theoretical-computer-science / Approximation algorithms

Avidor-Zwick Question on Low-Dimensional Max-Cut SDP

For fixed $d$, can every $d$-dimensional feasible solution of the triangle-strengthened Max-Cut SDP be rounded in polynomial time with ratio strictly larger than $\alpha_{GW}$? A rounding achieving $\alpha_{GW} + 2^{-O(d)}$ answers yes.

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theoretical-computer-scienceApr 16, 2026Significance 10/100Registry: unreviewed

Avidor-Zwick Question on Low-Dimensional Max-Cut SDP

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For fixed $d$, can every $d$-dimensional feasible solution of the triangle-strengthened Max-Cut SDP be rounded in polynomial time with ratio strictly larger than $\alpha_{GW}$? A rounding achieving $\alpha_{GW} + 2^{-O(d)}$ answers yes.

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For fixed $d$, can every $d$-dimensional feasible solution of the triangle-strengthened Max-Cut SDP be rounded in polynomial time with ratio strictly larger than $\alpha_{GW}$? A rounding achieving $\alpha_{GW} + 2^{-O(d)}$ answers yes.

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