Abstract
We prove nearly optimal lower and upper bounds on the AT2 complexity of the problem of selecting the l-th smallest from a set of integers. Our VLSI model satisfies the property that I/O ports Lie on the border of the circuit.
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4. References
Bilardi, G., Preparata, F.P.: Area-time Lower bound technique with application to sorting. Algorithmica,1, 1986,1, 65–91.
Bilardi,G.,Preparata,F.P.: The influence of key length on the area-time complexity of sorting. In: Proc. 12-th ICALP, 1985.
Cole,R.,Siegel,A.R.: On information flow and sorting. In: Proc. 26-th FOCS, Portland 1985, 208–221.
Ďuriš, P.,Sýkora, O.,Thompson, C.D.,Vrťo, I.: Tight chip area bounds for sorting. Computers and Artificial Intelligence, 4, 1985, 6, 535–544.
Ďuriš,P.,Sýkora,O., Thompson,C.D.,Vrťo,I.: A minimum area for l-selection. To appear in Algorithmica 1987.
Leighton,F.T.: Tight bounds on the complexity of parallel sorting. In: Proc. 16-th STOC, Washington 1984, 71–80.
Lipton,R.J.,Sedgewick,R.: Lower bounds for VLSI. In: Proc. 13-th STOC, Milwaukee 1981, 300–306.
Siegel, A.R.: Tight area bounds and provably good AT2 bounds for sorting circuits. Tech. Rep., Comp.Sci.Dept., New York University, New York 1984.
Siegel,A.R.: Aspects of information flow in VLSI circuits. In:Proc. 18-th STOC, 1986, 448–459.
Thompson,C.D.: Area-time complexity for VLSI. In: Proc. 11-th STOC, 1979, 81–88.
Thompson,C.D.,Yasuura,H.: On the area-time optimal design of l-selectors. In: Proc. Asilomar Conf. on Circuits, Systems and Computers, 1985.
Ullman,J.D.: Computational Aspects of VLSI. Rockville, Computer Science Press 1984.
Vrťo, I.: Optimal VLSI algorithm for finding the maximum element of a set. In: Proc. PARCELLA "84, Berlin, Academie Verlag 1985,232–238.
Vrťo,I.: The area-time complexity of the VLSI counter. Submitted to IPL.
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© 1987 Springer-Verlag Berlin Heidelberg
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Vrťo, I. (1987). Area-time tradeoffs for selection. In: Albrecht, A., Jung, H., Mehlhorn, K. (eds) Parallel Algorithms and Architectures. Lecture Notes in Computer Science, vol 269. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-18099-0_42
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DOI: https://doi.org/10.1007/3-540-18099-0_42
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