1.4 KiB
1.4 KiB
AVL Tree Documentation
An AVL tree is a self-balancing binary search tree that maintains a height-balanced property for every node in the tree. The height-balanced property ensures that the height difference between the left and right subtrees of every node is at most 1, resulting in a more balanced tree structure.
Advantages of AVL Trees
- Fast search, insertion, and deletion: AVL trees are faster than unbalanced binary search trees for search, insertion, and deletion operations because they maintain a more balanced structure.
- Better worst-case performance: AVL trees have a guaranteed worst-case performance of O(log n), which is faster than unbalanced binary search trees that can have a worst-case performance of O(n).
Basic Components of an AVL Tree
An AVL tree consists of nodes, each containing a value and pointers to its left and right child nodes. The height of a node is defined as the number of edges from the node to its deepest leaf. The height difference between the left and right subtrees of a node is called the balance factor, and it must be at most 1 for every node in the tree.