Title
Hadwiger and Helly-type theorems for disjoint unit spheres in R3
Abstract
Let S be an ordered set of disjoint unit spheres in R3 We show that if every subset of at most six spheres from S admits a line transversal respecting the ordering, then the entire family has a line transversal. Without the order condition, we show that the existence of a line transversal for every subset of at most 11 spheres from S implies the existence of a line transversal forS.
Year
DOI
Venue
2005
10.1145/1064092.1064097
Symposium on Computational Geometry 2013
Keywords
DocType
ISBN
entire family,order condition,disjoint unit sphere,line transversal,Helly-type theorem,line transversal forS
Conference
1-58113-991-8
Citations 
PageRank 
References 
0
0.34
3
Authors
3
Name
Order
Citations
PageRank
Otfried Cheong159460.27
Xavier Goaoc213820.76
Andreas Holmsen3557.81