Skip to Main content Skip to Navigation
New interface
Conference papers

Helly-type Theorems for Line transversals to Disjoint Unit Balls (Extended abstract)

Abstract : We prove Helly-type theorems for line transversals to disjoint unit balls in R^d. In particular, we show that a family of n >= 2d disjoint unit balls in Rd has a line transversal if, for some ordering of the balls, every subfamily of 2d balls admits a line transversal consistent with . We also prove that a family of n >= 4d − 1 disjoint unit balls in R^d admits a line transversal if every subfamily of size 4d − 1 admits a transversal.
Document type :
Conference papers
Complete list of metadata

Cited literature [13 references]  Display  Hide  Download
Contributor : Xavier Goaoc Connect in order to contact the contributor
Submitted on : Thursday, November 12, 2009 - 7:01:51 PM
Last modification on : Saturday, June 25, 2022 - 7:41:33 PM
Long-term archiving on: : Monday, September 24, 2012 - 3:40:31 PM


Files produced by the author(s)


  • HAL Id : inria-00189019, version 1



Otfried Cheong, Xavier Goaoc, Andreas Holmsen, Sylvain Petitjean. Helly-type Theorems for Line transversals to Disjoint Unit Balls (Extended abstract). European Workshop on Computational Geometry, Mar 2006, Delphi, Greece. pp.87--89. ⟨inria-00189019⟩



Record views


Files downloads