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• W3081740732 abstract "We study the complexity of #CSPΔ(Γ), which is the problem of counting satisfying assignments to CSP instances with constraints from Γ and whose variables can appear at most Δ times. Our main result shows that: (i) if every function in Γ is affine, then #CSPΔ(Γ) is in FP for all Δ, (ii) otherwise, if every function in Γ is in a class called IM2, then for large Δ, #CSPΔ(Γ) is equivalent under approximation-preserving reductions to the problem of counting independent sets in bipartite graphs, (iii) otherwise, for large Δ, it is NP-hard to approximate #CSPΔ(Γ), even within an exponential factor." @default.
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• W3081740732 date "2021-02-01" @default.
• W3081740732 modified "2023-09-25" @default.
• W3081740732 title "Approximating partition functions of bounded-degree Boolean counting Constraint Satisfaction Problems" @default.
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• W3081740732 doi "https://doi.org/10.1016/j.jcss.2020.08.003" @default.
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