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Annual Symposium on Theoretical Aspects of Computer Science

STACS 1985: STACS 85 pp 231–242Cite as

Planar circuits have short specifications

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 182))

Abstract

A counting argument is used to establish a lower bound of Ω(2n) on the planar circuit size of almost all n-argument Boolean functions. The counting argument exploits the fact that planar circuits can be more concisely specified than general circuits.

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Author information

Authors and Affiliations

  1. Department of Computer Science, University of Warwick, CV4 7AL, Coventry, England

    W. F. McColl

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  1. W. F. McColl
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K. Mehlhorn

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© 1984 Springer-Verlag Berlin Heidelberg

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McColl, W.F. (1984). Planar circuits have short specifications. In: Mehlhorn, K. (eds) STACS 85. STACS 1985. Lecture Notes in Computer Science, vol 182. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0024012

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  • DOI: https://doi.org/10.1007/BFb0024012

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13912-6

  • Online ISBN: 978-3-540-39136-4

  • eBook Packages: Springer Book Archive

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