Name
Abstract | ||
|---|---|---|
In this note we prove the following theorem. For any three sets of points in the plane, each of n >= 2 points such that any three points (from the union of three sets) are not collinear and the convex hull of 3n points is monochromatic, there exists an integer k is an element of {1, 2, ... , n - 1} and an open half-plane containing exactly k points from each set. |
Year | Venue | Field |
|---|---|---|
2012 | ELECTRONIC JOURNAL OF COMBINATORICS | Integer,Discrete mathematics,Colored,Monochromatic color,Combinatorics,Balanced line,Existential quantification,Convex hull,Point set,Mathematics |
DocType | Volume | Issue |
Journal | 19.0 | 1.0 |
ISSN | Citations | PageRank |
1077-8926 | 4 | 0.57 |
References | Authors | |
1 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sergey Bereg | 1 | 245 | 40.81 |
| Mikio Kano | 2 | 548 | 99.79 |