Lower bounds in on-line geometric searching

@article{Schuierer2001LowerBI,
  title={Lower bounds in on-line geometric searching},
  author={Sven Schuierer},
  journal={Comput. Geom.},
  year={2001},
  volume={18},
  pages={37-53}
}
We present a new technique to prove lower bounds for geometric on-line searching problems. We assume that a target of unknown location is hidden somewhere in a known environment and a searcher is trying to find it. We are interested in lower bounds on the competitive ratioof the search strategy, that is, the ratio of the distance traveled by the searcher to the distance of the target. The technique we present is applicable to a number of problems, such as biased searching on m rays and on-line… CONTINUE READING

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