Max-Planck-Institut für Informatik
max planck institut
informatik
mpii logo Minerva of the Max Planck Society
 

MPI-I-92-153

Semi-dynamic maintenance of the width of a planar point set

Schwarz, Christian

MPI-I-92-153. December 1992, 14 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
We give an algorithm that maintains an approximation of the width of a
set of $n$ points in the plane in $O(\alpha\log n)$ amortized
time, if only insertions or only deletions are performed.
The data structure allows for reporting the approximation in
$O(\alpha\log n\log\log n)$ time.
$\alpha$ is a parameter that expresses the quality of the approximation.
Our data structure is based on a method of Janardan that maintains an
approximation of the width under insertions and deletions using
$O(\alpha\log^2 n)$ time for the width query and the updates.
Acknowledgement:
References to related material:

To download this research report, please select the type of document that fits best your needs.Attachement Size(s):
MPI-I-92-153.pdfMPI-I-92-153.pdf13163 KBytes
Please note: If you don't have a viewer for PostScript on your platform, try to install GhostScript and GhostView
URL to this document: http://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/1992-153
Hide details for BibTeXBibTeX
@TECHREPORT{Schwarz92,
  AUTHOR = {Schwarz, Christian},
  TITLE = {Semi-dynamic maintenance of the width of a planar point set},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-92-153},
  MONTH = {December},
  YEAR = {1992},
  ISSN = {0946-011X},
}