MaxSAT, Max2SAT, and QUBO are mutually reducible in linear time with treewidth preserved up to small constants, giving ETH- and SETH-tight bounds and a 2^treewidth algorithm for QUBO.
Reducing SAT to Max2SAT
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Strong Structural Bounds for MaxSAT: The Fine Details of Using Neuromorphic and Quantum Hardware Accelerators
MaxSAT, Max2SAT, and QUBO are mutually reducible in linear time with treewidth preserved up to small constants, giving ETH- and SETH-tight bounds and a 2^treewidth algorithm for QUBO.