Title
Convex Polygons are Self-Coverable
Abstract
We introduce a new notion for geometric families called self-coverability and show that homothets of convex polygons are self-coverable. As a corollary, we obtain several results about coloring point sets such that any member of the family with many points contains all colors. This is dual (and in some cases equivalent) to the much investigated cover-decomposability problem.
Year
DOI
Venue
2013
10.1007/s00454-014-9582-9
Discrete & Computational Geometry
Keywords
DocType
Volume
Cover-decomposability,Geometric hypergraph coloring,Polychromatic coloring
Journal
51
Issue
ISSN
Citations 
4
0179-5376
5
PageRank 
References 
Authors
0.53
5
2
Name
Order
Citations
PageRank
Balázs Keszegh115624.36
Dömötör Pálvölgyi220229.14