Table of Contents
- 1 What is balance factor of a node in binary tree?
- 2 Which of the nodes is in the highest node in the binary tree structure?
- 3 What is the maximum height of any AVL tree with 6 nodes assume that the height of a tree with a single node is 0?
- 4 What is the balance factor of a binary search tree?
- 5 What is the balance factor of an AVL tree?
- 6 What is the balance factor of a balanced tree?
What is balance factor of a node in binary tree?
The balance factor of a node is the height of its right subtree minus the height of its left subtree and a node with a balance factor 1, 0, or -1 is considered balanced.
Which of the nodes is in the highest node in the binary tree structure?
root node
Binary Tree Level The topmost node of a binary tree is the root node.
What is the maximum number of nodes in a binary tree of height k?
The maximum number of nodes in a binary tree of depth k is 2k−1, k≥1. Here the depth of the tree is 1. So according to the formula, it will be 21−1=1.
What is the maximum height of any AVL tree with 6 nodes assume that the height of a tree with a single node is 0?
If there are n nodes in AVL tree, maximum height can’t exceed 1.44*log2n. If height of AVL tree is h, maximum number of nodes can be 2h+1 – 1.
What is the balance factor of a binary search tree?
A binary search tree is said to be a height balanced binary search if all its nodes have a balance factor of 1,0,or -1 So, in a height balanced binary search tree all the nodes have a balance factor. Here, you will get to know how to find balance factor.
How do you calculate the balance factor of a node?
The balance factor of a node is calculated either height of left subtree – height of right subtree (OR) height of right subtree – height of left subtree. In the following explanation, we calculate as follows…
What is the balance factor of an AVL tree?
An AVL tree is a balanced binary search tree. In an AVL tree, balance factor of every node is either -1, 0 or +1. Balance factor of a node is the difference between the heights of the left and right subtrees of that node.
What is the balance factor of a balanced tree?
Instead, we store a “balance factor” in each node. This factor is an integer that tells the height difference between the node’s right and left subtrees, or more formally (this is just maths, no Go code): Based on our definition of “balanced”, the balance factor of a balanced tree can be -1, 0, or +1.
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