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On the complexity of planar Boolean circuits

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Abstract

We consider planar circuits, formulas and multilective planar circuits. It is shown that planar circuits and formulas are incomparable. An Ω(n logn) lower bound is given for the multilective planar circuit complexity of a decision problem and an Ω(n 3/2) lower bound is given for the multilective planar circuit complexity of a multiple output function.

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  1. György Turán

    Present address: Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 60607-7045, Chicago, IL, USA

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  1. Automata Theory Research Group of the Hungarian Academy of Sciences, 6720, Szeged, Hungary

    György Turán

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  1. György Turán
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Turán, G. On the complexity of planar Boolean circuits. Comput Complexity 5, 24–42 (1995). https://doi.org/10.1007/BF01277954

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  • DOI: https://doi.org/10.1007/BF01277954

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