In this tutorial you will learn about the Difference Between Binary Search tree vs AVL tree and its application with practical example.
Difference Between Binary Search tree vs AVL tree
What Is AVL tree?
AVL tree is also defined as height balanced binary search tree in which each and every node is connected to a balanced factor which can be further counted as to reduce the height of left sub-tree with right sub-tree. Tree can only be called as balanced if the balance factor of each node lies between -1 and 1, and if not then the balance of AVL tree got misbalance and it needs to be get balanced. AVL tree stops binary search tree to get bend and make it balanced. Operations like insertion and deletion can be performed under proper circumstances so that it can prevent it from bending and saves him for crossing the limits of AVL guidelines. If AVL tree has N node then its height denoted as log2 (N+1). The name of AVL tree got his name from the inventors Georgy Adelson-Velsky and Evgenii Landis in 1962. AVL Tree is used to organize the data in a proper way.
What Is Binary Search tree?
In this kind of searching tree the systematic and sequential allocation of nodes are arranged, it is also called as the ordered binary tree, it is defined as in terms of binary tree class .In binary search tree the searching operation is very easy and settled and while operation it gives hint also for the desired element in that sub-tree. It is more dynamic and expert data structure then array and linked list, while searching it auto removes the half sub-tree which lower the effect of disturbance in searching. In binary search tree the time taken in searching of an element is denoted by o (log2n) .The time taken in searching of an element in the worst case is denoted by 0(n). It also provides speed in the operations like insertion and deletion.
Binary Search tree vs AVL tree In Data Structure
|BINARY SEARCH TREE||AVL TREE|
|In binary search tree, the nodes based on binary tree contain left and right binary sub-tree.||AVL tree is also a binary tree because of two children.|
|Due to their ordered characteristics operation like insertion and deletion is faster.||They are usually unordered but the operations are still faster.|
|It is well organized and settled in terms of elements in the left sub-tree and right sub-tree greater then nodes.||Due to its height balance process it takes a little complexity within to get stable in both sub-trees.|
|The height or depth of the tree is O (n) where n is the number of nodes in the Binary Search tree.||The height or depth of the tree is denoted by O(log n).|
|Binary Search tree consists of three fields, left sub-tree, node value, and the right sub-tree.||AVL tree consists of four fields in nodes left sub-tree, node value, right sub-tree, and the balance factor.|
|Searching is slow and lag in binary search tree when there are large number of nodes available in the tree because the height is not balanced.||Faster searching is present in AVL tree even when there is large number of nodes in the tree because the height is balanced.|