Abstract
In this paper we present a 0.80-approximation algorithm for MAX 3-SAT. Previously 0.75- or 0.755-approximation algorithms were known for MAX SAT. Thus, we make slight improvement by limiting MAX SAT to MAX 3-SAT. Since approximating MAX 3-SAT within 112/113 is NP-complete, our result means that the best approximation ratio is between 0.80 and 112/113.
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M. Bellare, S. Goldwasser, C. Lund, and A. Russell. Efficient probabilistically checkable proofs and applications to approximation. In Proc. 25th STOC, pages 294–304, 1993.
Michel X. Goemans and David P. Williamson. 878-approximation algorithms for MAX CUT and MAX 2SAT. In Proc. 26th STOC, pages 422–431, 1994.
Michel X. Goemans and David P. Williamson. New 3/4-approximation algorithms for the maximum satisfiability problem. SIAM Journal of Disc. Math., 7(4):656–666, November 1994.
David S. Johnson. Approximation Algorithms for Combinatorial Problems. Journal of Comput. and Sys. Sci., 9:256–278, 1974.
Christos H. Papadimitriou and Mihalis Yannakakis. Optimization, approximation, and complexity classes. In Proc. 20th STOC, pages 229–234, 1988.
Pravin M. Vaidya. A new algorithm for minimizing convex function over convex sets. In Proc. 30th FOCS, pages 338–343, 1989.
Mihalis Yannakakis. On the approximation of maximum satisfiability. In Proc. 3rd SODA, pages 1–9, 1992.
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© 1995 Springer-Verlag Berlin Heidelberg
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Ono, T., Hirata, T., Asano, T. (1995). An approximation algorithm for MAX 3-SAT. In: Staples, J., Eades, P., Katoh, N., Moffat, A. (eds) Algorithms and Computations. ISAAC 1995. Lecture Notes in Computer Science, vol 1004. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0015420
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DOI: https://doi.org/10.1007/BFb0015420
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Print ISBN: 978-3-540-60573-7
Online ISBN: 978-3-540-47766-2
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