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Paper Abstract and Keywords
Presentation 2006-05-24 13:35
Average-case Analysis for the MAX-2SAT Problem
Osamu Watanabe, Masaki Yamamoto (Tokyo Inst. of Tech.)
Abstract (in Japanese) (See Japanese page) 
(in English) We propose a simple probability model for MAX-2SAT instances for discussing the average-case com-
plexity of the MAX-2SAT problem. Our model is a \planted solution model", where each instance is generated
randomly from a target solution. We show that for a large range of parameters, the planted solution (more precisely,
one of the planted solution pair) is the optimal solution for the generated instance with high probability. We then
give a simple linear time algorithm based on a message passing method, and we prove that it solves the MAX-2SAT
problem with high probability for random MAX-2SAT instances under this planted solution model for probability
parameters within a certain range.
Keyword (in Japanese) (See Japanese page) 
(in English) MAX-2SAT / average-case / planted solution model / / / / /  
Reference Info. IEICE Tech. Rep., vol. 106, no. 63, COMP2006-13, pp. 25-32, May 2006.
Paper # COMP2006-13 
Date of Issue 2006-05-17 (COMP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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Conference Information
Committee COMP  
Conference Date 2006-05-24 - 2006-05-24 
Place (in Japanese) (See Japanese page) 
Place (in English) Kyushu Institute of Technology 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2006-05-COMP 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Average-case Analysis for the MAX-2SAT Problem 
Sub Title (in English)  
Keyword(1) MAX-2SAT  
Keyword(2) average-case  
Keyword(3) planted solution model  
1st Author's Name Osamu Watanabe  
1st Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
2nd Author's Name Masaki Yamamoto  
2nd Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
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Date Time 2006-05-24 13:35:00 
Presentation Time 35 
Registration for COMP 
Paper # IEICE-COMP2006-13 
Volume (vol) IEICE-106 
Number (no) no.63 
Page pp.25-32 
#Pages IEICE-8 
Date of Issue IEICE-COMP-2006-05-17 

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