Some optimal inapproximability results

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Some optimal inapproximability results

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Annual ACM Symposium on Theory of Computing archive
Proceedings of the twenty-ninth annual ACM symposium on Theory of computing table of contents

El Paso, Texas, United States

Pages: 1 - 10

Year of Publication: 1997

ISBN:0-89791-888-6

Author

Johan Håstad

Royal Institute of Technology, Sweden

Sponsor

SIGACT: ACM Special Interest Group on Algorithms and Computation Theory

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 5, Downloads (12 Months): 37, Citation Count: 76

Additional Information:

references cited by index terms collaborative colleagues

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	S. ARORA, C. LUND, R. MOTWAN{, M. SUDAN AND M. SZEGEDY. Proof verification and intractability of approximation problems. 33rd FOCS, 1992, pp 14-23.
	2	S. ARORA AND S. SAFRA. Probabilistic checking of proofs: a new characterization of NP. 33rd FOCS, 1992 2-13.
	3	R. B AR-YEHUDA AND S. EVEN A linear time approximation algorithm for the weighted vertex cover algorithm, Journal of Algorithms, 1991, Vol 2, pp 198-210.
	4	M. BELLARE, D. COPPERSMITH, J. HASTAD, M. KIWI, AND M. SUDAN, Linearity testing in characteristic two, IEEE Transactions on Information, Vol 42, No 6, November 1996, pp 1781-1796.
	5	M. Bellare , O. Goldreich , M. Sudan, Free bits, PCPs and non-approximability-towards tight results, Proceedings of the 36th Annual Symposium on Foundations of Computer Science (FOCS'95), p.422, October 23-25, 1995
	6	M. Bellare , S. Goldwasser , C. Lund , A. Russeli, Efficient probabilistically checkable proofs and applications to approximations, Proceedings of the twenty-fifth annual ACM symposium on Theory of computing, p.294-304, May 16-18, 1993, San Diego, California, United States [doi>10.1145/167088.167174]
	7	Michael Ben-Or , Shafi Goldwasser , Joe Kilian , Avi Widgerson, Multi-prover interactive proofs: how to remove intractability assumptions, Proceedings of the twentieth annual ACM symposium on Theory of computing, p.113-131, May 02-04, 1988, Chicago, Illinois, United States [doi>10.1145/62212.62223]
	8	Approximating the value of two power proof systems, with applications to MAX 2SAT and MAX DICUT, Proceedings of the 3rd Israel Symposium on the Theory of Computing Systems (ISTCS'95), p.182, January 04-06, 1995
	9	Uriel Feige , Shafi Goldwasser , Laszlo Lovász , Shmuel Safra , Mario Szegedy, Interactive proofs and the hardness of approximating cliques, Journal of the ACM (JACM), v.43 n.2, p.268-292, March 1996 [doi>10.1145/226643.226652]
	10	M.R. GARF. Y AND D.S. JOHNSSON, Computers and Intractability, W.H. Freeman and Company, 1979.
	11	Michel X. Goemans , David P. Williamson, .879-approximation algorithms for MAX CUT and MAX 2SAT, Proceedings of the twenty-sixth annual ACM symposium on Theory of computing, p.422-431, May 23-25, 1994, Montreal, Quebec, Canada [doi>10.1145/195058.195216]
	12	J. Hastad, Clique is hard to approximate within n1-, Proceedings of the 37th Annual Symposium on Foundations of Computer Science, p.627, October 14-16, 1996
	13	D.S. JOHNSSON Approximation algorithms for combinatorial problems, J. Computer and System Sciences, 1974, Vol 9, pp 256-278.
	14	C. PAPADIMITRIOU AND M. YANNAKAKIS Optimization, approximation and complexity classes. Journal of Computer and System Sciences, Vol 43, 1991, pp 425- 440.
	15	E. PETRANK The hardness of approximation, 2nd ISTCS, 1993, pp 275-284.
	16	Ran Raz, A parallel repetition theorem, Proceedings of the twenty-seventh annual ACM symposium on Theory of computing, p.447-456, May 29-June 01, 1995, Las Vegas, Nevada, United States [doi>10.1145/225058.225181]
	17	L. Trevisan , G. B. Sorkin , M. Sudan , D. P. Williamson, Gadgets Approximation, and Linear Programming, Proceedings of the 37th Annual Symposium on Foundations of Computer Science, p.617, October 14-16, 1996
	18	Oleg Verbitsky, Towards the parallel repetition conjecture, Theoretical Computer Science, v.157 n.2, p.277-282, May 5, 1996 [doi>10.1016/0304-3975(95)00165-4]

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	Gunnar Andersson , Lars Engebretsen , Johan Håstad, A new way to use semidefinite programming with applications to linear equations mod p, Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms, p.41-50, January 17-19, 1999, Baltimore, Maryland, United States
	Eran Halperin , Dror Livnat , Uri Zwick, MAX CUT in cubic graphs, Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms, p.506-513, January 06-08, 2002, San Francisco, California
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