# What is threaded binary tree in data structure

A thrreaded tree can be represented using array representation or linked list representation. When what to eat and not to eat when your pregnant binary tree is represented using linked list representation, the reference part of the node which doesn't have threzded child is filled with a NULL pointer. In any binary tree linked list representation, there is a number of NULL pointers than actual pointers.

This NULL pointer does not play any role except indicating that there is no link no child. Perlis and C. Thornton have proposed new binary tree called " Threaded Binary Tree ", which makes use of NULL pointers to improve its traversal process.

In a threaded binary tree, NULL pointers are replaced by references of other nodes in the tree. These extra references are called as threads. Threaded Binary Tree is also a binary tree in which all left child pointers that structue NULL in Linked list representation points to its in-order whaf, and all right child pointers that are NULL in Linked list representation points to its in-order successor.

To convert the above example binary tree into a threaded binary tree, first find the in-order traversal of that tree Above example binary tree is converted into threaded binary tree as threaddd. The perfect place for easy learning Place your ad here. Previous Next. If there is no in-order predecessor or in-order successor, then it points to the root node.

Consider the following binary tree In-order traversal of above binary tree In the above figure, threads are indicated with dotted links.

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Jul 25,  · These special pointers are threaded and the binary tree having such pointers is called a threaded binary tree. Thread in a binary tree is represented by a dotted line. In linked list representation of a binary tree, they are a number of a NULL pointer than actual pointers. This NULL pointer does not play any role except indicating there is no child. The threaded binary tree is proposed by A.J Perlis . A. J. Perlis and C. Thornton have proposed new binary tree called " Threaded Binary Tree ", which makes use of NULL pointers to improve its traversal process. In a threaded binary tree, NULL pointers are replaced by references of other nodes in the . Aug 30,  · A binary tree is threaded by making all right child pointers that would normally be null point to the inorder successor of the node (if it exists), and all left child pointers that would normally be null point to the inorder predecessor of the node. We have the pointers reference the next node in an inorder traversal; called threads. We need to know if a pointer is an actual link or a Missing: data structure.

Get FREE domain for 1st year and build your brand new site. Threaded binary tree is a simple binary tree but they have a speciality that null pointers of leaf node of the binary tree is set to inorder predecessor or inorder successor. The main idea behind setting such a structure is to make the inorder and preorder traversal of the tree faster without using any additional data structure e. Double Threaded Binary Tree : Here both the right as well as the left NULL pointers are made to point inorder successor and inorder predecessor respectively.

Following is the node structure in a Single threaded binary tree and Double threaded binary tree:. After performing the following operations we need to make sure that our new binary tree still follows all the conditions of a threaded binary tree and also these operations should be performed with least amount of space and time complexity possible.

Operations in Threaded Binary Tree. The idea of threaded binary trees is to make inorder traversal of the binary tree faster and do it without using any extra space, so sometimes in small systems where hardware is very limited we use threaded binary tree for better efficiency of the software in a limited hardware space.

To understand these operations better with code explanation you can follow the link given in operations in threaded binary tree section. What happens with righmost and leftmost null nodes? Operations in Threaded Binary Tree We can also perform various operations in a threaded binary tree like - 1. Insert 2.

Delete After performing the following operations we need to make sure that our new binary tree still follows all the conditions of a threaded binary tree and also these operations should be performed with least amount of space and time complexity possible. Time and space complexity for operations Time complexity for for insertion : log n for deletion : log n for seaching : log n space complexity for insertion is O 1 , for deletion and searching we donot require any extra space.