A Functional Approach to Data Structures and Its Use in Multidimensional Searching

@article{Chazelle1988AFA,
  title={A Functional Approach to Data Structures and Its Use in Multidimensional Searching},
  author={Bernard Chazelle},
  journal={SIAM J. Comput.},
  year={1988},
  volume={17},
  pages={427-462}
}
We establish new upper bounds on the complexity of multidimensional 3earching. Our results include, in particular, linear-size data structures for range and rectangle counting in two dimensions with logarithmic query time. More generally, we give improved data structures for rectangle problems in any dimension, in a static as well as a dynamic setting… CONTINUE READING