The cutwidth lower bound #
This umbrella collects the (4 - ε) n lower bound for circuits over the full
binary basis: rectangle-free functions, the cut-counting lemma for constraint
networks, the wiring graph of a circuit, the derivation of the graph-ordering
bound from the pathwidth hypothesis for cubic graphs, the final assembly, the
transfer to nondeterministic circuits by forgetting witness ports, and the
average-case bound for balanced functions through the direction of the
wiring graph. Start from Algebraic.LowerBound.Cutwidth.FourN; the
average case is Algebraic.LowerBound.Cutwidth.AverageCase.