Pankaj K. Agarwal, Lars Arge, Jun Yang, and Ke Yi
Proceedings of the 11th European Symposium on Algorithms (ESA '03), pages 7-18, Budapest, Hungary, September 2003.
We develop several linear or near-linear space and I/O-efficient dynamic data structures for orthogonal range-max queries and stabbing-max queries. Given a set of N weighted points in Rd, the range-max problem asks for the maximum-weight point in a query hyper-rectangle. In the dual stabbing-max problem, we are given N weighted hyper-rectangles, and we wish to find the maximum-weight rectangle containing a query point. Our structures improve on previous structures in several important ways.
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