DATA STRUCTURE AND ALGORITHM

1. Introduction to Data Structure

1.1 Fundamentals of Data Structure
1.2 Operations of Data Structure

1.2.1 Traversing

1.2.2 Searching (Linear and Binary Search)

1.2.3 Sorting (Bubble, Insertion, Selection, Quick and Merge sort)

1.2.4 Inserting and Deleting

1.3 Arrays as Data Structure
1.4 Storage Representation of Arrays
1.5 Polynomial Representation of Arrays

1.5.1 Addition of Two Polynomial

1.5.2 Addition of Sparse Matrix

2. Stacks

2.1 Introduction and Definition
2.2 Representation of Stacks
2.3 Operations on Stacks
2.4 Applications of Stacks
2.5 Representation of Arithmetic Expressions

2.5.1 Infix
2.5.2 Postfix
2.5.3 Prefix

3. Queues

3.1 Introduction and Definition
3.2 Representation of Queues
3.3 Operation on Queues
3.4 Applications of Queues
3.5 Dequeue
3.6 Circular Queue
3.7 Priority Queue

4. Linked List

4.1 Definition of Linked List
4.2 Dynamic Memory Management
4.3 Representation of Linked List
4.4 Operations on Linked List

4.4.1 Inserting
4.4.2 Removing
4.4.3 Searching
4.4.4 Sorting
4.4.5 Merging Nodes

4.5 Double Linked List

5. Trees

5.1 Definition of Tree
5.2 Binary Tree and their types
5.3 Representation of Binary Tree
5.4 Operations on Binary Tree
5.5 Binary Search Tree (BST)
5.6 Traversal of Binary Tree

5.6.1 Pre-order Traversal
5.6.2 In-order Traversal
5.6.3 Post-order Traversal

5.7 Threaded Binary Tree
5.8 AVL Tree
5.9 B-Tree
5.10 Operations on B-Tree

6. Graphs

6.1 Definition of Graph
6.2 Basic Concepts of Graph
6.3 Representation of Graph

6.3.1 Adjacency Matrix
6.3.2 Adjacency List

6.4 Single Source shortest path algorithm-Dijkstra’s
algorithm.
6.5 Spanning Tree
6.6 Minimum Spanning Tree

6.6.1 Kruskal’s Algorithm
6.6.2 PRIM’s Algorithm

6.7 Graph Traversal

6.7.1 Breadth First Search (BFS)
6.7.2 Depth First Search (DFS)