4.2 Article

The complexity of weighted and unweighted #CSP

Journal

JOURNAL OF COMPUTER AND SYSTEM SCIENCES
Volume 78, Issue 2, Pages 681-688

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcss.2011.12.002

Keywords

Counting; Constraint satisfaction; Complexity theory

Funding

  1. EPSRC
  2. NSERC
  3. EPSRC [EP/I011935/1, EP/I012087/1, EP/E062482/1] Funding Source: UKRI
  4. Engineering and Physical Sciences Research Council [EP/I012087/1, EP/I011935/1, EP/E062482/1] Funding Source: researchfish

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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 the recent dichotomy for unweighted #CSP can be extended to rational-weighted #CSP. (C) 2011 Elsevier Inc. All rights reserved.

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