ➖
      • A.2.5. FileWriter ➖
      • A.2.6. InputStreamReader ➖
      • A.2.7. PrintWriter ➖
      • A.2.8. PushbackReader ➖
    • A.3. Classes in Package java.util ➖
      • A.3.1. Random ➖
      • A.3.2. StringTokenizer ➖
  • Appendix B The Collections Library ➖
    • B.1. Introduction ➖
    • B.2. Basic Classes ➖
      • B.2.1. Collection ➖
      • B.2.2. Iterator ➖
      • B.2.3. Comparable ➖
      • B.2.4. Comparator ➖
    • B.3. Lists ➖
      • B.3.1. ArrayList vs. LinkedList ➖
      • B.3.2. Stacks and Queues ➖
      • B.3.3. ListIterator ➖
    • B.4. Sets ➖
    • B.5. Maps ➖
      • B.5.1. put, get, remove, and contains ➖
      • B.5.2. Getting a Collection from the Map ➖
      • B.5.3. Map.Entry Pairs ➖
    • B.6. Example: Generating a Concordance ➖
      • B.6.1. Collections API Version ➖
      • B.6.2. Version Using Package DataStructures ➖
    • B.7. Example: Shortest-Path Calculation ➖
      • B.7.1. Collections API Implementation ➖
      • B.7.2. Version Using Package DataStructures ➖
    • B.8. Priority Queues ➖
      • Summary ➖
  • Index
Raw
Data Structures & Algorithm Analysis in Java (2nd Edition).md

Data Structures & Algorithm Analysis in Java (2nd Edition)

Information

  • Author: Mark Allen Weiss
  • Publisher: Pearson Addison-Wesley, 2007
  • ISBN-10: 0-321-37013-9 (0321370139)
  • ISBN-13: 978-0-321-37013-6 (9780321370136)

Links

Table of Contents

  • Chapter 1 Introduction
    • 1.1. What's the Book About?
    • 1.2. Mathematics Review
    • 1.3. A Brief Introduction to Recursion
    • 1.4. Implementing Generic Components Pre Java 5 ➕
    • 1.5. Implementing Generic Components Using Java 5 Generics ➕
    • 1.6. Function Objects ➕
  • Chapter 2 Algorithm Analysis
    • 2.1. Mathematical Background
    • 2.2. Model
    • 2.3. What to Analyze
    • 2.4. Running Time Calculations
  • Chapter 3 Lists, Stacks, and Queues
    • 3.1. Abstract Data Types (ADTs)
    • 3.2. The List ADT
    • 3.3. Lists in the Java Collections API ➕
    • 3.4. Implementation of ArrayList ➕
    • 3.5. Implementation of LinkedList ➕
    • 3.6. The Stack ADT
    • 3.7. The Queue ADT
  • Chapter 4 Trees
    • 4.1. Preliminaries
    • 4.2. Binary Trees
    • 4.3. The Search Tree ADT --- Binary Search Trees
    • 4.4. AVL Trees
    • 4.5. Splay Trees
    • 4.6. Tree Traversals (Revisited)
    • 4.7. B-Trees
    • 4.8. Sets and Maps in the Standard Library ➕
  • Chapter 5 Hashing
    • 5.1. General Idea
    • 5.2. Hash Function
    • 5.3. Separate Chaining
    • 5.4. Hash Tables Without Linked Lists ✖️
    • 5.5. Rehashing
    • 5.6. Hash Tables in the Standard Library ➕
    • 5.7. Hash Tables with Worst-Case O(1) Access ➕
    • 5.8 Universal Hashing ➕
    • 5.9 Extendible Hashing
  • Chapter 6 Priority Queues (Heaps)
    • 6.1. Model
    • 6.2. Simple Implementations
    • 6.3. Binary Heap
    • 6.4. Applications of Priority Queues
    • 6.5. d-Heaps
    • 6.6. Leftist Heaps
    • 6.7. Skew Heaps
    • 6.8. Binomial Queues
    • 6.9. Priority Queues in the Standard Library ➕
  • Chapter 7 Sorting
    • 7.1. Preliminaries
    • 7.2. Insertion Sort
    • 7.3. A Lower Bound for Simple Sorting Algorithms
    • 7.4. Shellsort
    • 7.5. Heapsort
    • 7.6. Mergesort
    • 7.7. Quicksort
    • 7.8. A General Lower Bound for Sorting
    • 7.9. Bucket Sort ➗
    • 7.10. External Sorting
  • Chapter 8 The Disjoint Set Class ✖️
    • 8.1. Equivalence Relations
    • 8.2. The Dynamic Equivalence Problem
    • 8.3. Basic Data Structure
    • 8.4. Smart Union Algorithms
    • 8.5. Path Compression
    • 8.6. Worst Case for Union-by-Rank and Path Compression
    • 8.7. An Application
  • Chapter 9 Graph Algorithms
    • 9.1. Definitions
    • 9.2. Topological Sort
    • 9.3. Shortest-Path Algorithms
    • 9.4. Network Flow Problems
    • 9.5. Minimum Spanning Tree
    • 9.6. Applications of Depth-First Search
    • 9.7. Introduction to NP-Completeness
  • Chapter 10 Algorithm Design Techniques
    • 10.1. Greedy Algorithms
    • 10.2. Divide and Conquer
    • 10.3. Dynamic Programming
    • 10.4. Randomized Algorithms
    • 10.5. Backtracking Algorithms
  • Chapter 11 Amortized Analysis
    • 11.1. An Unrelated Puzzle
    • 11.2. Binomial Queues
    • 11.3. Skew Heaps
    • 11.4. Fibonacci Heaps
    • 11.5. Splay Trees
  • Chapter 12 Advanced Data Structures and Implementation
    • 12.1. Top-Down Splay Trees
    • 12.2. Red-Black Trees
    • 12.3. Deterministic Skip Lists ➖
    • 12.4. AA-Trees ➖
    • 12.5. Treaps
    • 12.6. k-d Trees
    • 12.7. Pairing Heaps
  • Index
Raw
Data Structures & Algorithm Analysis in Java (3rd Edition).md

Data Structures & Algorithm Analysis in Java (3rd Edition)

Information

  • Author: Mark Allen Weiss
  • Publisher: Pearson Education, 2012
  • ISBN-10: 0-13-257627-9 (0132576279)
  • ISBN-13: 978-0-13-257627-7 (9780132576277)

Links

Table of Contents

  • Chapter 1 Introduction
    • 1.1. What's the Book About?
    • 1.2. Mathematics Review
      • 1.2.1. Exponents
      • 1.2.2. Logarithms
      • 1.2.3. Series
      • 1.2.4. Modular Arithmetic
      • 1.2.5. The P Word
    • 1.3. A Brief Introduction to Recursion
    • 1.4. Implementing Generic Components Pre Java 5
      • 1.4.1. Using Object for Genericity
      • 1.4.2. Wrappers for Primitive Types
      • 1.4.3. Using Interface Types for Genericity
      • 1.4.4. Compatibility of Array Types
    • 1.5. Implementing Generic Components Using Java 5 Generics
      • 1.5.1. Simple Generic Classes and Interfaces
      • 1.5.2. Autoboxing/Unboxing
      • 1.5.3. The Diamond Operator
      • 1.5.4. Wildcards with Bounds
      • 1.5.5. Generic Static Methods
      • 1.5.6. Type Bounds
      • 1.5.7. Type Erasure
      • 1.5.8. Restrictions on Generics
    • 1.6. Function Objects
      • Summary
      • Exercises
      • References
  • Chapter 2 Algorithm Analysis
    • 2.1. Mathematical Background
    • 2.2. Model
    • 2.3. What to Analyze
    • 2.4. Running Time Calculations
      • 2.4.1. A Simple Example
      • 2.4.2. General Rules
      • 2.4.3. Solutions for the Maximum Subsequence Sum Problem
      • 2.4.4. Logarithms in the Running Time
      • 2.4.5. A Grain of Salt
      • Summary
      • Exercises
      • References
  • Chapter 3 Lists, Stacks, and Queues
    • 3.1. Abstract Data Types (ADTs)
    • 3.2. The List ADT
      • 3.2.1. Simple Array Implementation of Lists
      • 3.2.2. Simple Linked Lists ✖️
    • 3.3. Lists in the Java Collections API
      • 3.3.1. Collection Interface
      • 3.3.2. Iterators
      • 3.3.3. The List Interface, ArrayList, and LinkedList
      • 3.3.4. Example: Using remove on a LinkedList
      • 3.3.5. ListIterators
    • 3.4. Implementation of ArrayList
      • 3.4.1. The Basic Class
      • 3.4.2. The Iterator and Java Nested and Inner Classes
    • 3.5. Implementation of LinkedList
    • 3.6. The Stack ADT
      • 3.6.1. Stack Model
      • 3.6.2. Implementation of Stacks
      • 3.6.3. Applications
    • 3.7. The Queue ADT
      • 3.7.1. Queue Model
      • 3.7.2. Array Implementation of Queues
      • 3.7.3. Applications of Queues
      • Summary
      • Exercises
  • Chapter 4 Trees
    • 4.1. Preliminaries
      • 4.1.1. Implementation of Trees
      • 4.1.2. Tree Traversals with an Application
    • 4.2. Binary Trees
      • 4.2.1. Implementation
      • 4.2.2. An Example: Expression Trees
    • 4.3. The Search Tree ADT --- Binary Search Trees
      • 4.3.1. contains ✖️
      • 4.3.2. findMin and findMax
      • 4.3.3. insert
      • 4.3.4. remove
      • 4.3.5. Average-Case Analysis
    • 4.4. AVL Trees
      • 4.4.1. Single Rotation
      • 4.4.2. Double Rotation
    • 4.5. Splay Trees
      • 4.5.1. A Simple Idea (That Does Not Work)
      • 4.5.2. Splaying
    • 4.6. Tree Traversals (Revisited)
    • 4.7. B-Trees
    • 4.8. Sets and Maps in the Standard Library
      • 4.8.1. Sets
      • 4.8.2. Maps
      • 4.8.3. Implementation of TreeSet and TreeMap
      • 4.8.4. An Example That Uses Several Maps
      • Summary
      • Exercises
      • References
  • Chapter 5 Hashing
    • 5.1. General Idea
    • 5.2. Hash Function
    • 5.3. Separate Chaining
    • 5.4. Hash Tables Without Linked Lists ✖️
      • 5.4.1. Linear Probing
      • 5.4.2. Quadratic Probing
      • 5.4.3. Double Hashing
    • 5.5. Rehashing
    • 5.6. Hash Tables in the Standard Library
    • 5.7. Hash Tables with Worst-Case O(1) Access
      • 5.7.1 Perfect Hashing
      • 5.7.2 Cuckoo Hashing
      • 5.7.3 Hopscotch Hashing
    • 5.8 Universal Hashing
    • 5.9 Extendible Hashing
      • Summary
      • Exercises
      • References
  • Chapter 6 Priority Queues (Heaps)
    • 6.1. Model
    • 6.2. Simple Implementations
    • 6.3. Binary Heap
      • 6.3.1. Structure Property
      • 6.3.2. Heap-Order Property
      • 6.3.3. Basic Heap Operations
      • 6.3.4. Other Heap Operations
    • 6.4. Applications of Priority Queues
      • 6.4.1. The Selection Problem
      • 6.4.2. Event Simulation
    • 6.5. d-Heaps
    • 6.6. Leftist Heaps
      • 6.6.1. Leftist Heap Property
      • 6.6.2. Leftist Heap Operations
    • 6.7. Skew Heaps
    • 6.8. Binomial Queues
      • 6.8.1. Binomial Queue Structure
      • 6.8.2. Binomial Queue Operations
      • 6.8.3. Implementation of Binomial Queues
    • 6.9. Priority Queues in the Standard Library ➕
      • Summary
      • Exercises
      • References
  • Chapter 7 Sorting
    • 7.1. Preliminaries
    • 7.2. Insertion Sort
      • 7.2.1. The Algorithm
      • 7.2.2. Analysis of Insertion Sort
    • 7.3. A Lower Bound for Simple Sorting Algorithms
    • 7.4. Shellsort
      • 7.4.1. Worst-Case Analysis of Shellsort
    • 7.5. Heapsort
      • 7.5.1. Analysis of Heapsort
    • 7.6. Mergesort
      • 7.6.1. Analysis of Mergesort
    • 7.7. Quicksort
      • 7.7.1. Picking the Pivot
      • 7.7.2. Partitioning Strategy
      • 7.7.3. Small Arrays
      • 7.7.4. Actual Quicksort Routines
      • 7.7.5. Analysis of Quicksort
      • 7.7.6. A Linear-Expected-Time Algorithm for Selection
    • 7.8. A General Lower Bound for Sorting
      • 7.8.1. Decision Trees
    • 7.9 Decision-Tree Lower Bounds for Selection Problems ➕
    • 7.10 Adversary Lower Bounds ➕
    • 7.11 Linear-Time Sorts: Bucket Sort and Radix Sort ✖️
    • 7.12 External Sorting
      • 7.12.1. Why We Need New Algorithms
      • 7.12.2. Model for External Sorting
      • 7.12.3. The Simple Algorithm
      • 7.12.4. Multiway Merge
      • 7.12.5. Polyphase Merge
      • 7.12.6. Replacement Selection
      • Summary
      • Exercises
      • References
  • Chapter 8 The Disjoint Set Class ✖️
    • 8.1. Equivalence Relations
    • 8.2. The Dynamic Equivalence Problem
    • 8.3. Basic Data Structure
    • 8.4. Smart Union Algorithms
    • 8.5. Path Compression
    • 8.6. Worst Case for Union-by-Rank and Path Compression
      • 8.6.1. Slowly Growing Functions
      • 8.6.2. An Analysis By Recursive Decomposition
      • 8.6.3. An O(M log* N) Bound
      • 8.6.4. An O(M α(M, N)) Bound
    • 8.7. An Application
      • Summary
      • Exercises
      • References
  • Chapter 9 Graph Algorithms
    • 9.1. Definitions
      • 9.1.1. Representation of Graphs
    • 9.2. Topological Sort
    • 9.3. Shortest-Path Algorithms
      • 9.3.1. Unweighted Shortest Paths
      • 9.3.2. Dijkstra's Algorithm
      • 9.3.3. Graphs with Negative Edge Costs
      • 9.3.4. Acyclic Graphs
      • 9.3.5. All-Pairs Shortest Path
      • 9.3.6. Shortest Path Example ➕
    • 9.4. Network Flow Problems
      • 9.4.1. A Simple Maximum-Flow Algorithm
    • 9.5. Minimum Spanning Tree
      • 9.5.1. Prim's Algorithm
      • 9.5.2. Kruskal's Algorithm
    • 9.6. Applications of Depth-First Search
      • 9.6.1. Undirected Graphs
      • 9.6.2. Biconnectivity
      • 9.6.3. Euler Circuits
      • 9.6.4. Directed Graphs
      • 9.6.5. Finding Strong Components
    • 9.7. Introduction to NP-Completeness
      • 9.7.1. Easy vs. Hard
      • 9.7.2. The Class NP
      • 9.7.3. NP-Complete Problems
      • Summary
      • Exercises
      • References
  • Chapter 10 Algorithm Design Techniques
    • 10.1. Greedy Algorithms
      • 10.1.1. A Simple Scheduling Problem
      • 10.1.2. Huffman Codes
      • 10.1.3. Approximate Bin Packing
    • 10.2. Divide and Conquer
      • 10.2.1. Running Time of Divide and Conquer Algorithms
      • 10.2.2. Closest-Points Problem
      • 10.2.3. The Selection Problem
      • 10.2.4. Theoretical Improvements for Arithmetic Problems
    • 10.3. Dynamic Programming
      • 10.3.1. Using a Table Instead of Recursion
      • 10.3.2. Ordering Matrix Multiplications
      • 10.3.3. Optimal Binary Search Tree
      • 10.3.4. All-Pairs Shortest Path
    • 10.4. Randomized Algorithms
      • 10.4.1. Random Number Generators
      • 10.4.2. Skip Lists
      • 10.4.3. Primality Testing
    • 10.5. Backtracking Algorithms
      • 10.5.1. The Turnpike Reconstruction Problem
      • 10.5.2. Games
      • Summary
      • Exercises
      • References
  • Chapter 11 Amortized Analysis
    • 11.1. An Unrelated Puzzle
    • 11.2. Binomial Queues
    • 11.3. Skew Heaps
    • 11.4. Fibonacci Heaps
      • 11.4.1. Cutting Nodes in Leftist Heaps
      • 11.4.2. Lazy Merging for Binomial Queues
      • 11.4.3. The Fibonacci Heap Operations
      • 11.4.4. Proof of the Time Bound
    • 11.5. Splay Trees
      • Summary
      • Exercises
      • References
  • Chapter 12 Advanced Data Structures and Implementation
    • 12.1. Top-Down Splay Trees
    • 12.2. Red-Black Trees
      • 12.2.1. Bottom-Up Insertion
      • 12.2.2. Top-Down Red-Black Trees
      • 12.2.3. Top-Down Deletion
    • 12.3. Treaps
    • 12.4 Suffix Arrays and Suffix Trees ➕
      • 12.4.1. Suffix Arrays ➕
      • 12.4.2. Suffix Trees ➕
      • 12.4.3. Linear-Time Construction of Suffix Arrays and Suffix Trees ➕
    • 12.5. k-d Trees
    • 12.6. Pairing Heaps
      • Summary
      • Exercises
      • References
  • Index
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