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Sparsification of binary CSPs

Abstract:
A cut ε-sparsifier of a weighted graph G is a re-weighted subgraph of G of (quasi)linear size that preserves the size of all cuts up to a multiplicative factor of ε. Since their introduction by Bencz´ur and Karger [STOC’96], cut sparsifiers have proved extremely influential and found various applications. Going beyond cut sparsifiers, Filtser and Krauthgamer [SIDMA’17] gave a precise classification of which binary Boolean CSPs are sparsifiable. In this paper, we extend their result to binary CSPs on arbitrary finite domains.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1137/19M1242446

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
ORCID:
0000-0002-0263-159X
Publisher:
Society for Industrial and Applied Mathematics Publisher's website
Journal:
SIAM Journal on Discrete Mathematics Journal website
Volume:
34
Issue:
1
Pages:
825-842
Publication date:
2020-03-23
Acceptance date:
2019-12-13
DOI:
EISSN:
1095-7146
ISSN:
0895-4801
Language:
English
Keywords:
Pubs id:
pubs:1077610
UUID:
uuid:6bf4b107-9522-477f-b1cd-7ef0775e235b
Local pid:
pubs:1077610
Source identifiers:
1077610
Deposit date:
2019-12-13

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