Probabilistic Analysis for Combinatorial Functions of Moving Points

@inproceedings{Zhang1997ProbabilisticAF,
  title={Probabilistic Analysis for Combinatorial Functions of Moving Points},
  author={Li Zhang and Harish Devarajan and Julien Basch and Piotr Indyk},
  booktitle={Symposium on Computational Geometry},
  year={1997}
}
We initiate a probabilistic study of configuration functions of moving points. In our probabilistic model, a particle is given an initiaf position and a velocity drawn independently at random from the same distribution D. We show that if n particles are drawn independently at random from the uniform distribution on the square, their convex hull undergoes El(logz n) combinatorial changes in expectation, their Voronoi diagram undergoes e(n312 ) combinatorial changes, and their closest pair… CONTINUE READING

Similar Papers

Loading similar papers…