We consider a fundamental problem in data structures, static predecessor searching: Given a subset S of size n from the universe [m], store S so that queries of the form “What i...
We consider the approximate nearest neighbour search problem on the Hamming cube {0, 1}d. We show that a randomised cell probe algorithm that uses polynomial storage and word size...
In this paper we develop a new technique for proving lower bounds on the update time and query time of dynamic data structures in the cell probe model. With this technique, we pro...
We revisit classical geometric search problems under the assumption of rational coordinates. Our main result is a tight bound for point separation, ie, to determine whether n given...