Data reductions and combinatorial bounds for improved approximation algorithms

Kernelization algorithms in the context of Parameterized Complexity are often based on a combination of data reduction rules and combinatorial insights. We will expose in this paper a similar strategy for obtaining polynomial-time approximation algorithms. Our method features the use of approximatio...

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Main Author: Abu-Khzam, Faisal N. (author)
Other Authors: Bazgan, Cristina (author), Chopin, Morgan (author), Fernau, Henning (author)
Format: article
Published: 2016
Online Access:http://hdl.handle.net/10725/4759
http://dx.doi.org/10.1016/j.jcss.2015.11.010
http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php
http://www.sciencedirect.com/science/article/pii/S0022000015001336
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author Abu-Khzam, Faisal N.
author2 Bazgan, Cristina
Chopin, Morgan
Fernau, Henning
author2_role author
author
author
author_facet Abu-Khzam, Faisal N.
Bazgan, Cristina
Chopin, Morgan
Fernau, Henning
author_role author
dc.creator.none.fl_str_mv Abu-Khzam, Faisal N.
Bazgan, Cristina
Chopin, Morgan
Fernau, Henning
dc.date.none.fl_str_mv 2016-11-08T13:59:07Z
2016-11-08T13:59:07Z
2016
2016-11-08
dc.identifier.none.fl_str_mv 0022-0000
http://hdl.handle.net/10725/4759
http://dx.doi.org/10.1016/j.jcss.2015.11.010
Abu-Khzam, F. N., Bazgan, C., Chopin, M., & Fernau, H. (2016). Data reductions and combinatorial bounds for improved approximation algorithms. Journal of Computer and System Sciences, 82(3), 503-520.
http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php
http://www.sciencedirect.com/science/article/pii/S0022000015001336
dc.language.none.fl_str_mv en
dc.relation.none.fl_str_mv Journal of Computer and System Sciences
dc.rights.*.fl_str_mv info:eu-repo/semantics/openAccess
dc.title.none.fl_str_mv Data reductions and combinatorial bounds for improved approximation algorithms
dc.type.none.fl_str_mv Article
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
description Kernelization algorithms in the context of Parameterized Complexity are often based on a combination of data reduction rules and combinatorial insights. We will expose in this paper a similar strategy for obtaining polynomial-time approximation algorithms. Our method features the use of approximation-preserving reductions, akin to the notion of parameterized reductions. We exemplify this method to obtain the currently best approximation algorithms for Harmless Set, Differential and Multiple Nonblocker, all of them can be considered in the context of securing networks or information propagation.
eu_rights_str_mv openAccess
format article
id LAURepo_5962fcbb41495ecd1707b46012aa8367
identifier_str_mv 0022-0000
Abu-Khzam, F. N., Bazgan, C., Chopin, M., & Fernau, H. (2016). Data reductions and combinatorial bounds for improved approximation algorithms. Journal of Computer and System Sciences, 82(3), 503-520.
language_invalid_str_mv en
network_acronym_str LAURepo
network_name_str Lebanese American University repository
oai_identifier_str oai:laur.lau.edu.lb:10725/4759
publishDate 2016
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spelling Data reductions and combinatorial bounds for improved approximation algorithmsAbu-Khzam, Faisal N.Bazgan, CristinaChopin, MorganFernau, HenningKernelization algorithms in the context of Parameterized Complexity are often based on a combination of data reduction rules and combinatorial insights. We will expose in this paper a similar strategy for obtaining polynomial-time approximation algorithms. Our method features the use of approximation-preserving reductions, akin to the notion of parameterized reductions. We exemplify this method to obtain the currently best approximation algorithms for Harmless Set, Differential and Multiple Nonblocker, all of them can be considered in the context of securing networks or information propagation.PublishedN/A2016-11-08T13:59:07Z2016-11-08T13:59:07Z20162016-11-08Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0022-0000http://hdl.handle.net/10725/4759http://dx.doi.org/10.1016/j.jcss.2015.11.010Abu-Khzam, F. N., Bazgan, C., Chopin, M., & Fernau, H. (2016). Data reductions and combinatorial bounds for improved approximation algorithms. Journal of Computer and System Sciences, 82(3), 503-520.http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.phphttp://www.sciencedirect.com/science/article/pii/S0022000015001336enJournal of Computer and System Sciencesinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/47592021-03-19T10:00:50Z
spellingShingle Data reductions and combinatorial bounds for improved approximation algorithms
Abu-Khzam, Faisal N.
status_str publishedVersion
title Data reductions and combinatorial bounds for improved approximation algorithms
title_full Data reductions and combinatorial bounds for improved approximation algorithms
title_fullStr Data reductions and combinatorial bounds for improved approximation algorithms
title_full_unstemmed Data reductions and combinatorial bounds for improved approximation algorithms
title_short Data reductions and combinatorial bounds for improved approximation algorithms
title_sort Data reductions and combinatorial bounds for improved approximation algorithms
url http://hdl.handle.net/10725/4759
http://dx.doi.org/10.1016/j.jcss.2015.11.010
http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php
http://www.sciencedirect.com/science/article/pii/S0022000015001336