Abstract
We present differential approximation results (both positive and negative) for optimal satisfiability, optimal constraint satisfaction, and some of the most popular restrictive versions of them. As an important corollary, we exhibit an interesting structural difference between the landscapes of approximability classes in standard and differential paradigms.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ausiello, G., Crescenzi, P., Gambosi, G., Kann, V., Marchetti-Spaccamela, A., Protasi, M.: Complexity and approximation. Combinatorial optimization problems and their approximability properties. Springer, Berlin (1999)
Vazirani, V.: Approximation algorithms. Springer, Berlin (2001)
Papadimitriou, C.H., Yannakakis, M.: Optimization, approximation and complexity classes. J. Comput. System Sci. 43, 425–440 (1991)
Crescenzi, P., Kann, V., Silvestri, R., Trevisan, L.: Structure in approximation classes. SIAM J. Comput. 28, 1759–1782 (1999)
Hooker, J.N.: Resolution vs. cutting plane solution of inference problems: some computational experience. Oper. Res. Lett. 7, 1–7 (1988)
Kamath, A.P., Karmarkar, N.K., Ramakrishnan, K.G., Resende, M.G.: Computational experience with an interior point algorithm on the satisfiability problem. Ann. Oper. Res. 25, 43–58 (1990)
Bazgan, C., Paschos, V.T.: Differential approximation for optimal satisfiability and related problems. European J. Oper. Res. 147, 397–404 (2003)
Monnot, J., Paschos, V.T., Toulouse, S.: Approximation polynomiale des problèmes NP-difficiles: optima locaux et rapport différentiel. Hermès, Paris (2003)
Escoffier, B., Paschos, V.T.: Differential approximation of MIN SAT, MAX SAT and related problems. In: Cahier du LAMSADE 220, LAMSADE, Université Paris-Dauphine (2004)
Håstad, J.: Some optimal inapproximability results. J. Assoc. Comput. Mach. 48, 798–859 (2001)
Bertsimas, D., Teo, C.P., Vohra, R.: On dependent randomized rounding algorithms. In: Cunningham, W.H., Queyranne, M., McCormick, S.T. (eds.) IPCO 1996. LNCS, vol. 1084, pp. 330–344. Springer, Heidelberg (1996)
Garey, M.R., Johnson, D.S.: Computers and intractability. A guide to the theory of NP-completeness. W. H. Freeman, San Francisco (1979)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Escoffier, B., Paschos, V.T. (2005). Differential Approximation of min sat, max sat and Related Problems. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2005. ICCSA 2005. Lecture Notes in Computer Science, vol 3483. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11424925_22
Download citation
DOI: https://doi.org/10.1007/11424925_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25863-6
Online ISBN: 978-3-540-32309-9
eBook Packages: Computer ScienceComputer Science (R0)