Lower Bounds for Pinning Lines by Balls (Extended Abstract)

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It is known that if n ≥ 2 d pairwise disjoint balls in Rd have a unique line ℓ intersecting them in a given order ≺, one can always remove a ball so that ℓ remains the only line intersecting the balls in the order induced by ≺. We show that the constant 2d is best possible, in any dimension, and derive lower bounds on Helly numbers for sets of line transversals to disjoint balls in arbitrary dimension. © 2009 Elsevier B.V. All rights reserved.
Publisher
Elsevier BV
Issue Date
2009-08
Language
English
Citation

ELECTRONIC NOTES IN DISCRETE MATHEMATICS, v.34, pp.567 - 571

ISSN
1571-0653
URI
http://hdl.handle.net/10203/94281
Appears in Collection
CS-Journal Papers(저널논문)
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