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On planar valued CSPs

Abstract:
We study the computational complexity of planar valued constraint satisfaction problems (VCSPs). First, we show that intractable Boolean VCSPs have to be self-complementary to be tractable in the planar setting, thus extending a corresponding result of Dvořák and Kupec [ICALP’15] from CSPs to VCSPs. Second, we give a complete complexity classification of conservative planar VCSPs on arbitrary finite domains. As it turns out, in this case planarity does not lead to any new tractable cases, and thus our classification is a sharpening of the classification of conservative VCSPs by Kolmogorov and Živný [JACM’13].
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.4230/LIPIcs.MFCS.2016.39

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


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Funding agency for:
Zivny, S
Grant:
Research Grant


Publisher:
Dagstuhl Publishing
Host title:
Proceedings of the 41st International Symposium on Mathematical Foundations of Computer Science
Journal:
MFCS 2016 More from this journal
Volume:
58
Pages:
1-14
Publication date:
2016-01-01
Acceptance date:
2016-06-05
DOI:
ISSN:
1868-8969
ISBN:
9783959770163


Keywords:
Pubs id:
pubs:627173
UUID:
uuid:46829ebf-a6a0-4be2-96dd-71c7b61a94c3
Local pid:
pubs:627173
Source identifiers:
627173
Deposit date:
2016-06-10
ARK identifier:

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