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Binarisation for valued constraint satisfaction problems

Abstract:
We study methods for transforming valued constraint satisfaction problems (VCSPs) to binary VCSPs. First, we show that the standard dual encoding preserves many aspects of the algebraic properties that capture the computational complexity of VCSPs. Second, we extend the reduction of CSPs to binary CSPs described by Bul´ın et al. [LMCS’15] to VCSPs. This reduction establishes that VCSPs over a fixed valued constraint language are polynomial-time equivalent to Minimum-Cost Homomorphism Problems over a fixed digraph.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1137/16M1088107

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author



Publisher:
Society for Industrial and Applied Mathematics
Journal:
SIAM Journal on Discrete Mathematics More from this journal
Volume:
31
Issue:
4
Pages:
2279–2300
Publication date:
2017-10-03
Acceptance date:
2017-07-24
DOI:
EISSN:
1095-7146
ISSN:
0895-4801


Keywords:
Pubs id:
pubs:709082
UUID:
uuid:c177c768-5e25-4bbe-b35d-201050a457b3
Local pid:
pubs:709082
Source identifiers:
709082
Deposit date:
2017-07-24
ARK identifier:

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