What is the primary purpose of threading in a Threaded Binary Search Tree (TBST)?

The primary purpose of threading in a Threaded Binary Search Tree (TBST) is to make the in-order traversal of the tree more efficient. In a standard binary search tree (BST), in-order traversal requires the use of a stack or recursion to keep track of nodes, which can lead to increased memory usage and potentially slower performance due to function call overhead.

In a TBST, threads are established to point to the in-order predecessor and successor of each node, which allows for a more straightforward and efficient traversal of the tree without the need for a stack or recursion. This reduces memory overhead and improves traversal speed since the traversal can simply follow the threads from one node to the next.

Additionally, threading can allow for improved functionality in search and insert operations by reducing the time complexity associated with these actions. Overall, the TBST optimizes the binary search tree structure for scenarios where frequent traversal is required, thereby enhancing the overall performance of operations performed on the tree.