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Fundamentals
Chapter 1. Introduction
1.1 Algorithms
1.2 A Sample Problem—Connectivity
1.3 Union-Find Algorithms
1.4 Perspective
1.5 Summary of Topics
Chapter 2. Principles of Algorithm Analysis
2.1 Implementation and Empirical Analysis
2.2 Analysis of Algorithms
2.3 Growth of Functions
2.4 Big-Oh notation
2.5 Basic Recurrences
2.6 Examples of Algorithm Analysis
2.7 Guarantees, Predictions, and Limitations
Data Structures
Chapter 3. Elementary Data Structures
3.1 Building Blocks
3.2 Arrays
3.3 Linked Lists
3.4 Elementary List Processing
3.5 Memory Allocation for Lists
3.6 Strings
3.7 Compound Data Structures
Chapter 4. Abstract Data Types
4.1 Abstract Objects and Collections of Objects
4.2 Pushdown Stack ADT
4.3 Examples of Stack ADT Clients
4.4 Stack ADT Implementations
4.5 Creation of a New ADT
4.6 FIFO Queues and Generalized Queues
4.7 Duplicate and Index Items
4.8 First-Class ADTs
4.9 Application-Based ADT Example
4.10 Perspective
Chapter 5. Recursion and Trees
5.1 Recursive Algorithms
5.2 Divide and Conquer
5.3 Dynamic Programming
5.4 Trees
5.5 Mathematical Properties of Trees
5.6 Tree Traversal
5.7 Recursive Binary-Tree Algorithms
5.8 Graph Traversal
5.9 Perspective
Sorting
Chapter 6. Elementary Sorting Methods
6.1 Rules of the Game
6.2 Selection Sort
6.3 Insertion Sort
6.4 Bubble Sort
6.5 Performance Characteristics of Elementary Sorts
6.6 Shellsort
6.7 Sorting Other Types of Data
6.8 Index and Pointer Sorting
6.9 Sorting of Linked Lists
6.10 Key-Indexed Counting
Chapter 7. Quicksort
7.1 The Basic Algorithm
7.2 Performance Characteristics of Quicksort
7.3 Stack Size
7.4 Small Subfiles
7.5 Median-of-Three Partitioning
7.6 Duplicate Keys
7.7 Strings and Vectors
7.8 Selection
Chapter 8. Merging and Mergesor
8.1 Two-Way Merging
8.2 Abstract In-place Merge
8.3 Top-Down Mergesort
8.4 Improvements to the Basic Algorithm
8.5 Bottom-Up Mergesort
8.6 Performance Characteristics of Mergesort
8.7 Linked-List Implementations of Mergesort
8.8 Recursion Revisited
Chapter 9. Priority Queues and Heapsort
9.1 Elementary Implementations
9.2 Heap Data Structure
9.3 Algorithms on Heaps
9.4 Heapsort
9.5 Priority-Queue ADT
9.6 Priority Queues of for Index Items
9.7 Binomial Queues
Chapter 10. Radix Sorting
10.1 Bits, Bytes, and Words
10.2 Binary Quicksort
10.3 MSD Radix Sort
10.4 Three-Way Radix Quicksort
10.5 LSD Radix Sort
10.6 Performance Characteristics of Radix Sorts
10.7 Sublinear-Time Sorts
Chapter 11. Special-Purpose Sorts
11.1 Batcher`s Odd-Even Mergesort
11.2 Sorting Networks
11.3 External Sorting
11.4 Sort-Merge Implementations
11.5 Parallel Sort/Merge
Searching
Chapter 12. Symbol Tables and BSTs
12.1 Symbol-Table Abstract Data Type
12.2 Key-Indexed Search
12.3 Sequential Search
12.4 Binary Search
12.5 Binary Search Trees(BSTs)
12.6 Performance Characteristics of BSTs
12.7 Index Implementations with Symbol Tables
12.8 Insertion at the Root in BSTs
12.9 BST Implementations of Other ADT Functions
Chapter 13. Balanced Trees
13.1 Randomized BSTs
13.2 Splay BSTs
13.3 Top-Down 2-3-4 Trees
13.4 Red-Black Trees
13.5 Skip Lists
13.6 Performance Characteristics
Chapter 14. Hashing
14.1 Hash Functions
14.2 Separate Chaining
14.3 Linear Probing
14.4 Double Hashing
14.5 Dynamic Hash Tables
14.6 Perspective
Chapter 15. Radix Search
15.1 Digital Search Trees
15.2 Tries
15.3 Patricia Tries
15.4 Multiway Tries and TSTs
15.5 Text String Index Algorithms
Chapter 16. External Searching
16.1 Rules of the Game
16.2 Indexed Sequential Access
16.3 B Trees
16.4 Extendible Hashing
16.5 Perspective
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