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Author, Editor(s)

Author(s):

Schweitzer, Pascal

dblp



BibTeX cite key*:

Schweitzer2008

Title

Title*:

Using the Incompressibility Method to obtain Local Lemma results for Ramsey-type Problems

Journal

Journal Title*:

Information Processing Letters

Journal's URL:

http://www.elsevier.com/locate/ipl/

Download URL
for the article:

http://dx.doi.org/10.1016/j.ipl.2008.09.030

Language:

English

Publisher

Publisher's
Name:

Elsevier

Publisher's URL:

http://www.elsevier.com/

Publisher's
Address:

Amsterdam, The Netherlands

ISSN:

0020-0190

Vol, No, pp, Date

Volume*:

109

Number:

4

Publishing Date:

January 2009

Pages*:

229-232

Number of
VG Pages:

4

Page Start:

229

Page End:

232

Sequence Number:


DOI:

10.1016/j.ipl.2008.09.030

Note, Abstract, ©

Note:


(LaTeX) Abstract:

We reveal a connection between the incompressibility method and the Lov\'{a}sz local lemma in the context of Ramsey theory.
We obtain bounds by repeatedly encoding objects of interest and thereby compressing strings. The method is demonstrated on the example of van der Waerden numbers.
In particular we reprove that $w(k;c) \geq \frac{c^{k-3}}{k} \cdot \frac{k-1}{k}$.
The method is applicable to obtain lower bounds of Ramsey numbers, large transitive subtournaments and other Ramsey
phenomena as well.

URL for the Abstract:


Categories,
Keywords:

Incompressibility, Lov\'{a}sz Local Lemma, Ramsey Theory, Data Compression, Algorithms

HyperLinks / References / URLs:


Copyright Message:


Personal Comments:


Download
Access Level:

Public

Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Algorithms and Complexity Group

Appearance:

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BibTeX Entry:

@ARTICLE{Schweitzer2008,
AUTHOR = {Schweitzer, Pascal},
TITLE = {Using the Incompressibility Method to obtain Local Lemma results for {Ramsey-type} Problems},
JOURNAL = {Information Processing Letters},
PUBLISHER = {Elsevier},
YEAR = {2009},
NUMBER = {4},
VOLUME = {109},
PAGES = {229--232},
ADDRESS = {Amsterdam, The Netherlands},
MONTH = {January},
ISBN = {0020-0190},
DOI = {10.1016/j.ipl.2008.09.030},
}


Entry last modified by Anja Becker, 03/09/2010
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Editor(s)
[Library]
Created
02/07/2009 11:25:36 AM
Revisions
2.
1.
0.

Editor(s)
Anja Becker
Pascal Schweitzer
Pascal Schweitzer

Edit Dates
09.03.2010 14:41:17
04/20/2009 12:31:23 PM
02/07/2009 11:25:36 AM

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