Presentation 2000/7/18
COMP2000-27 On the maximum satisfiability of random 3CNF formulae
Mitsuo Motoki,
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Abstract(in English) For Maximum 3-Satisfiability Problem (MAX-3SAT), we discuss about the expected number of unsatisfiable clauses on optimal assignment. We proved two lower bounds theoretically. One is Ω(m / 1nm) for m>___-5.19n and the other is m / 8-O(√) for m>___-9.7n where n is the number of variables and m is the number caluses. We also compare these theoretical lower bounds with experimental results.
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Keyword(in English) MAX-SAT / optimization problem / probabilistic analysis / average of optimal solution
Paper # COMP2000-27
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Committee COMP
Conference Date 2000/7/18(1days)
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Registration To Theoretical Foundations of Computing (COMP)
Language ENG
Title (in Japanese) (See Japanese page)
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Title (in English) COMP2000-27 On the maximum satisfiability of random 3CNF formulae
Sub Title (in English)
Keyword(1) MAX-SAT
Keyword(2) optimization problem
Keyword(3) probabilistic analysis
Keyword(4) average of optimal solution
1st Author's Name Mitsuo Motoki
1st Author's Affiliation Dept. of Mathematical and Computing Sciences Tokyo Institute of Technology()
Date 2000/7/18
Paper # COMP2000-27
Volume (vol) vol.100
Number (no) 216
Page pp.pp.-
#Pages 8
Date of Issue