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Author, Editor(s)
Author(s):
Althaus, Ernst
Mehlhorn, Kurt
dblp
dblp
BibTeX cite key*:
althaus-mehlhorn98
Title
Title*:
Maximum Network Flow with Floating Point Arithmetic
Journal
Journal Title*:
Information Processing Letters
Journal's URL:
Download URL
for the article:
http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6V0F-3TP137J-1-6&_cdi=5645&_user=43521&_orig=browse&_coverDate=05%2F15%2F1998&_sk=999339996&view=c&wchp=dGLzVzz-zSkzV&md5=17c3790dbda005248c45d3174921510f&ie=/sdarticle.pdf
Language:
English
Publisher
Publisher's
Name:
Publisher's URL:
Publisher's
Address:
ISSN:
0020-0190
Vol, No, pp, Date
Volume*:
66
Number:
3
Publishing Date:
1998
Pages*:
109-113
Number of
VG Pages:
Page Start:
Page End:
Sequence Number:
DOI:
Note, Abstract, ©
Note:
(LaTeX) Abstract:
We discuss the implementation of network flow algorithms in floating point arithmetic. We give an example to illustrate the difficulties that may arise when floating point arithmetic is used without care. We describe an iterative improvement scheme that can be put around any network flow algorithm for integer capacities. The scheme carefully scales the capacities such that all integers arising can be handled exactly using floating point arithmetic. Let
n
and
m
be the number of nodes and edges of the network, respectively. For
m
10
^{9}
and with double precision floating point arithmetic, the number of iterations is always bounded by three, and the relative error in the flow value is at most 2
^{−19}
. For
m
10
^{6}
and with double precision arithmetic, the relative error after the first iteration is bounded by 10
^{−3}
.
URL for the Abstract:
Categories,
Keywords:
Algorithms, Floating point arithmetic, Network flow
HyperLinks / References / URLs:
Copyright Message:
Personal Comments:
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Access Level:
Intranet
Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Algorithms and Complexity Group
Audience:
Expert
Appearance:
MPG publications list, university publications list, working group publication list, Fachbeirat
BibTeX Entry:
@ARTICLE
{
althaus-mehlhorn98
,
AUTHOR = {Althaus, Ernst and Mehlhorn, Kurt},
TITLE = {Maximum Network Flow with Floating Point Arithmetic},
JOURNAL = {Information Processing Letters},
YEAR = {1998},
NUMBER = {3},
VOLUME = {66},
PAGES = {109--113},
ISBN = {0020-0190},
}
Entry last modified by Anja Becker, 03/02/2010
Edit History (please click the blue arrow to see the details)
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Editor(s)
Evelyn Haak
Created
08/14/1998 10:57:13 AM
Revisions
6.
5.
4.
3.
2.
Editor(s)
Anja Becker
Christine Kiesel
Christine Kiesel
Uwe Brahm
Uwe Brahm
Edit Dates
04.01.2008 11:15:49
28.08.2006 14:49:35
28.08.2006 14:45:51
30.03.99 22:40:34
25.03.99 14:46:05