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Complexitylib.Algebraic.LowerBound.Cutwidth.PathDecomposition.Bisection.Defs

The cubic bisection bound #

This records the conclusion of Monien and Preis's bisection theorem. Bisection.Helpful proves the sharp theorem for every positive slack.

The cubic bisection bound with slack ξ and threshold N₀: each simple 3-regular graph on n > N₀ vertices has a cut into sides differing in size by at most one, with at most (1/6 + ξ) n crossing edges.

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