The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.
Clique is hard to approximate within n/sup 1-ε/
Abstract
The author proves that unless NP=coR, Max Clique is hard to approximate in polynomial time within a factor n/sup 1-/spl epsiv// for any /spl epsiv/>0. This is done by, for any /spl delta/>0, constructing a proof system for NP which uses /spl delta/ amortized free bits. A central lemma, which might be of independent interest, gives sufficient conditions (in the form of a certain type of agreement) for creating a global function from local functions certain local consistency conditions.
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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
The knowledge complexity of interactive proof systems
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Optimization, approximation, and complexity classes
Papadimitriou, C. H., & Yannakakis, M. (1991) · Journal of Computer and System Sciences · doi:10.1016/0022-0000(91)90023-x · Cited by 1,653
Trading group theory for randomness
Babai, L. (1985) · Proceedings of the seventeenth annual ACM symposium on Theory of computing - STOC '85 · doi:10.1145/22145.22192 · Cited by 772
Proof verification and hardness of approximation problems
Arora, S., Lund, C., Motwani, R., Sudan, M., & Szegedy, M. (1992) · Proceedings., 33rd Annual Symposium on Foundations of Computer Science · doi:10.1109/sfcs.1992.267823 · Cited by 741
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Interactive proofs and the hardness of approximating cliques
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Approximating 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
Cited by
Korte, B., & Vygen, J. (2000) · Algorithms and Combinatorics · doi:10.1007/978-3-662-21708-5_16 · Cited by 579
Computing longest duration flocks in trajectory data
Gudmundsson, J., & van Kreveld, M. (2006) · Proceedings of the 14th annual ACM international symposium on Advances in geographic information systems · doi:10.1145/1183471.1183479 · Cited by 277
Free bits, PCPs and non-approximability-towards tight results
Bellare, M., Goldreich, O., & Sudan, M. (2002) · Proceedings of IEEE 36th Annual Foundations of Computer Science · doi:10.1109/sfcs.1995.492573 · Cited by 265
Costa, P. C. S., Morales, M. E. S., An, D., & Sanders, Y. R. (2025) · Physical Review A · doi:10.1103/hm1z-z9p2
Metadata
- Authors
- Hastad, J.
- Venue
- Proceedings of 37th Conference on Foundations of Computer Science
- Publisher
- IEEE Comput. Soc. Press
- Published
- 2002-12-24
- Pages
- 627-636
- OpenAlex
- W1501644705
- Cited by
- 458
- References
- 22
- FWCI
- 16.26
- Type
- conference paper
- Language
- en
- Open access
- closed
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