The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Optimization, approximation, and complexity classes
Open accessAbstract
We define a natural variant of NP, MAX NP, and also a subclass called MAX SNP. These are classes of optimization problems, and in fact contain several natural, well-studied ones. We show that problems in these classes can be approximated with some bounded error. Furthermore, we show that a number of common optimization problems are complete under a kind of careful transformation (called L-reduction) that preserves approximability. It follows that such a complete problem has a polynomial-time approximation scheme iff the whole class does. These results may help explain the lack of progress on the approximability of a host of optimization problems.
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Cites
The complexity of theorem-proving procedures
Cook, S. A. (1971) · Proceedings of the third annual ACM symposium on Theory of computing - STOC '71 · doi:10.1145/800157.805047 · Cited by 6,385
Cited by
On the hardness of approximating minimization problems
Lund, C., & Yannakakis, M. (1994) · Journal of the ACM · doi:10.1145/185675.306789 · Cited by 872
Self-citationApproximating clique is almost NP-complete
Feige, U., Goldwasser, S., Lovasz, L., Safra, S., & Szegedy, M. (2002) · [1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science · doi:10.1109/sfcs.1991.185341 · Cited by 396
Metadata
- Authors
- Papadimitriou, C., & Yannakakis, M.
- Venue
- Proceedings of the twentieth annual ACM symposium on Theory of computing - STOC '88
- Publisher
- ACM Press
- Published
- 1988
- Pages
- 229-234
- OpenAlex
- W2040579873
- Cited by
- 208
- References
- 1
- FWCI
- 6.37
- Type
- conference paper
- Language
- en
- Open access
- gold
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- Papadimitriou, C., & Yannakakis, M. (1988). Optimization, approximation, and complexity classes. Proceedings of the twentieth annual ACM symposium on Theory of computing - STOC '88. https://doi.org/10.1145/62212.62233
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