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The complexity of weighted and unweighted #CSP

Published 15 May 2010 in cs.CC | (1005.2678v2)

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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