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Constant Width Planar Computation Characterizes ACC0

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Abstract

We obtain a characterization of ACC0 in terms of a natural class of constant width circuits, namely in terms of constant width polynomial size planar circuits. This is shown via a characterization of the class of acyclic digraphs which can be embedded on a cylinder surface in such a way that all arcs flow along the same direction of the axis of the cylinder.

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  1. Department of Computer Science, University of Aarhus, IT-parken, Aabogade 34, DK-8200 Aarhus N, Denmark

    Kristoffer Arnsfelt Hansen

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  1. Kristoffer Arnsfelt Hansen
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Correspondence to Kristoffer Arnsfelt Hansen.

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Hansen, K. Constant Width Planar Computation Characterizes ACC0 . Theory Comput Syst 39, 79–92 (2006). https://doi.org/10.1007/s00224-005-1258-7

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  • DOI: https://doi.org/10.1007/s00224-005-1258-7

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