| Lower bounds for sorting networks |
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Annual ACM Symposium on Theory of Computing
archive
Proceedings of the twenty-seventh annual ACM symposium on Theory of computing
table of contents
Las Vegas, Nevada, United States
Pages: 437 - 446
Year of Publication: 1995
ISBN:0-89791-718-9
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Authors
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Nabil Kahale
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Xerox Palo Alto Research Center, 3333 Coyote Hill Road, Palo Alto, CA and DIMACS
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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 and DIMACS
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C. Greg Plaxton
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Department of Computer Science, University of Texas at Austin, Austin, TX and DIMACS
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Torsten Suel
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NEC Research Institute, 4 Independence Way, Princeton, NJ and DIMACS
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Endre Szemerédi
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Department of Computer Science, Rutgers University, Piscataway, NJ
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| Bibliometrics |
Downloads (6 Weeks): 4, Downloads (12 Months): 25, Citation Count: 2
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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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V. E. Alekseyev. Sorting algorithms with minimum memory. Kibernetika, 5:99-103, 1969.
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N. Alon and J. H. Spencer. The Probabilistic Method. Wiley-Interscience, New York, NY, 1991.
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K. E. Batcher. Sorting networks and their applica-tions. In Proceedings of the AFIPS Spring Joint Com-puter Conference, volume 32, pages 307-314, 1968.
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N. Kahale. Eigenvalues and expansion of regular graphs. Technical Report 93-7oR, DIMACS, Rutgers University, 1993.
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E. A. Lamagna. The complexity of monotone net-works for certain bilinear forms, routing problems, sorting, and merging. IEEE Trans. Comput., 28:773- 782, 1979.
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T. Leighton, Y. Ma, and T. Suel. On probabilistic net-works for selection, merging, and sorting. Manuscript, 1994.
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T. Leighton and C. G. Plaxton. A (fairly) simple cir-cuit that (usually) sorts. In Proceedings of the 31st Annual IEEE Symposium on Foundations of Com-puter 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 Pro-ceedings of the 33rd Annual IEEE Symposium on Foundations of Computer Science, pages 236-246, Oc-tober 1992.
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1. Parbemy. A computer-assisted optimal depth lower bound for nine-input sorting networks. Mathematical Systems Theory, 24:101-116, 1991.
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M. S. Paterson. Improved sorting net works with O(log N) depth. Aigorithmica, 5:75-92, 1990.
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D. C. Van Voorhis. An improved lower bound for sorting networks. IEEE Trans. Comput., 21:612-613, 1972.
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D. C. Van Voorhis. Toward a lower bound for sort-ing networks. In R. E. Miller and J. W. Thatcher, editors, The Complexity of Computer Computations, pages 119-129. Plenum Press, New York, NY, 1972.
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A. C. Yao. Bounds on selection networks. SIAM J. Comput., 9:566-582, 1980.
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CITED BY 2
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Tom Leighton , Yuan Ma , Torsten Suel, On probabilistic networks for selection, merging, and sorting, Proceedings of the seventh annual ACM symposium on Parallel algorithms and architectures, p.106-118, June 24-26, 1995, Santa Barbara, California, United States
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