Preprint
Oct 2026
Optimal Algorithms and Hardness for Max-Cut in Bounded Degree Graphs
This work gives a polynomial-time algorithm that achieves an $\alpha_{GW} + \tilde{\Omega}(1/d)$-approximation for Max 2-LIN(2) in weighted instances where each vertex appears in at most $d$ constraints and shows a matching Unique Games hardness under randomized polynomial-time reductions.
Rares-Darius Buhai, Suprovat Ghoshal, Neng Huang et al.
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