| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4656890 | Journal of Combinatorial Theory, Series B | 2014 | 7 Pages |
Abstract
Given d+1 hyperplanes h1,â¦,hd+1 in general position in Rd, let â³(h1,â¦,hd+1) denote the unique bounded simplex enclosed by them. There exists a constant c(d)>0 such that for any finite families H1,â¦,Hd+1 of hyperplanes in Rd, there are subfamilies HiââHi with |Hiâ|⩾c(d)|Hi| and a point pâRd with the property that pââ³(h1,â¦,hd+1) for all hiâHiâ.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Imre Bárány, János Pach,