Improved Algorithms for Sparse MAX-SAT and MAX-k-CSP

作者: Ruiwen Chen , Rahul Santhanam

DOI: 10.1007/978-3-319-24318-4_4

关键词: PSPACEMaximum satisfiability problemAlgorithmOmegaExponential spacePhysicsSparse approximation

摘要: We give improved deterministic algorithms solving sparse instances of MAX-SAT and MAX-k-CSP. For with n variables cn clauses (constraints), we running in time \({{\mathrm{poly}}}(n)\cdot 2^{n(1-\mu )}\) for \(\mu = \Omega (\frac{1}{c} )\) polynomial space MAX-k-SAT, \(\mu (\frac{1}{\sqrt{c}} exponential (\frac{1}{ck^2} MAX-k-CSP, \(\mu (\frac{1}{\sqrt{ck^3}}

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