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  Online Search for a Hyperplane in High-Dimensional Euclidean Space

Antoniadis, A., Hoeksma, R., Kisfaludi-Bak, S., & Schewior, K. (2021). Online Search for a Hyperplane in High-Dimensional Euclidean Space. Retrieved from https://arxiv.org/abs/2109.04340.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-B814-1 Version Permalink: https://hdl.handle.net/21.11116/0000-0009-B815-0
Genre: Paper

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arXiv:2109.04340.pdf (Preprint), 2MB
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 Creators:
Antoniadis, Antonios1, Author           
Hoeksma, Ruben1, Author
Kisfaludi-Bak, Sándor2, Author           
Schewior, Kevin1, Author           
Affiliations:
1External Organizations, ou_persistent22              
2Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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Free keywords: Computer Science, Computational Geometry, cs.CG,Computer Science, Data Structures and Algorithms, cs.DS
 Abstract: We consider the online search problem in which a server starting at the
origin of a $d$-dimensional Euclidean space has to find an arbitrary
hyperplane. The best-possible competitive ratio and the length of the shortest
curve from which each point on the $d$-dimensional unit sphere can be seen are
within a constant factor of each other. We show that this length is in
$\Omega(d)\cap O(d^{3/2})$.

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Language(s): eng - English
 Dates: 2021-09-092021
 Publication Status: Published online
 Pages: 7 p.
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 2109.04340
URI: https://arxiv.org/abs/2109.04340
BibTex Citekey: Antoniadis_2109.04340
 Degree: -

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