Tree Data Structure: Concepts, Types, and Algorithms

This presentation provides an in-depth understanding of Tree Data Structures in computer science. It covers the fundamental concepts, different types of trees (Binary Tree, BST, AVL, B-Trees, etc.), and essential algorithms like traversal, insertion, and deletion. Learn how trees are used in data organization, searching, and optimization for various applications.

1. T ree Presented by: Shatabdi Shil Piu ID: 201-15-3421 Section: PC I

2. Basic A B C D E Node: A node is an entity that contains a key or value and pointers to its child nodes.

3. A B C D E Edge: It is the link between any two nodes.

4. A B C D E Root It is the topmost node of a tree. root

5. A B C D E Height of a Node The height of a node is the number of edges from the node to the deepest leaf Depth of a Node The depth of a node is the number of edges from the root to the node. Height 2 Height 1 Height 0 Depth 0 Depth 1 Depth 2

6. A B C D E Parent : Any node except the root node has one edge upward to a node called parent. Child : The node below a given node connected by its edge downward is called its child node. Child Node Parent Node siblings

7. Tree Traversals Depth First Traversals Inorder Traversal Preorde Traversal Postorder Traversal Breadth First or Level Order Traversal

8. 1 2 3 4 5 1.Inorder First, visit all the nodes in the left sub-tree Then the root node Visit all the nodes in the right sub-tree l eft-> root-> right

9. 1 2 3 4 5 InorderTraversals 4-> 2 -> 5 -> 1 -> 3 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5

10. 1 2 3 4 5 2.Preorder Visit root node Visit all the nodes in the left subtree Visit all the nodes in the right subtree r oot-> left-> right

11. 1 2 3 4 5 Preorder Traversals 1-> 2 -> 4 -> 5 -> 3 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5

12. 1 2 3 4 5 3.Postorder Visit all the nodes in the left subtree Visit all the nodes in the right subtree Visit the root node left-> right->root

13. 1 2 3 4 5 Postorder Traversals 4 -> 5 -> 2 -> 3 -> 1 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5

14. 1 2 3 4 5 Tree Traversals Breadth First or Level Order Traversal

15. 1 2 3 4 5 Breadth First or Level Order Traversal 1 ->2 -> 3 -> 4 -> 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5

16. Thaharim Khan Lecturer Department of Computer Science and Engineering Daffodil International University

17. Thank You