Fractional cascading: I. A data structuring technique

@article{Chazelle2005FractionalCI,
  title={Fractional cascading: I. A data structuring technique},
  author={Bernard Chazelle and Leonidas J. Guibas},
  journal={Algorithmica},
  year={2005},
  volume={1},
  pages={133-162}
}
In computational geometry many search problems and range queries can be solved by performing an iterative search for the same key in separate ordered lists. In this paper we show that, if these ordered lists can be put in a one-to-one correspondence with the nodes of a graph of degreed so that the iterative search always proceeds along edges of that graph, then we can do much better than the obvious sequence of binary searches. Without expanding the storage by more than a constant factor, we… 

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