Title
Proper Coloring of Geometric Hypergraphs.
Abstract
We study whether for a given planar family F there is an m such that any finite set of points can be 3-colored such that any member of F that contains at least m points contains two points with different colors. We conjecture that if F is a family of pseudo-disks, then m=3 is sufficient. We prove that when F is the family of all homothetic copies of a given convex polygon, then such an m exists. We also study the problem in higher dimensions.
Year
DOI
Venue
2017
10.4230/LIPIcs.SoCG.2017.47
Symposium on Computational Geometry
DocType
Volume
Citations 
Conference
abs/1612.02158
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Balázs Keszegh115624.36
Dömötör Pálvölgyi220229.14