Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
421367 | Discrete Applied Mathematics | 2008 | 8 Pages |
Abstract
De Bruijn and Erdös proved that every noncollinear set of n points in the plane determines at least n distinct lines. We suggest a possible generalization of this theorem in the framework of metric spaces and provide partial results on related extremal combinatorial problems.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Xiaomin Chen, Vašek Chvátal,