Pseudo-Kernelization

Pseudo-kernelization is introduced in this paper as a new strategy for improving fixed-parameter algorithms. This new technique works for bounded search tree algorithms by identifying favorable branching conditions whose absence could be used to reduce the size of corresponding problem instances. Ps...

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Main Author: Abu-Khzam, Faisal N. (author)
Format: article
Published: 2007
Online Access:http://hdl.handle.net/10725/2770
http://dx.doi.org/10.1007/s00224-007-1344-0
http://link.springer.com/article/10.1007/s00224-007-1344-0
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author Abu-Khzam, Faisal N.
author_facet Abu-Khzam, Faisal N.
author_role author
dc.creator.none.fl_str_mv Abu-Khzam, Faisal N.
dc.date.none.fl_str_mv 2007
2015-12-07T08:53:44Z
2015-12-07T08:53:44Z
2015-12-07
dc.identifier.none.fl_str_mv 1432-4350
http://hdl.handle.net/10725/2770
http://dx.doi.org/10.1007/s00224-007-1344-0
Abu-Khzam, F. N. (2007). Pseudo-Kernelization: A Branch-then-Reduce Approach for FPT Problems. Theory of Computing Systems, 41(3), 399-410.
http://link.springer.com/article/10.1007/s00224-007-1344-0
dc.language.none.fl_str_mv en
dc.relation.none.fl_str_mv Theory of Computing Systems
dc.rights.*.fl_str_mv info:eu-repo/semantics/openAccess
dc.title.none.fl_str_mv Pseudo-Kernelization
A Branch-then-Reduce Approach for FPT Problems
dc.type.none.fl_str_mv Article
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
description Pseudo-kernelization is introduced in this paper as a new strategy for improving fixed-parameter algorithms. This new technique works for bounded search tree algorithms by identifying favorable branching conditions whose absence could be used to reduce the size of corresponding problem instances. Pseudo-kernelization applies well to hitting set problems. It can be used either to improve the search tree size of a 3-Hitting-Set algorithm from O*(2.179k) to O*(2.05k), or to improve the kernel size from k3 to 27k. In this paper the parameterized 3-Hitting-Set and Face Cover problems are used as typical examples.
eu_rights_str_mv openAccess
format article
id LAURepo_486221d9fd3a027cd6e0fa7b52a76bf5
identifier_str_mv 1432-4350
Abu-Khzam, F. N. (2007). Pseudo-Kernelization: A Branch-then-Reduce Approach for FPT Problems. Theory of Computing Systems, 41(3), 399-410.
language_invalid_str_mv en
network_acronym_str LAURepo
network_name_str Lebanese American University repository
oai_identifier_str oai:laur.lau.edu.lb:10725/2770
publishDate 2007
repository.mail.fl_str_mv
repository.name.fl_str_mv
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spelling Pseudo-KernelizationA Branch-then-Reduce Approach for FPT ProblemsAbu-Khzam, Faisal N.Pseudo-kernelization is introduced in this paper as a new strategy for improving fixed-parameter algorithms. This new technique works for bounded search tree algorithms by identifying favorable branching conditions whose absence could be used to reduce the size of corresponding problem instances. Pseudo-kernelization applies well to hitting set problems. It can be used either to improve the search tree size of a 3-Hitting-Set algorithm from O*(2.179k) to O*(2.05k), or to improve the kernel size from k3 to 27k. In this paper the parameterized 3-Hitting-Set and Face Cover problems are used as typical examples.PublishedN/A2015-12-07T08:53:44Z2015-12-07T08:53:44Z20072015-12-07Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1432-4350http://hdl.handle.net/10725/2770http://dx.doi.org/10.1007/s00224-007-1344-0Abu-Khzam, F. N. (2007). Pseudo-Kernelization: A Branch-then-Reduce Approach for FPT Problems. Theory of Computing Systems, 41(3), 399-410.http://link.springer.com/article/10.1007/s00224-007-1344-0enTheory of Computing Systemsinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/27702018-05-21T09:00:07Z
spellingShingle Pseudo-Kernelization
Abu-Khzam, Faisal N.
status_str publishedVersion
title Pseudo-Kernelization
title_full Pseudo-Kernelization
title_fullStr Pseudo-Kernelization
title_full_unstemmed Pseudo-Kernelization
title_short Pseudo-Kernelization
title_sort Pseudo-Kernelization
url http://hdl.handle.net/10725/2770
http://dx.doi.org/10.1007/s00224-007-1344-0
http://link.springer.com/article/10.1007/s00224-007-1344-0