Title
Monochromatic empty triangles in two-colored point sets
Abstract
Improving a result of Aichholzer et al., we show that there exists a constant c0 satisfying the following condition. Any two-colored set of n points in general position in the plane has at least cn^4^/^3 triples of the same color such that the triangles spanned by them contain no element of the set in their interiors.
Year
DOI
Venue
2013
10.1016/j.dam.2011.08.026
Discrete Applied Mathematics
Keywords
Field
DocType
n point,following condition,constant c0,two-colored set,general position,monochromatic empty triangle,two-colored point set
Discrete mathematics,Monochromatic color,Colored,Combinatorics,General position,Existential quantification,CPCTC,Mathematics
Journal
Volume
Issue
ISSN
161
9
0166-218X
Citations 
PageRank 
References 
5
0.51
5
Authors
2
Name
Order
Citations
PageRank
János Pach12366292.28
Géza Tóth258155.60