Computing all large sums-of-pairs in ℝn and the discrete planar two-watchtower problem

Boaz Ben-Moshe; Paz Carmi; Matthew J. Katz

doi:10.1016/j.ipl.2003.07.008

Computing all large sums-of-pairs in ℝⁿ and the discrete planar two-watchtower problem

Boaz Ben-Moshe, Paz Carmi, Matthew J. Katz

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The application of Matoušek's algorithm to compute all pairs of rows in X in an n×n matrix was discussed. This algorithm was also applied to the discrete planar two-watchtower problem. It was found that the input to the discrete version of the planar two-watchtower problem is an x-monotone polygonal line in a 2-dimensional (polygonal) terrain.

Original language	English
Pages (from-to)	137-139
Number of pages	3
Journal	Information Processing Letters
Volume	89
Issue number	3
DOIs	https://doi.org/10.1016/j.ipl.2003.07.008
State	Published - 14 Feb 2004

Keywords

Algorithms
Computational geometry
Facility location

ASJC Scopus subject areas

Theoretical Computer Science
Signal Processing
Information Systems
Computer Science Applications

Access to Document

10.1016/j.ipl.2003.07.008

Cite this

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title = "Computing all large sums-of-pairs in ℝn and the discrete planar two-watchtower problem",

abstract = "The application of Matou{\v s}ek's algorithm to compute all pairs of rows in X in an n×n matrix was discussed. This algorithm was also applied to the discrete planar two-watchtower problem. It was found that the input to the discrete version of the planar two-watchtower problem is an x-monotone polygonal line in a 2-dimensional (polygonal) terrain.",

keywords = "Algorithms, Computational geometry, Facility location",

author = "Boaz Ben-Moshe and Paz Carmi and Katz, {Matthew J.}",

note = "Funding Information: ✩ This work has been supported by the Israel Ministry of Industry and Trade, LSRT consortium of the MAGNET program. * Corresponding author. E-mail addresses: benmoshe@cs.bgu.ac.il (B. Ben-Moshe), carmip@cs.bgu.ac.il (P. Carmi), matya@cs.bgu.ac.il (M.J. Katz).",

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AU - Katz, Matthew J.

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