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Q. Write down a non recursive algorithm to traverse a binary tree in order.
Ans:
Non - recursive algorithm to traverse a binary tree in inorder is as follows:-
Initially in the beginning push NULL onto STACK and then set PTR = ROOT. Then repeat the steps written below until NULL is popped from STACK.
i. Continue down the left -most path rooted at PTR, pushing each node N onto STACK and stopping when a node N with no left child is pushed onto
STACK.
ii. [Backtracking.] Pop and process the nodes on
STACK. If the NULL is popped then Exit. If a node N
Having a right child R(N) is processed, set PTR = R(N) (by assigning PTR = RIGHT[PTR] and return to the Step(a)).
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For splaying, three trees are maintained, the central, left & right sub trees. At first, the central subtree is the complete tree and left and right subtrees are empty. The target
Post-order Traversal This can be done both iteratively and recursively. The iterative solution would need a change of the in-order traversal algorithm.
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traverse the graph as BFS
Example: (Double left rotation while a new node is added into the AVL tree (RL rotation)) Figure: Double left rotation when a new node is inserted into the AVL tree A
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