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Author, Editor

Author(s):

Bast, Holger
Mehlhorn, Kurt
Schäfer, Guido
Tamaki, Hisao
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Not MPG Author(s):

Tamaki, Hisao

Editor(s):

Diekert, Volker
Habib, Michel
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Not MPII Editor(s):

Diekert, Volker
Habib, Michel

BibTeX cite key*:

bast04stacs

Title, Booktitle

Title*:

Matching Algorithms Are Fast in Sparse Random Graphs

Booktitle*:

21st Annual Symposium on Theoretical Aspects of Computer Science (STACS-04)

Event, URLs

URL of the conference:

http://www.lirmm.fr/stacs2004/

URL for downloading the paper:

http://www.mpi-sb.mpg.de/~schaefer/ftp/pdf/avg-matching.pdf

Event Address*:

Montpellier, France
Language:

English

Event Date*
(no longer used):


Organization:


Event Start Date:

25 March 2004
Event End Date:

27 March 2004

Publisher

Name*:

Springer

URL:


Address*:

Berlin, Germany
Type:


Vol, No, Year, pp.

Series:

Lecture Notes in Computer Science

Volume:

2996
Number:


Month:


Pages:

81-92

Year*:

2004
VG Wort Pages:

25

ISBN/ISSN:

3-540-21236-1
Sequence Number:


DOI:

10.1007/b96012


Note, Abstract, ©


(LaTeX) Abstract:

We present an improved average case analysis of the maximum cardinality matching problem. We show that in a bipartite or general random graph on n vertices, with high probability every nonmaximum matching has an augmenting path of length O(log n). This implies that augmenting path algorithms like the Hopcroft Karp algorithm for bipartite graphs and the Micali Vazirani algorithm for general graphs, which have a worst case running time of O(mpn), run in time O(mlog n) with high probability, where m is the number of edges in the graph. Motwani proved these results for random graphs when the average degree is at least ln(n) [Average Case Analysis of Algorithms for Matchings and Related Problems, Journal of the ACM, 41(6), 1994]. Our results hold, if only the average degree is a large enough constant. At the same time we simplify the analysis of Motwani.

URL for the Abstract:

http://springerlink.metapress.com/content/06w1a8rdv18257nm/?p=4bc1f3e39909440ba6af9d3c10ab269c&pi=7



Download
Access Level:

Intranet

Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Algorithms and Complexity Group

Appearance:

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



BibTeX Entry:

@INPROCEEDINGS{bast04stacs,
AUTHOR = {Bast, Holger and Mehlhorn, Kurt and Sch{\"a}fer, Guido and Tamaki, Hisao},
 EDITOR = {Diekert, Volker and Habib, Michel},
 TITLE = {Matching Algorithms Are Fast in Sparse Random Graphs},
 BOOKTITLE = {21st Annual Symposium on Theoretical Aspects of Computer Science (STACS-04)},
 PUBLISHER = {Springer},
 YEAR = {2004},
 VOLUME = {2996},
 PAGES = {81--92},
 SERIES = {Lecture Notes in Computer Science},
 ADDRESS = {Montpellier, France},
 ISBN = {3-540-21236-1},
 DOI = {10.1007/b96012},
}

Entry last modified by Anja Becker, 01/08/2008
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