Data structure: Presentation about Trees.pptx

Just presentation about data structre

1. Tashkent University of Information Technologies named after Muhammad Al-Khwarizmi Student of group 319-23, Faculty of Software Engineering Independent Work. Done by: Nuraliyuev Abdulloh Checked by: Ravshanov Shohjaxon

2. Classification of trees

3. Introduction to Tree Data Structures What Are Tree Data Structures? A hierarchical data structure consisting of nodes. Features: Root node as the starting point. Parent-child relationships. Recursive definition. Applications: File systems, databases, network routing.

4. Key Properties of Trees Characteristics of Trees Nodes : Data elements. Edges : Connections between nodes. Root : The topmost node. Height : Longest path from root to leaf. Leaf : Nodes without children.

5. Types of Trees in Data Structures Classification of Trees Based on structure and properties: General Tree. Binary Tree. Binary Search Tree. Balanced Trees (e.g., AVL Tree, Red-Black Tree). Specialized Trees (e.g., Trie , B-tree).

6. Binary Trees Definition: Each node has at most two children. Properties : Left child and right child. Full, Complete, and Perfect Binary Trees. Applications: Expression evaluation, sorting.

7. Binary Search Trees (BST) Definition: A binary tree where left child < parent < right child. Operations: Search, Insert, Delete (O(log n) average). Application: Efficient searching and sorting.

8. Balanced Trees AVL Tree : Self-balancing binary search tree. Rotations to maintain balance Red-Black Tree : Binary tree with color properties for balancing Importance: Ensures O(log n) operations.

9. Balanced Trees AVL Tree : Self-balancing binary search tree. Rotations to maintain balance Red-Black Tree : Binary tree with color properties for balancing Importance: Ensures O(log n) operations.

10. Specialized Trees Trie : Prefix tree for string operations (e.g., autocomplete). B-tree : Balanced tree for database indexing. Heap : Used in priority queues.

11. Example Problem 1 – Traversing a Binary Tree Problem: Write a C++ program to perform an in-order traversal of a binary tree. Solution (C++ Code):

12. Example Problem 2 – Searching in a Binary Search Tree Problem: Write a C++ program to search for a key in a BST. Solution (C++ Code) :

13. Conclusion Trees in data structures are fundamental and versatile, providing efficient solutions for hierarchical data management. "A well-organized tree structure is the root of efficient computation."