| On probabilistic networks for selection, merging, and sorting |
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ACM Symposium on Parallel Algorithms and Architectures
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Proceedings of the seventh annual ACM symposium on Parallel algorithms and architectures
table of contents
Santa Barbara, California, United States
Pages: 106 - 118
Year of Publication: 1995
ISBN:0-89791-717-0
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Authors
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Tom Leighton
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Department of Mathematics and Laboratory for Computer Science, MIT, Cambridge, MA
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Yuan Ma
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Department of Computer Science, Stanford University, Stanford, CA
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Torsten Suel
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NEC Research Institute, 4 Independence Way, Princeton, NJ
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Downloads (6 Weeks): 1, Downloads (12 Months): 16, Citation Count: 1
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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.
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M. Ajtai, J. Koml6s, M. S. Paterson, and E. Szemer#di, k-sorting. In preparation.
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M. Ajtai, J. Komlds, and E. Szemer#di. Halvers and expanders. In Proceedings of the 33rd Annual IEEE Symposium on Foundations of Computer Science, pages 686-689, October 1992.
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V. E. Alekseyev. Sorting algorithms with minimum memory. Kibernetika, 5:99-103, 1969.
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N. Alon and J. H. Spencer. The Probabihst#c Method. Wiley-Interscience, New York, NY, 1991.
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K. E. Batcher. Sorting networks and their apphcations. In Proceedings of the A FIPS Spring Joint Computer Conference, volume 32, pages 307-314, 1968.
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N. Kahale. Eigenvalues and expansion of regular graphs. Technical Report 93-70R, DIMACS, Rutgers University, 1993.
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Nabil Kahale , Tom Leighton , Yuan Ma , C. Greg Plaxton , Torsten Suel , Endre Szemerédi, Lower bounds for sorting networks, Proceedings of the twenty-seventh annual ACM symposium on Theory of computing, p.437-446, May 29-June 01, 1995, Las Vegas, Nevada, United States
[doi> 10.1145/225058.225178]
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E. A. Lamagna The complexity of monotone networks for certain bilinear forms, routing problems, sorting, and merging. IEEE Trans. Comput., 28:773- 782, 1979.
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T. Leighton and C. G. Plaxton. A (fairly) simple circuit that (usually) sorts, in Proceedings of the 31st Annual IEEE Symposzum on Foundatwns of Computer Science, pages 458-469, October 1990.
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P. B. Miltersen, M. S. Paterson, and J. Tarui. The asymptotic complexity of merging networks. In Proceedings of the 33rd Annual IEEE Symposzum on Foundations of Computer Sczence, pages 236-246, October 1992.
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C. Riib. On the average running time of odd-even merge sort. In Proceedings of the 12th Symposium on Theoretzcal Aspects of Computer Sczence, Sponger LNCS 900, pages 491-502, February 1995.
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R. Seclsewick Data movement in odd-even merging. SIAM J. Comput., 7:239-272, 1978.
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A. C. Yao. Bounds on selection networks. SIAM J. Comput.# 9:566-582, 1980.
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