complexity of avl tree is o(n).
yes
The AVL tree is named after its two inventors, G.M. Adelson-Velsky and E.M. Landis.
45,60,70,13,10,30,22,33,24construct avl tree
automatic volume leveling
o(logN)
AVL means Automatic Volume Leveling.
not much memory wastage.
2
An AVL tree is another balanced binary search tree. Named after their inventors, Adelson-Velskii and Landis, they were the first dynamically balanced trees to be proposed. Like red-black trees, they are not perfectly balanced, but pairs of sub-trees differ in height by at most 1, maintaining an O(logn) search time. Addition and deletion operations also take O(logn) time.Definition of an AVL treeAn AVL tree is a binary search tree which has the following properties: The sub-trees of every node differ in height by at most one.Every sub-tree is an AVL tree.
In an AVL tree, at what condition the balancing is to be done : If the 'pivotal value' (or the 'Height factor') is greater than 1 or less than -1. niraj
Binary Search Tree and AVL Tree are dictionary data structures. They are used for many search operations and also those operations where data is constantly inserted and deleted. AVL trees provide a better efficiency than BST as they maintain their upper bound of O(n*log n) through rotations.Eg: the map and set library in c++ isimplementedusing trees.