Preface
Chapter 1: Introduction to Data Structures and Algorithms
1.1. What is a Data Structure?
1.2. Algorithms: A First Look
1.3. Algorithm Analysis and Big O Notation
1.4. Design and Analysis of Algorithms
1.5. Introduction to C++ Programming
1.6. Overview of Microsoft Compiler
Chapter 2: Arrays
2.1. Introduction to Arrays
2.2. One-Dimensional Arrays
2.3. Multi-Dimensional Arrays
2.4. Arrays and Memory Allocation
2.5. Sorting Algorithms: Bubble Sort, Selection Sort, Insertion Sort
2.6. Searching Algorithms: Linear Search, Binary Search
2.7. Applications of Arrays
Chapter 3: Linked Lists
3.1. Introduction to Linked Lists
3.2. Singly Linked Lists
3.3. Doubly Linked Lists
3.4. Circular Linked Lists
3.5. Operations on Linked Lists: Insertion, Deletion, Traversal
3.6. Applications of Linked Lists
Chapter 4: Stacks
4.1. Introduction to Stacks
4.2. Stack Operations: Push, Pop, Peek
4.3. Implementation of Stacks using Arrays
4.4. Implementation of Stacks using Linked Lists
4.5. Applications of Stacks: Expression Evaluation, Parenthesis Matching
4.6. The Stack ADT (Abstract Data Type)
Chapter 5: Queues
5.1. Introduction to Queues
5.2. Queue Operations: Enqueue, Dequeue, Front
5.3. Implementation of Queues using Arrays
5.4. Implementation of Queues using Linked Lists
5.5. Circular Queues
5.6. Priority Queues
5.7. Applications of Queues: Job Scheduling, Printer Buffers
Chapter 6: Trees
6.1. Introduction to Trees
6.2. Binary Trees
6.3. Binary Search Trees
6.4. AVL Trees (Self-Balancing Binary Search Trees)
6.5. Operations on Trees: Insertion, Deletion, Traversal
6.6. B-Trees and Red-Black Trees
6.7. Applications of Trees: Expression Trees, File Hierarchies
Chapter 7: Heaps
7.1. Introduction to Heaps
7.2. Binary Heaps
7.3. Heap Operations: Insertion, Deletion, Heapify
7.4. Applications of Heaps: Priority Queues, Sorting (Heap Sort)
7.5. Fibonacci Heaps and Their Applications
Chapter 8: Hashing
8.1. Introduction to Hashing
8.2. Hash Functions
8.3. Collision Resolution Techniques: Chaining, Open Addressing
8.4. Hash Table Operations: Insert, Delete, Search
8.5. Applications of Hashing: Symbol Tables, Caching
Chapter 9: Graphs
9.1. Introduction to Graphs
9.2. Graph Representations: Adjacency Matrix, Adjacency List
9.3. Graph Traversal Algorithms: Depth-First Search (DFS), Breadth-First Search (BFS)
9.4. Shortest Path Algorithms: Dijkstra’s Algorithm, Bellman-Ford Algorithm
9.5. Minimum Spanning Tree: Kruskal’s Algorithm, Prim’s Algorithm
9.6. Applications of Graphs: Shortest Paths, Network Flow, Scheduling
Chapter 10: Sorting and Searching Algorithms
10.1. Sorting Algorithms Overview
10.2. Quick Sort, Merge Sort, Heap Sort
10.3. Comparison of Sorting Algorithms
10.4. Searching Algorithms: Linear Search, Binary Search
10.5. Binary Search Trees and Balanced Trees
10.6. Search Trees and Their Applications
Chapter 11: Dynamic Programming
11.1. Introduction to Dynamic Programming
11.2. Problem-Solving Techniques
11.3. Fibonacci Sequence
11.4. Longest Common Subsequence
11.5. Knapsack Problem
11.6. Matrix Chain Multiplication
11.7. Applications of Dynamic Programming
Chapter 12: Greedy Algorithms
12.1. Introduction to Greedy Algorithms
12.2. Greedy Approach: General Strategy
12.3. Activity Selection Problem
12.4. Fractional Knapsack Problem
12.5. Huffman Coding
12.6. Applications of Greedy Algorithms
Chapter 13: Divide and Conquer Algorithms
13.1. Introduction to Divide and Conquer
13.2. Merge Sort and Quick Sort
13.3. Binary Search
13.4. Strassen’s Matrix Multiplication
13.5. Applications of Divide and Conquer
Chapter 14: Backtracking and Branch and Bound
14.1. Introduction to Backtracking
14.2. N-Queens Problem
14.3. Subset Sum Problem
14.4. Branch and Bound Methods
14.5. Applications of Backtracking and Branch and Bound
Chapter 15: String Algorithms
15.1. String Matching Algorithms: Naive Search, Knuth-Morris-Pratt, Boyer-Moore
15.2. Trie Data Structure
15.3. Suffix Trees and Suffix Arrays
15.4. Applications of String Algorithms
Chapter 16: Computational Geometry
16.1. Introduction to Computational Geometry
16.2. Convex Hull Algorithms
16.3. Line Intersection Algorithms
16.4. Applications of Computational Geometry
Appendix A: C++ Basics
- A.1. C++ Syntax and Structure
- A.2. Pointers and Memory Management
- A.3. C++ Object-Oriented Programming Concepts
- A.4. Using Microsoft C++ Compiler
