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Author, Editor

Author(s):

Bast, Hannah
Hert, Susan

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Editor(s):

Bremner, David

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BibTeX cite key*:

bh-app-00

Title, Booktitle

Title*:

The Area Partitioning Problem

Booktitle*:

Proceedings of the 12th Annual Canadian Conference on Computational Geometry (CCCG-00)

Event, URLs

URL of the conference:

http://www.cs.unb.ca/conf/cccg

URL for downloading the paper:


Event Address*:

Fredericton, New Brunswick, Canada

Language:

English

Event Date*
(no longer used):

August 16th - 19th

Organization:


Event Start Date:

16 October 2019

Event End Date:

16 October 2019

Publisher

Name*:

University of New Brunswick

URL:


Address*:

Fredericton, Canada

Type:


Vol, No, Year, pp.

Series:


Volume:


Number:


Month:

August

Pages:

163-171

Year*:

2000

VG Wort Pages:


ISBN/ISSN:


Sequence Number:


DOI:




Note, Abstract, ©


(LaTeX) Abstract:

Given an arbitrary polygon with $n$ vertices, we wish to partition it
into $p$ connected pieces of given areas. The problem is motivated by a
robotics application in which the polygon is a workspace that is to be
divided among $p$ robots performing a terrain-covering task. We show that
finding an area partitioning with minimal cut length is NP-hard in the number
of pieces and that it is even hard to approximate to within any factor that
is independent of the shape of the polygon.
We then present a simple $O(pn)$-time algorithm that produces
non-optimal, but often quite reasonable, area partitionings for arbitrary
polygons.

Keywords:

polygon partitioning, robotics, terrain covering, NP-hard



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Access Level:


Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Algorithms and Complexity Group

Audience:

experts only

Appearance:

MPII WWW Server, university publications list, MPII FTP Server, working group publication list, MPG publications list, Fachbeirat



BibTeX Entry:

@INPROCEEDINGS{bh-app-00,
AUTHOR = {Bast, Hannah and Hert, Susan},
EDITOR = {Bremner, David},
TITLE = {The Area Partitioning Problem},
BOOKTITLE = {Proceedings of the 12th Annual Canadian Conference on Computational Geometry (CCCG-00)},
PUBLISHER = {University of New Brunswick},
YEAR = {2000},
PAGES = {163--171},
ADDRESS = {Fredericton, New Brunswick, Canada},
MONTH = {August},
}


Entry last modified by Susan Hert, 03/02/2010
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Editor(s)
Susan Hert
Created
01/18/2001 07:31:06 PM
Revisions
3.
2.
1.
0.
Editor(s)
Susan Hert
Uwe Brahm
Anja Becker
Susan Hert
Edit Dates
02/08/2001 10:36:55
04/09/2001 12:08:34 PM
14.03.2001 13:15:51
18/01/2001 19:31:06