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Some optimal inapproximability results

Published:04 May 1997Publication History
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References

  1. 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.Google ScholarGoogle Scholar
  2. 2.S. ARORA AND S. SAFRA. Probabilistic checking of proofs: a new characterization of NP. 33rd FOCS, 1992 2-13.Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. 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.Google ScholarGoogle ScholarCross RefCross Ref
  4. 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. Google ScholarGoogle ScholarCross RefCross Ref
  5. 5.M. BELLARE, O. GOLDREICH AND M. SUDAN Free Bits, PCPs and Non-Approximability--Towards tight Results. 36th FOCS, 1995, pp 422-431. See also a more complete version available from ECCC. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. 6.M. BELLARE, S. GOLDWASSER, C. LUND AND A. RUS- SELL. Efficient probabilistically checkable proofs and applications to approximation. 25th STOC, 1993, pp 294-304. (See also Errata sheet in STOC94). Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. 7.M. BEN-OR, S. GOLDWASSER, J. KILIAN, AND A. WICDERSON Multi-prover interactive proofs: How to remove intractability assumptions. 20th STOC, 1988, pp 113-131. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. 8.U. FEIGE AND M. GOEMANS Approximating the value of two prover proof systems, with applications to MAX 2SAT and MAX DICUT, 3rd iSTCS, 1995, pp 182-189. Google ScholarGoogle Scholar
  9. 9.U. FEIGE, $. GOLDWASSER, L. LOVASZ, S. SAFRA, AND M. SZEGEDY. Interactive proofs and the hardness of approximating cliques. Journal of the ACM, 1996, Vol 43:2, pp 268-292. Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. 10.M.R. GARF. Y AND D.S. JOHNSSON, Computers and Intractability, W.H. Freeman and Company, 1979.Google ScholarGoogle Scholar
  11. 11.M. GOEMANS ANO D. WILLIAMSON .878-approximation algorithms for Max-Cut and Max-2-SAT, 25th STOC, 1994, pp 422-431. Google ScholarGoogle ScholarDigital LibraryDigital Library
  12. 12.J. H~.STAD Clique is hard to approximate within n1-~ 37th FOCS, 1996, pp 627-636. There is also an updated version with the same name and a simpler proof. Google ScholarGoogle ScholarDigital LibraryDigital Library
  13. 13.D.S. JOHNSSON Approximation algorithms for combinatorial problems, J. Computer and System Sciences, 1974, Vol 9, pp 256-278.Google ScholarGoogle ScholarDigital LibraryDigital Library
  14. 14.C. PAPADIMITRIOU AND M. YANNAKAKIS Optimization, approximation and complexity classes. Journal of Computer and System Sciences, Vol 43, 1991, pp 425- 440.Google ScholarGoogle ScholarCross RefCross Ref
  15. 15.E. PETRANK The hardness of approximation, 2nd ISTCS, 1993, pp 275-284.Google ScholarGoogle Scholar
  16. 16.R. RAZ A parallel repetition theorem, 27th STOC, 1995, pp 447-456. Google ScholarGoogle ScholarDigital LibraryDigital Library
  17. 17.L. TREVISAN, G. $ORKIN, M. SUDAN, AND D. WILLIAMSON Gadgets, approximation and linear programming, 37th FOCS, 1996, pp 617-626. Google ScholarGoogle ScholarDigital LibraryDigital Library
  18. 18.O. VERBITSKY Towards the parallel repetition conjecture, Theoretical Computer Science, Vol 157, 1996, pp 277-282. Google ScholarGoogle ScholarDigital LibraryDigital Library

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              cover image ACM Conferences
              STOC '97: Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
              May 1997
              752 pages
              ISBN:0897918886
              DOI:10.1145/258533

              Copyright © 1997 ACM

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              • Published: 4 May 1997

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              STOC '97 Paper Acceptance Rate75of211submissions,36%Overall Acceptance Rate1,469of4,586submissions,32%

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