| S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedy. Proof verification and intractability of approximation problems. In Proceedings of the 33rd IEEE Symposium on Foundations of Computer Science, pages 14--23, 1992. Pittsburgh, PA. |
....into trying to combat intractability. As per Garey and Johnson [GJ79] polynomial time approximation schemes (PTAS s) are one of the main traditional methods. Many ingenious polynomial time approximation schemes have been invented for this reason. Often the wonderful PCP theorem of Arora et al. [ALMSS92] shows that no such approximation exists. But sometimes they do. Let s look at some recent examples, taken from some recent major conferences such as STOC, FOCS and SODA, etc. Arora [Ar96] gave a O(n 3000 ) PTAS for EUCLIDEAN TSP Chekuri and Khanna [CK00] gave a O(n 12(log(1= ....
S. Arora, C. Lund, R. Motwani, M. Sudan and M. Szegedy, "Proof Verification and Intractability of Approximation Algorithms," Proceedings of the IEEE (1992).
....schemes were found for NP complete problems such as Bin Packing and Knapsack. The program has attracted an enormous amount of effort. However, apart from a few similar results on problems mostly of this same general flavor, it now seems to be clear, on the basis of powerful new proof techniques [ALMSS92], that these results are not typical for NP hard and otherwise intractable problems. The vast majority of natural NP hard optimization problems do not admit efficient approximation schemes under the usual assumptions (such as P 6= NP ) While approximation allows for the clever deployment of ....
S. Arora, C. Lund, R. Motwani, M. Sudan and M. Szegedy, "Proof Verification and Intractability of Approximation Algorithms," Proceedings of the IEEE Symposium on the Foundations of Computer Science, 13--22, 1992.
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S. Arora, C. Lund, R. Motwani, M. Sudan and M. Szegedy. Proof verification and intractability of approximation problems. Proceedings of the Thirty Third Annual Symposium on the Foundations of Computer Science, IEEE, 1992.
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S. Arora, C. Lund, R. Motwani, M. Sudan and M. Szegedy. Proof Verification and Intractability of Approximation Problems. JACM, Vol. 45, pages 501--555, 1998.
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S. Arora, C. Lund, R. Motwani, M. Sudan and M. Szegedy. Proof Verification and Intractability of Approximation Problems. JACM, Vol. 45, pages 501--555, 1998.
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S. Arora, C. Lund, R. Motwani, M. Sudan and M. Szegedy. Proof verification and intractability of approximation problems. Proceedings of the Thirty Third Annual Symposium on the Foundations of Computer Science, IEEE, 1992.
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S. Arora, C. Lund, R. Motwani, M. Sudan and M. Szegedy. Proof Verification and Intractability of Approximation Problems. JACM, Vol. 45, pages 501--555, 1998.
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S. ARORA, C. LUND, R. MOTWANI, M. SUDAN AND M. SZEGEDY. Proof verification and intractability of approximation problems. FOCS 1992. In a typical application, r = O(logn) and one sets k to be a large multiple of r. The FGLSS-graph corresponding to the resulting pcp system will have
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S. Arora, C. Lund, R. Motwani, M. Sudan and M. Szegedy. Proof verification and intractability of approximation problems. Proceedings of the Thirty Third Annual Symposium on the Foundations of Computer Science, IEEE, 1992.
No context found.
S. Arora, C. Lund, R. Motwani, M. Sudan and M. Szegedy. Proof Verification and Intractability of Approximation Problems. JACM, Vol. 45, pages 501--555, 1998.
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S. Arora, C. Lund, R. Motwani, M. Sudan and M. Szegedy. Proof verification and intractability of approximation problems. Proceedings of the Thirty Third Annual Symposium on the Foundations of Computer Science, IEEE, 1992.
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S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedy. Proof verification and intractability of approximation problems. In Proceedings of the 33rd IEEE Symposium on Foundations of Computer Science, pages 14--23, 1992. Pittsburgh, PA.
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S. Arora, C. Lund, R. Motwani, M. Sudan and M. Szegedy, Proof verification and intractability of approximation problems, Proceedings of 33rd IEEE Symposium on Foundations of Computer Science (1992), 210--214.
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S. Arora, C. Lund, R. Motwani, M. Sudan and M. Szegedy, Proof verification and intractability of approximation problems, Proceedings of 33rd IEEE Symposium on Foundations of Computer Science (1992), 210--214.
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S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedy. Proof verification and intractability of approximation problems. In Proc. 33rd IEEE Symp. on Foundations of Computer Science, pages 13--22, 1992.
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S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedy. Proof verification and intractability of approximation problems. In Proc. 33rd IEEE Annual Symposium on Foundations of Computer Science, pp 13-22, 1992.
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S. Arora, C. Lund, R. Motwani, M. Sudan and M. Szegedy, Proof verification and intractability of approximation problems, Proc. 33 rd IEEE Symposium on Foundations of Computer Science, (1992), pp 13-22.
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S. Arora, C. Lund, R. Motwani, M. Sudan and M. Szegedy, Proof verification and intractability of approximation problems. In Proc. of 33rd FOCS, 13-22, 1992.
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S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedi. Proof verification and intractability of approximations problems. In Proceedings of the 33rd IEEE Symposium on Foundations of Computer Science, IEEE Computer Science Press, Los Alamitos, CA, pp 14--23, 1992.
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S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedy. Proof verification and intractability of approximation problems. J. ACM, 45(3):501--555, 1998.
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S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedy. Proof verification and intractability of approximation problems. In Proc. 33rd IEEE Symp. on Foundations of Computer Science, pages 13--22, 1992.
No context found.
S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedy. Proof verification and intractability of approximation problems. In Proceedings of the 33rd IEEE Symposium on Foundations of Computer Science, pages 13--22, 1992.
No context found.
S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedi. Proof verification and intractability of approximations problems. In Proceedings of the 33rd IEEE Symposium on Foundations of Computer Science, IEEE Computer Science Press, Los Alamitos, CA, pp 14--23, 1992.
No context found.
S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedy. Proof verification and intractability of approximation problems. In Proc. 33rd IEEE Symp. on Foundations of Computer Science, pages 13--22, 1992.
No context found.
S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedy. Proof verification and intractability of approximation problems. In Proc. 33rd IEEE Symp. on Foundations of Computer Science, pages 13--22, 1992.
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