MPI-INF D1 Publications: Journal Article: Using the Incompressibility Method to obtain Local Lemma results for {Ramsey-type} Problems

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Author(s):

Schweitzer, Pascal

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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.
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Categories, Keywords:	Incompressibility, Lov\'{a}sz Local Lemma, Ramsey Theory, Data Compression, Algorithms
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Download Access Level:	Public

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:

@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

Edit History (please click the blue arrow to see the details)

	Editor(s) [Library]	Created 02/07/2009 11:25:36
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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