The complexity of weighted and unweighted #CSP

Andrei Bulatov; Martin Dyer; Leslie Ann Goldberg; Markus Jalsenius; Mark Jerrum; David Richerby

doi:10.1016/j.jcss.2011.12.002

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arXiv · 1005.2678

The complexity of weighted and unweighted #CSP

Andrei Bulatov·Martin Dyer·Leslie Ann Goldberg·Markus Jalsenius·Mark Jerrum·David Richerby

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Abstract

We give some reductions among problems in (nonnegative) weighted #CSP which restrict the class of functions that needs to be considered in computational complexity studies. Our reductions can be applied to both exact and approximate computation. In particular, we show that a recent dichotomy for unweighted #CSP can be extended to rational-weighted #CSP.

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Andrei Bulatov, Martin Dyer, Leslie Ann Goldberg, Markus Jalsenius, Mark Jerrum, David Richerby. 2010-05-15. The complexity of weighted and unweighted #CSP. https://doi.org/10.1016/j.jcss.2011.12.002

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