Sparsification of Binary CSPs

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 Benczúr and Karger [STOC’96], cut sparsifiers have proved extremely influential and found various applicat...

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Main Authors: Butti, S, Zivny, S
Format: Conference item
Published: Schloss Dagstuhl - Leibniz-Zentrum für Informatik 2019
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author Butti, S
Zivny, S
author_facet Butti, S
Zivny, S
author_sort Butti, S
collection OXFORD
description 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 Benczúr 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.
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spelling oxford-uuid:da7375d5-ac8f-4806-a2ca-bd84580ee15e2022-03-27T09:03:21ZSparsification of Binary CSPsConference itemhttp://purl.org/coar/resource_type/c_5794uuid:da7375d5-ac8f-4806-a2ca-bd84580ee15eSymplectic Elements at OxfordSchloss Dagstuhl - Leibniz-Zentrum für Informatik2019Butti, SZivny, SA 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 Benczúr 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.
spellingShingle Butti, S
Zivny, S
Sparsification of Binary CSPs
title Sparsification of Binary CSPs
title_full Sparsification of Binary CSPs
title_fullStr Sparsification of Binary CSPs
title_full_unstemmed Sparsification of Binary CSPs
title_short Sparsification of Binary CSPs
title_sort sparsification of binary csps
work_keys_str_mv AT buttis sparsificationofbinarycsps
AT zivnys sparsificationofbinarycsps