Rotations in binary tree, Data Structure & Algorithms

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How can you rotate a Binary Tree? Explain right and left rotations by taking an example.

 If after we have inserted a node in a Binary search tree, the balancing factor (height of left subtree - height of right subtree) of each node remains 0, 1 and -1 then there is no need of modification or alteration of original tree. If balancing factor of any node is either +2 or -2, the tree becomes unbalanced. It can be balanced by using left rotation or right rotation or a combination of both the rotations.

For example

1.  In the tree drawn below, after inserting node 70 , the balance factor of tree  at the root node (2) so the tree is rotated left to have a height balanced tree shown by (a) to (b):

1900_Rotations_in_Binary_Tree.png

 

2.  In the tree drawn below, after inserting 10 the balance factor of tree at root node is +2 so the tree is rotated right to have height balanced tree as shown by(a) to (b) below:997_Rotations_in_Binary_Tree_assignment_help.png

 


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