With suitable example explain various types of tree traversal methods.
Question
With suitable example explain various types of tree traversal methods.
Solution
Sure! Tree traversal methods are used to visit each node in a tree data structure. There are three main types of tree traversal methods: in-order, pre-order, and post-order. Let's explain each method with a suitable example:
- In-order traversal: In this method, we visit the left subtree, then the root node, and finally the right subtree. This method is commonly used to retrieve the nodes of a binary search tree in ascending order.
Example: Consider a binary search tree with the following nodes: 5, 3, 7, 2, 4, 6, 8. The in-order traversal of this tree would be: 2, 3, 4, 5, 6, 7, 8.
- Pre-order traversal: In this method, we visit the root node first, then the left subtree, and finally the right subtree. This method is useful for creating a copy of the tree or for prefix expression evaluation.
Example: Using the same binary search tree as before, the pre-order traversal would be: 5, 3, 2, 4, 7, 6, 8.
- Post-order traversal: In this method, we visit the left subtree, then the right subtree, and finally the root node. This method is commonly used to delete the tree or for postfix expression evaluation.
Example: Continuing with the same binary search tree, the post-order traversal would be: 2, 4, 3, 6, 8, 7, 5.
These tree traversal methods provide different ways to visit and process the nodes of a tree, depending on the specific requirements of the problem at hand.
Similar Questions
Implement Inorder, preorder and postorder tree traversal techniques.Unlike linear data structures (Array, Linked List, Queues, Stacks, etc) which have only one logical way to traverse them, trees can be traversed in different ways. The following are the generally used methods for traversing trees:INORDER TRAVERSAL:Traverse the left subtree, i.e., call Inorder(left->subtree)Visit the root.Traverse the right subtree, i.e., call Inorder(right->subtree)PREORDER TRAVERSAL:Visit the root.Traverse the left subtree, i.e., call Preorder(left->subtree)Traverse the right subtree, i.e., call Preorder(right->subtree)Postorder Traversal:Traverse the left subtree, i.e., call Postorder(left->subtree)Traverse the right subtree, i.e., call Postorder(right->subtree)Visit the rootInput Format:The input consists of two lines:The first line contains the number of nodes in the binary tree.The second line contains the values of the nodes, separated by spaces, representing the binary tree.Output Format:First Line contains the Inorder TraversalSecod Line contains the Preorder TravesalThird Line contains th Postorder Traversal Sample input6 5 3 8 1 4 10Sample output1 3 4 5 8 10 5 3 1 4 8 10 1 4 3 10 8 5
- Provide a detailed algorithm for the Inorder tree traversal method. explain the answer for 5 marks
What is in-order traversal?the root node is visited first, then the left subtree and finally the right subtreethe left subtree is visited first, then the root and later the right sub-treeleft subtree is visited first, then the right subtree and finally the root nodeI don't know
A level-order traversal of a tree is also known as a breadth-first traversal.Group of answer choicesTrueFalse
Which traversal technique visits the tree level by level, from left to right?OptionsLevel-order traversalIn-order traversalPre-order traversalPost-order traversal
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