Explain AVL Tree?
GIAN Tutorials
10:57 PM
AVL Tree AVL Tree is invented by GM Adelson - Velsky and EM Landis in 1962. The tree is named AVL in honour of its inventors. 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. Tree is said to be balanced if balance factor of each node is in between -1 to 1, otherwise, the tree will be unbalanced and need to be balanced. Balance Factor (k) = height (left(k)) - height (right(k)) If balance factor of any node is 1, it means that the left sub-tree is one level higher than the right sub-tree. If balance factor of any node is 0, it means that the left sub-tree and right sub-tree contain equal height. If balance factor of any node is -1, it means that the left sub-tree is one level lower than the right sub-tree. An AVL tree is given in the following figure. We can see that, balance factor associated with each n...
