English

Bounds on monotone switching networks for directed connectivity

Computational Complexity 2016-12-01 v7

Abstract

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

Cite

@article{arxiv.0911.0664,
  title  = {Bounds on monotone switching networks for directed connectivity},
  author = {Aaron Potechin},
  journal= {arXiv preprint arXiv:0911.0664},
  year   = {2016}
}

Comments

49 pages, 12 figures

R2 v1 2026-06-21T14:07:10.623Z