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Proceedings Article, Paper
@InProceedings
Beitrag in Tagungsband, Workshop

Author, Editor
Author(s):
Ramos, Edgar A.dblp
Editor(s):
BibTeX cite key*:
Ramos2000d
Title, Booktitle
Title*:
Linear Programming Queries Revisited
Booktitle*:
Proceedings of the 16th Annual Symposium on Computational Geometry (SCG-00)
Event, URLs
Conference URL::
http://www.cs.ust.hk/tcsc/scg00.html
Downloading URL:
http://www.mpi-sb.mpg.de/~ramos
Event Address*:
Clear Water Bay, Kowloon, Hong Kong
Language:
English
Event Date*
(no longer used):
June 12-14, 2000
Organization:
Association of Computing Machinery (ACM)
Event Start Date:
12 June 2000
Event End Date:
14 June 2000
Publisher
Name*:
ACM Press
URL:
Address*:
New York, USA
Type:
Vol, No, Year, pp.
Series:
Volume:
Number:
Month:
June
Pages:
176-181
Year*:
2000
VG Wort Pages:
ISBN/ISSN:
Sequence Number:
DOI:
Note, Abstract, ©
(LaTeX) Abstract:
We describe an approach for answering linear programming queries with respect to
a set of $n$ linear constraints in $\Re^d$, for a fixed dimension $d$. Solutions
to this problem had been given before by Matou\v{s}ek (1993) using a multidimesional
version of parametric search and by Chan (1996) using randomization and Clarkson's
approach to linear programming. These previous approaches use data structures for
halfspace-range emptiness queries and reporting queries, respectively. Our approach
is a generalization of Chan's: it also uses halfspace-range reporting data structures,
Clarkson's approach to linear programming, and avoids parametric search; unlike
Chan's appraoch, it gives deterministic solutions without considerable additional
preprocessing overhead.
The new solution is as good or improves the previous solutions in all the range of
storage space: with $O(n^{\fdh} \log^{O(1)} n)$ storage space, it achieves query time
$O(\log^{ c \log d} n)$, where $c$ is a small constant independent from $d$, in
comparison to $O(\log^{d+1} n)$ for Matou\v{s}ek's data structure and $O(n^{c'\log d})$
for Chan's; with $O(n)$ storage space, it achieves, as Chan's data structure, query time
$O(n^{1-\ifdh} 2^{O(\log^* n)})$ after $O(n^{1+\epsilon})$ preprocessing, but
without using randomization.
Download
Access Level:
Public

Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Algorithms and Complexity Group
Audience:
Expert
Appearance:
MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort



BibTeX Entry:

@INPROCEEDINGS{Ramos2000d,
AUTHOR = {Ramos, Edgar A.},
 TITLE = {Linear Programming Queries Revisited},
 BOOKTITLE = {Proceedings of the 16th Annual Symposium on Computational Geometry (SCG-00)},
 PUBLISHER = {ACM Press},
 YEAR = {2000},
 ORGANIZATION = {Association of Computing Machinery (ACM)},
 PAGES = {176--181},
 ADDRESS = {Clear Water Bay, Kowloon, Hong Kong},
 MONTH = {June},
}

Entry last modified by Uwe Brahm, 03/02/2010
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Editor(s)
Edgar A. Ramos		Created
02/23/2001 17:26:17
Revisions
4.
3.
2.
1.
0.		Editor(s)
Uwe Brahm
Anja Becker
Anja Becker
Anja Becker
Anja Becker		Edit Dates
02/14/2005 09:32:49 PM
20.03.2001 17:05:12
20.03.2001 15:53:33
14.03.2001 14:08:12
23/02/2001 17:26:17