Bounds on monotone switching networks for directed connectivity

Aaron Potechin

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arXiv · 0911.0664

Bounds on monotone switching networks for directed connectivity

Aaron Potechin

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Abstract

We separate monotone analogues of L and NL by proving that any monotone switching network solving directed connectivity on $n$ vertices must have size at least $n^(\Omega(\lg(n)))$.

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Aaron Potechin. 2009-11-03. Bounds on monotone switching networks for directed connectivity. https://arxiv.org/abs/0911.0664

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