Abstract

We study the expected relative error of a linear relaxation of the max-cut problem in the random graph Gn,p. We prove that this error tends to 13 as n → ∞ of the edge probability p = p(n) is at least Ω(√logn/n), and tends to 1 if pn → ∞ and pn1−a → 0 for all a > 0.

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