Table of Contents
Are all binary trees AVL trees?
Every Binary Search tree is not an AVL tree because BST could be either a balanced or an unbalanced tree. Every AVL tree is a binary search tree because the AVL tree follows the property of the BST. Each node in the Binary Search tree consists of three fields, i.e., left subtree, node value, and the right subtree.
Is AVL and balanced binary tree same?
No. An AVL tree is a particular type of balanced binary tree, but there are other kinds as well.
Under what condition binary tree becomes AVL tree?
To be considered an AVL tree, every node must have a balance factor inclusively between -1 and 1. If the balance factor of a node is less than or equal to -1, it is considered left-heavy. If the balance factor of a node is more than or equal to 1, it is considered right-heavy.
What makes a tree an AVL tree?
AVL Tree can be defined as height balanced binary search tree in which each node is associated with a balance factor which is calculated by subtracting the height of its right sub-tree from that of its left sub-tree.
How can we define AVL tree?
How does an AVL tree differ from a binary tree?
An Introduction to AVL Tree. AVL tree is a self-balanced binary search tree. That means, an AVL tree is a binary search tree but it is a balanced tree. A binary tree is said to be balanced, if the difference between the heights of left and right subtrees of every node in the tree is either -1, 0 or +1.
What is the difference between AVL tree and binary search tree?
Binary Tree. A binary tree is a data structure that is defined as a collection of elements called nodes.
What is a proper binary tree?
A full binary tree (sometimes proper binary tree or 2-tree) is a tree in which every node other than the leaves has two children. A complete binary tree is a binary tree in which every level, except possibly the last, is completely filled, and all nodes are as far left as possible.
What are the properties of an AVL tree?
AVL trees are self-balancing binary search trees.