@inproceedings{4077,
abstract = {We prove that for any set S of n points in the plane and n3-α triangles spanned by the points of S there exists a point (not necessarily of S) contained in at least n3-3α/(512 log25 n) of the triangles. This implies that any set of n points in three - dimensional space defines at most 6.4n8/3 log5/3 n halving planes.},
author = {Aronov, Boris and Chazelle, Bernard and Edelsbrunner, Herbert and Guibas, Leonidas and Sharir, Micha and Wenger, Rephael},
booktitle = {Proceedings of the 6th annual symposium on Computational geometry},
isbn = {978-0-89791-362-1},
location = {Berkley, CA, United States},
pages = {112 -- 115},
publisher = {ACM},
title = {{Points and triangles in the plane and halving planes in space}},
doi = {10.1145/98524.98548},
year = {1990},
}