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Q. What do you understand by the tree traversal? Write down the procedure for traversing a binary tree in preorder and execute it on the following tree.
Ans:
The algorithm walks through tree data structure and performs some calculation at each node in the tree. This procedure of walking through the tree is called a tree traversal.
There are basically two different methods in which to visit systematically all the nodes of a tree-the depth-first traversal and the breadth-first traversal. Certain depth- first traversal methods happen frequently enough that they are given names of their own: preorder traversal, inorder traversal and postorder traversal.
The algorithm for traversing a tree in preorder is written as follows:-
i. Process the root R.
ii. Traverse left sub tree of R in preorder. iii. Traverse right sub tree of R in preorder. The preorder for the given tree is as follows:-
A L1 R1
A B L1l L1R R1
A B D L1R R1
A B D E R1
A B D E C R1L R1R
A B D E C F R1R
A B D E C F G
We have discussed already about three tree traversal methods in the earlier section on general tree. The similar three different ways to do the traversal -inorder , preorder, and p
A depth-first traversal of a tree visits a nodefirst and then recursively visits the subtrees of that node. Similarly, depth-first traversal of a graph visits a vertex and then rec
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