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9 11 8 13 75 6 Consider the binary tree above. What is the height of the tree? What is the maximum width of the tree? What is the diameter of the tree? 23 How many leaves are in the tree? 1 5

9 11 8 13 75 6 Consider the binary tree above. What is the height of the tree? What is the maximum width of the tree? What is the diameter of the tree? 23 How many leaves are in the tree? 1 5

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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### Binary Tree Structure #### Diagram Description: The diagram represents a binary tree with the following structure: - **Root Node:** 8 - **Left Subtree of Root:** - **Node 11** - Left Child: Node 9 - **Right Subtree of Root:** - **Node 6** - Left Child: Node 75 - Left Child: Node 13 - Right Child: Node 23 - Right Child: Node 1 - Left Child: Node 5 #### Questions: 1. **Consider the binary tree above.** 2. **What is the height of the tree?** [Input Box] 3. **What is the maximum width of the tree?** [Input Box] 4. **What is the diameter of the tree?** [Input Box] 5. **How many leaves are in the tree?** [Input Box]
Transcribed Image Text:### Binary Tree Structure #### Diagram Description: The diagram represents a binary tree with the following structure: - **Root Node:** 8 - **Left Subtree of Root:** - **Node 11** - Left Child: Node 9 - **Right Subtree of Root:** - **Node 6** - Left Child: Node 75 - Left Child: Node 13 - Right Child: Node 23 - Right Child: Node 1 - Left Child: Node 5 #### Questions: 1. **Consider the binary tree above.** 2. **What is the height of the tree?** [Input Box] 3. **What is the maximum width of the tree?** [Input Box] 4. **What is the diameter of the tree?** [Input Box] 5. **How many leaves are in the tree?** [Input Box]
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Step 1

Height of binary tree is : maximum number of edges between root and leaf node

Maximum width of binary tree:  maximum among width's of all levels

width of a level is : number of nodes in that level

diameter of binary tree : maximum number of nodes in the path between two leaf nodes

leaves of binary tree: are the nodes with zero children

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