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** '''Byzantine agreement.''' Rabin. Randomized Byzantine generals. In ''Proceedings of the 24th Annual Symposium on Foundations of Computer Science,'' page 403-409, 1983. (Also, see Chor and Dwork. Randomization in Byzantine agreement. In ''Randomness and Computing'' pages 433-497. JAI Press, 1989) | ** '''Byzantine agreement.''' Rabin. Randomized Byzantine generals. In ''Proceedings of the 24th Annual Symposium on Foundations of Computer Science,'' page 403-409, 1983. (Also, see Chor and Dwork. Randomization in Byzantine agreement. In ''Randomness and Computing'' pages 433-497. JAI Press, 1989) | ||
** '''Isolating Lemma.''' Mulmuley, Vazirani, and Vazirani. Matching is as Easy as Matrix Inversion. in ''Proceedings of Symposium on the Theory of Computing,'' 1987. ''Combinatorica,'' Vol. 7, No. 1, 1987. [http://www.cs.berkeley.edu/~vazirani/pubs/matching.pdf] | ** '''Isolating Lemma.''' Mulmuley, Vazirani, and Vazirani. Matching is as Easy as Matrix Inversion. in ''Proceedings of Symposium on the Theory of Computing,'' 1987. ''Combinatorica,'' Vol. 7, No. 1, 1987. [http://www.cs.berkeley.edu/~vazirani/pubs/matching.pdf] | ||
| + | ** '''Primality testing.''' | ||
** '''Lovasz Local Lemma.''' | ** '''Lovasz Local Lemma.''' | ||
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Other possible topics: | Other possible topics: | ||
รุ่นแก้ไขเมื่อ 11:14, 15 พฤศจิกายน 2550
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Reading groups
- Randomized Algorithms. Focus on classic results. Some of the papers and references below are from Motwani and Raghavan.
- Routing. Valiant. A scheme for fast parallel communication. SIAM Journal on Computing, 11:350-361, 1982. (Should be available at AIT Library)
- Paging. Fiat, Karp, Luby, McGeoch, Sleator, and Young. Competitive paging algorithms. Journal of Algorithms, 12:685-699, 1991.
- Byzantine agreement. Rabin. Randomized Byzantine generals. In Proceedings of the 24th Annual Symposium on Foundations of Computer Science, page 403-409, 1983. (Also, see Chor and Dwork. Randomization in Byzantine agreement. In Randomness and Computing pages 433-497. JAI Press, 1989)
- Isolating Lemma. Mulmuley, Vazirani, and Vazirani. Matching is as Easy as Matrix Inversion. in Proceedings of Symposium on the Theory of Computing, 1987. Combinatorica, Vol. 7, No. 1, 1987. [1]
- Primality testing.
- Lovasz Local Lemma.
Other possible topics:
