Dynamic fractional cascading

@article{Mehlhorn2005DynamicFC,
  title={Dynamic fractional cascading},
  author={Kurt Mehlhorn and Stefan N{\"a}her},
  journal={Algorithmica},
  year={2005},
  volume={5},
  pages={215-241}
}
The problem of searching for a key in many ordered lists arises frequently in computational geometry. Chazelle and Guibas recently introduced fractional cascading as a general technique for solving this type of problem. In this paper we show that fractional cascading also supports insertions into and deletions from the lists efficiently. More specifically, we show that a search for a key inn lists takes timeO(logN +n log logN) and an insertion or deletion takes timeO(log logN). HereN is the… 
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