Abstract
An approach to solving the sorting problem is proposed based on minimizing a parameter related to real time calculation. In [2], the author used this approach to solve the problem of finding the largest number of a given array. A logical circuit over basis {&,V,–} is constructed which arranges m given numbers in descending order. The circuit depth does not exceed log2 n + 6,12log2 m asymptotically, where n is the length of binary representation of each of the given numbers.
This research was partially supported by the Russian Foundation for Fundamental Research (Grant 93–01–16009).
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© 1996 Kluwer Academic Publishers
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Kospanov, È.S. (1996). Circuit Realization of the Sorting Problem. In: Korshunov, A.D. (eds) Discrete Analysis and Operations Research. Mathematics and Its Applications, vol 355. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1606-7_8
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DOI: https://doi.org/10.1007/978-94-009-1606-7_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7217-5
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