Binary Search Tree:
A binary search tree can also be known as an ordered or sorted binary tree as a result of the in-order traversal of binary search tree is all the time in sorted order.
A binary search tree is a binary tree with solely two branches by which every node of the left subtree is lower than or equal and every node in the best subtree is larger. A binary Search Tree is a node-based binary tree knowledge construction. We are able to carry out preorder, in-order, and post-order traversal utilizing the Binary Search tree.
AVL Tree:
AVL tree is a self-balancing Binary Search Tree the place the distinction between heights of left and proper subtrees can’t be greater than 1 for all nodes. This distinction is named the Steadiness Issue i.e. 0, 1, and -1.
So as to carry out this balancing, we carry out the next rotations on the unbalanced/imbalanced Binary Search Tree to make it an AVL tree.
- Left Rotation
- Proper Rotation
- Left Proper Rotation
- Proper Left Rotation
Following are the Distinction between Binary Search Tree and AVL Tree
| S.No | Binary Search Tree | AVL Tree |
|---|---|---|
| 1. | In Binary Search Tree, In AVL Tree, each node doesn’t observe the steadiness issue. | In AVL Tree, each node follows the steadiness issue i.e. 0, 1, -1. |
| 2. | Each Binary Search tree isn’t an AVL tree. | Each AVL tree is a Binary Search tree. |
| 3. | Easy to implement. | Complicated to implement. |
| 4. | The peak or depth of the tree is O(n). | The peak or depth of the tree is O(logn) |
| 5. | Looking isn’t environment friendly when there are a lot of nodes within the Binary Search tree. | Looking is environment friendly as a result of looking for the specified node is quicker as a result of balancing of top. |
| 6. | The Binary Search tree construction consists of three fields left subtree, knowledge, and proper subtree. | AVL tree construction consists of 4 fields left subtree, knowledge, proper subtree, and balancing issue. |
| 7. | It isn’t a balanced tree. | It’s a balanced tree. |
| 8. | In Binary Search tree. Insertion and deletion are simple as a result of no rotations are required. | In an AVL tree, Insertion and deletion are advanced because it requires a number of rotations to steadiness the tree. |
