@article{MAKHILLAJIT201615116157, title = {An Optimal Algorithm for Range Search on Multidimensional Points}, journal = {Asian Journal of Information Technology}, volume = {15}, number = {11}, pages = {1723-1730}, year = {2016}, issn = {1682-3915}, doi = {ajit.2016.1723.1730}, url = {https://makhillpublications.co/view-article.php?issn=1682-3915&doi=ajit.2016.1723.1730}, author = {K.S. and}, keywords = {time,BITS kd-tree,threaded trie,range search,algorithm}, abstract = {This study proposes an efficient and novel method to address range search on multidimensional points in θ(t) time where t is the number of points reported in ℜk space. This is accomplished by introducing a new data structure, called BITS kd-tree. This structure also supports fast updation that takes θ(1) time for insertion and O(log n) time for deletion. The earlier best known algorithm for this problem is O(logkn+t) time in the pointer machine model.} }