Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4650420 | Discrete Mathematics | 2008 | 7 Pages |
Abstract
Given n red and n blue points in convex position in the plane, we show that there exists a noncrossing alternating path of length n+cn/logn. We disprove a conjecture of Erdős by constructing an example without any such path of length greater than 4/3n+c′n.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Jan Kynčl, János Pach, Géza Tóth,