@inproceedings{4078,
abstract = {In this paper we derived combinatorial point selection results for geometric objects defined by pairs of points. In a nutshell, the results say that if many pairs of a set of n points in some fixed dimension each define a geometric object of some type, then there is a point covered by many of these objects. Based on such a result for three-dimensional spheres we show that the combinatorial size of the Delaunay triangulation of a point set in space can be reduced by adding new points. We believe that from a practical point of view this is the most important result of this paper.},
author = {Chazelle, Bernard and Edelsbrunner, Herbert and Guibas, Leonidas and Hershberger, John and Seidel, Raimund and Sharir, Micha},
booktitle = {Proceedings of the 6th annual symposium on computational geometry},
isbn = {978-0-89791-362-1},
location = {Berkley, CA, United States},
pages = {116 -- 127},
publisher = {ACM},
title = {{Slimming down by adding; selecting heavily covered points}},
doi = {10.1145/98524.98551},
year = {1990},
}