# A characterization of approximability for biased CSPs

@article{Ghoshal2022ACO, title={A characterization of approximability for biased CSPs}, author={Suprovat Ghoshal and Euiwoong Lee}, journal={Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing}, year={2022} }

A µ-biased Max-CSP instance with predicate ψ:{0,1}r → {0,1} is an instance of Constraint Satisfaction Problem (CSP) where the objective is to find a labeling of relative weight at most µ which satisfies the maximum fraction of constraints. Biased CSPs are versatile and express several well studied problems such as Densest-k-Sub(Hyper)graph and SmallSetExpansion. In this work, we explore the role played by the bias parameter µ on the approximability of biased CSPs. We show that the…

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