InforLorV4, Main, Exploration, bibRecord, 003411

Lower Bounds for Pinning Lines by Balls (Extended Abstract)

Identifieur interne : 003411 ( Main/Exploration ); précédent : 003410; suivant : 003412

Lower Bounds for Pinning Lines by Balls (Extended Abstract)

Auteurs : Otfried Cheong [Corée du Sud] ; Xavier Goaoc [France] ; Andreas Holmsen [Corée du Sud]

Source :

RBID : Hal:inria-00431437

Abstract

It is known that if n>=2d pairwise disjoint balls in R^d 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.

Url:

https://hal.inria.fr/inria-00431437

DOI: 10.1016/j.endm.2009.07.094

Affiliations:

Links toward previous steps (curation, corpus...)

to stream Hal, to step Corpus: 002F95
to stream Hal, to step Curation: 002F95
to stream Hal, to step Checkpoint: 002A62
to stream Main, to step Merge: 003493
to stream Main, to step Curation: 003411

Le document en format XML

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Lower Bounds for Pinning Lines by Balls (Extended Abstract)

Lower Bounds for Pinning Lines by Balls (Extended Abstract)

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Abstract

Links toward previous steps (curation, corpus...)

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri