A Sorting based Algorithm for the Construction of Balanced Search Tree Automatically for smaller elements and with minimum of one Rotation for Greater Elements from BST

摘要

Tree is a best data structure for data storage and retrieval of data whenever it could be accommodated in the memory. At the same time, this is true only when the tree is height-balanced and lesser depth from the root. In this paper, we propose a sorting based new algorithm to construct the Balanced search tree from Binary Search Tree with minimum of one rotation for the given elements n >14. If the given elements n 14 , it requires one rotation from the BST., and the search cost is minimum as possible. In this paper, few case studies have been carried out and analyzed in terms of height and space requirement. Hence, the height of the output BST, normally obtain by maximum height as N/2 or (N/2) ? 3.