2381/29206 Arash Farzan Arash Farzan J. Ian Munro J. Ian Munro Rajeev Raman Rajeev Raman Succinct indices for range queries with applications to orthogonal range maxima University of Leicester 2014 IR content 2014-10-28 10:40:48 Conference contribution https://figshare.le.ac.uk/articles/conference_contribution/Succinct_indices_for_range_queries_with_applications_to_orthogonal_range_maxima/10146713 We consider the problem of preprocessing N points in 2D, each endowed with a priority, to answer the following queries: given a axis-parallel rectangle, determine the point with the largest priority in the rectangle. Using the ideas of the effective entropy of range maxima queries and succinct indices for range maxima queries, we obtain a structure that uses O(N) words and answers the above query in O(logN loglogN) time. This a direct improvement of Chazelle's result from 1985 [10] for this problem - Chazelle required O(N/ε) words to answer queries in O((logN)[superscript 1+ε]) time for any constant ε > 0.