Table of Contents
- 1 What is the maximum height of a BST with n nodes?
- 2 What is the minimum and maximum height of a binary search tree BST based on the number of nodes N?
- 3 What will be the maximum number of nodes in a binary tree with height h?
- 4 Why height of binary tree is log n?
- 5 What is the maximum number of nodes in a binary tree?
- 6 How do you find the total number of nodes in BST?
- 7 What is the height of binary tree shown in Figure 1?
What is the maximum height of a BST with n nodes?
n-1
Detailed Solution. Concept: In a binary tree, a node can have maximum two children. If there are n nodes in binary tree, maximum height of the binary tree is n-1.
What is the minimum and maximum height of a binary search tree BST based on the number of nodes N?
If there are n nodes in a binary search tree, maximum height of the binary search tree is n-1 and minimum height is ceil(log2n).
How do you find the height of a BST tree?
The height of a binary tree is the height of the root node in the whole binary tree. In other words, the height of a binary tree is equal to the largest number of edges from the root to the most distant leaf node.
What will be the maximum number of nodes in a binary tree with height h?
2h – 1
2) The Maximum number of nodes in a binary tree of height ‘h’ is 2h – 1. Here the height of a tree is the maximum number of nodes on the root to leaf path. Height of a tree with a single node is considered as 1.
Why height of binary tree is log n?
With each recursion step you cut the number of candidate leaf nodes exactly by half (because our tree is complete). This means that after N halving operations there is exactly one candidate node left. As each recursion step in our binary search algorithm corresponds to exactly one height level the height is exactly N.
What is maximum height of 11 vertex binary tree?
In a binary tree, a node can have maximum two children. If there are n nodes in binary tree, maximum height of the binary tree is n-1 and minimum height is floor(log2n).
What is the maximum number of nodes in a binary tree?
If binary tree has height h, minimum number of nodes is n+1 (in case of left skewed and right skewed binary tree). For example, the binary tree shown in Figure 2 (a) with height 2 has 3 nodes. If binary tree has height h, maximum number of nodes will be when all levels are completely full.
How do you find the total number of nodes in BST?
Total number of nodes will be 2^0 + 2^1 + …. 2^h = 2^ (h+1)-1. All the rules in BST are same as in binary tree and can be visualized in the same way. Que-1. The height of a tree is the length of the longest root-to-leaf path in it.
What are the rules of binary tree and BST?
All the rules in BST are same as in binary tree and can be visualized in the same way. Que-1. The height of a tree is the length of the longest root-to-leaf path in it. The maximum and the minimum number of nodes in a binary tree of height 5 are: max number of nodes = 2^ (h+1)-1 = 2^6-1 =63.
What is the height of binary tree shown in Figure 1?
Also, the height of binary tree shown in Figure 1 (a) is 4. In a binary tree, a node can have maximum two children. If there are n nodes in binary tree, maximum height of the binary tree is n-1 and minimum height is floor (log2n).