Parameterized approximation of dominating set problems
A problem open for many years is whether there is an FPT algorithm that given a graph G and parameter k, either: (1) determines that G has no k- Dominating Set, or (2) produces a dominating set of size at most g ( k ) , where g ( k ) is some fixed function of k. Such an outcome is termed an FPT appr...
Uloženo v:
| Vydáno v: | Information processing letters Ročník 109; číslo 1; s. 68 - 70 |
|---|---|
| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Amsterdam
Elsevier B.V
16.12.2008
Elsevier Elsevier Sequoia S.A |
| Témata: | |
| ISSN: | 0020-0190, 1872-6119 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | A problem open for many years is whether there is an FPT algorithm that given a graph
G and parameter
k, either: (1) determines that
G has no
k-
Dominating Set, or (2) produces a dominating set of size at most
g
(
k
)
, where
g
(
k
)
is some fixed function of
k. Such an outcome is termed an
FPT approximation algorithm. We describe some results that begin to provide some answers. We show that there is no such FPT algorithm for
g
(
k
)
of the form
k
+
c
(where
c is a fixed constant, termed an
additive FPT approximation), unless
FPT
=
W
[
2
]
. We answer the analogous problem completely for the related
Independent Dominating Set (IDS) problem, showing that IDS does not admit an FPT approximation algorithm, for any
g
(
k
)
, unless
FPT
=
W
[
2
]
. |
|---|---|
| AbstractList | A problem open for many years is whether there is an FPT algorithm that given a graph G and parameter k, either: (1) determines that G has no k-Dominating Set, or (2) produces a dominating set of size at most g(k), where g(k) is some fixed function of k. Such an outcome is termed an FPT approximation algorithm. We describe some results that begin to provide some answers. We show that there is no such FPT algorithm for g(k) of the form k+c (where c is a fixed constant, termed an additive FPT approximation), unless FPT = W[2]. We answer the analogous problem completely for the related Independent Dominating Set (IDS) problem, showing that IDS does not admit an FPT approximation algorithm, for any g(k), unless FPT = W[2]. [PUBLICATION ABSTRACT] A problem open for many years is whether there is an FPT algorithm that given a graph G and parameter k, either: (1) determines that G has no k- Dominating Set, or (2) produces a dominating set of size at most g ( k ) , where g ( k ) is some fixed function of k. Such an outcome is termed an FPT approximation algorithm. We describe some results that begin to provide some answers. We show that there is no such FPT algorithm for g ( k ) of the form k + c (where c is a fixed constant, termed an additive FPT approximation), unless FPT = W [ 2 ] . We answer the analogous problem completely for the related Independent Dominating Set (IDS) problem, showing that IDS does not admit an FPT approximation algorithm, for any g ( k ) , unless FPT = W [ 2 ] . |
| Author | McCartin, Catherine Downey, Rodney G. Rosamond, Frances Fellows, Michael R. |
| Author_xml | – sequence: 1 givenname: Rodney G. surname: Downey fullname: Downey, Rodney G. email: Rod.Downey@mcs.vuw.ac.nz organization: Victoria University, Wellington, New Zealand – sequence: 2 givenname: Michael R. surname: Fellows fullname: Fellows, Michael R. email: michael.fellows@newcastle.edu.au organization: The University of Newcastle, Callaghan, Australia – sequence: 3 givenname: Catherine surname: McCartin fullname: McCartin, Catherine email: C.M.McCartin@massey.ac.nz organization: Massey University, Palmerston North, New Zealand – sequence: 4 givenname: Frances surname: Rosamond fullname: Rosamond, Frances email: frances.rosamond@newcastle.edu.au organization: The University of Newcastle, Callaghan, Australia |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=20876817$$DView record in Pascal Francis |
| BookMark | eNp9kM9LwzAUx4NMcJv-Ad6K4LH1JV2TBk8y_AUDPewe0uRVUrq2Jp2of73ZJh487BQe-Xzel_edkUnXd0jIJYWMAuU3TeaGNmMAZQYyAypOyJSWgqWcUjkhUwAGKVAJZ2QWQgMAfJGLKeGv2usNjujdN9pED4PvP91Gj67vkr5ObL9xXZy6tyTgmMTfqsVNOCentW4DXvy-c7J-uF8vn9LVy-Pz8m6VmkUhxhQrWJQcC2kACq2ZtNzqvKorK4WsjWBQMpsLbri0kmpeGVpwFLpgRUU5y-fk6rA25r5vMYyq6be-i4mK5YKVAngeoetfSAej29rrzrigBh_P8F8qZgheUhE5euCM70PwWP8hFNSuRNWoWKLalahAKtg74p9j3LgvZ_TatUfN24OJsZ4Ph14F47AzaJ1HMyrbuyP2D8R2jaU |
| CODEN | IFPLAT |
| CitedBy_id | crossref_primary_10_1016_j_jcss_2017_09_009 crossref_primary_10_1016_j_dam_2020_12_015 crossref_primary_10_1016_j_jcss_2012_09_001 crossref_primary_10_1016_j_comcom_2012_10_005 crossref_primary_10_1016_j_jcss_2025_103631 crossref_primary_10_1007_s13278_012_0067_7 crossref_primary_10_1016_j_jda_2013_06_011 crossref_primary_10_3390_a13020035 crossref_primary_10_1137_17M1127211 crossref_primary_10_1016_j_asoc_2023_110387 crossref_primary_10_1002_net_20404 crossref_primary_10_1007_s00224_014_9549_5 crossref_primary_10_1145_3325116 crossref_primary_10_1007_s00453_014_9889_1 crossref_primary_10_1016_j_jcss_2017_11_001 crossref_primary_10_1016_j_cosrev_2011_09_002 crossref_primary_10_1007_s00521_016_2429_y crossref_primary_10_1137_18M1166869 |
| Cites_doi | 10.1093/comjnl/bxm048 10.1137/S0097539703427203 10.1016/j.orl.2007.02.008 |
| ContentType | Journal Article |
| Copyright | 2008 Elsevier B.V. 2009 INIST-CNRS Copyright Elsevier Sequoia S.A. Dec 16, 2008 |
| Copyright_xml | – notice: 2008 Elsevier B.V. – notice: 2009 INIST-CNRS – notice: Copyright Elsevier Sequoia S.A. Dec 16, 2008 |
| DBID | AAYXX CITATION IQODW 7SC 8FD JQ2 L7M L~C L~D |
| DOI | 10.1016/j.ipl.2008.09.017 |
| DatabaseName | CrossRef Pascal-Francis Computer and Information Systems Abstracts Technology Research Database ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Computer and Information Systems Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Advanced Technologies Database with Aerospace ProQuest Computer Science Collection Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Computer and Information Systems Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Computer Science Applied Sciences |
| EISSN | 1872-6119 |
| EndPage | 70 |
| ExternalDocumentID | 1597929951 20876817 10_1016_j_ipl_2008_09_017 S0020019008002469 |
| Genre | Feature |
| GroupedDBID | --K --M -~X .DC .~1 0R~ 1B1 1RT 1~. 1~5 29I 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9JN AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO AAYFN ABBOA ABEFU ABFNM ABFSI ABJNI ABMAC ABTAH ABXDB ABYKQ ACDAQ ACGFS ACNNM ACRLP ACZNC ADBBV ADEZE ADJOM ADMUD AEBSH AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHZHX AIALX AIEXJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AOUOD ASPBG AVWKF AXJTR AZFZN BKOJK BKOMP BLXMC CS3 DU5 E.L EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q G8K GBLVA GBOLZ HLZ HMJ HVGLF HZ~ IHE J1W KOM LG9 M26 M41 MO0 MS~ O-L O9- OAUVE OZT P-8 P-9 P2P PC. PQQKQ Q38 R2- RIG ROL RPZ SBC SDF SDG SDP SES SEW SME SPC SPCBC SSV SSZ T5K TN5 UQL WH7 WUQ XPP ZMT ZY4 ~G- 9DU AATTM AAXKI AAYWO AAYXX ABDPE ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD AFXIZ AGCQF AGRNS BNPGV IQODW SSH 7SC 8FD JQ2 L7M L~C L~D |
| ID | FETCH-LOGICAL-c457t-eb0486e59c005aa29d6da3bfbd979fc72082d376c69d91a6bc156e7a525b1623 |
| ISICitedReferencesCount | 34 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000261357200014&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0020-0190 |
| IngestDate | Sun Nov 09 08:47:42 EST 2025 Mon Jul 21 09:13:55 EDT 2025 Sat Nov 29 03:44:16 EST 2025 Tue Nov 18 21:18:50 EST 2025 Fri Feb 23 02:30:02 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | FPT approximation Approximation algorithms Parameterized complexity Approximation Dominating set Computer theory Information processing Independent set Approximation algorithm Algorithm analysis Graph algorithm Complexity |
| Language | English |
| License | https://www.elsevier.com/tdm/userlicense/1.0 CC BY 4.0 |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c457t-eb0486e59c005aa29d6da3bfbd979fc72082d376c69d91a6bc156e7a525b1623 |
| Notes | SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 |
| PQID | 237287063 |
| PQPubID | 45522 |
| PageCount | 3 |
| ParticipantIDs | proquest_journals_237287063 pascalfrancis_primary_20876817 crossref_primary_10_1016_j_ipl_2008_09_017 crossref_citationtrail_10_1016_j_ipl_2008_09_017 elsevier_sciencedirect_doi_10_1016_j_ipl_2008_09_017 |
| PublicationCentury | 2000 |
| PublicationDate | 2008-12-16 |
| PublicationDateYYYYMMDD | 2008-12-16 |
| PublicationDate_xml | – month: 12 year: 2008 text: 2008-12-16 day: 16 |
| PublicationDecade | 2000 |
| PublicationPlace | Amsterdam |
| PublicationPlace_xml | – name: Amsterdam |
| PublicationTitle | Information processing letters |
| PublicationYear | 2008 |
| Publisher | Elsevier B.V Elsevier Elsevier Sequoia S.A |
| Publisher_xml | – name: Elsevier B.V – name: Elsevier – name: Elsevier Sequoia S.A |
| References | Downey, McCartin (bib004) 2004; vol. 3162 Chen, Grohe, Grüber (bib001) 2006; vol. 4169 Cai, Huang (bib002) 2006; vol. 4169 C.M. McCartin, P. Rossmanith, M. Fellows, Frontiers of intractability for dominating set, Manuscript, 2007 Niedermeier (bib011) 2006 Flum, Grohe (bib005) 2004; 33 Grohe, Grüber (bib006) 2007; vol. 4596 Downey, Fellows (bib003) 1999 Marx (bib008) 2008; 36 C.M. McCartin, Contributions to parameterized complexity, PhD thesis, Victoria University, Wellington, 2003 Marx (bib007) 2008; 51 Downey (10.1016/j.ipl.2008.09.017_bib003) 1999 Grohe (10.1016/j.ipl.2008.09.017_bib006) 2007; vol. 4596 Marx (10.1016/j.ipl.2008.09.017_bib008) 2008; 36 10.1016/j.ipl.2008.09.017_bib010 Marx (10.1016/j.ipl.2008.09.017_bib007) 2008; 51 Flum (10.1016/j.ipl.2008.09.017_bib005) 2004; 33 Niedermeier (10.1016/j.ipl.2008.09.017_bib011) 2006 Chen (10.1016/j.ipl.2008.09.017_bib001) 2006; vol. 4169 10.1016/j.ipl.2008.09.017_bib009 Cai (10.1016/j.ipl.2008.09.017_bib002) 2006; vol. 4169 Downey (10.1016/j.ipl.2008.09.017_bib004) 2004; vol. 3162 |
| References_xml | – volume: vol. 4169 start-page: 109 year: 2006 end-page: 120 ident: bib001 article-title: On parameterized approximability publication-title: Proceedings of the Second International Workshop on Parameterized and Exact Computation – reference: C.M. McCartin, P. Rossmanith, M. Fellows, Frontiers of intractability for dominating set, Manuscript, 2007 – year: 2006 ident: bib011 article-title: Invitation to Fixed-Parameter Algorithms – volume: vol. 4596 start-page: 363 year: 2007 end-page: 374 ident: bib006 article-title: Parameterized approximability of the disjoint cycle problem publication-title: Proceedings of ICALP 2007 – volume: 33 start-page: 892 year: 2004 end-page: 922 ident: bib005 article-title: The parameterized complexity of counting problems publication-title: SIAM Journal on Computing – volume: vol. 4169 start-page: 96 year: 2006 end-page: 108 ident: bib002 article-title: Fixed parameter approximation: Conceptual framework and approximability results publication-title: Proceedings of the Second International Workshop on Parameterized and Exact Computation – year: 1999 ident: bib003 article-title: Parameterized Complexity – volume: vol. 3162 start-page: 13 year: 2004 end-page: 24 ident: bib004 article-title: Online problems, pathwidth, and persistence publication-title: Proceedings of IWPEC 2004 – volume: 51 start-page: 60 year: 2008 end-page: 78 ident: bib007 article-title: Parameterized complexity and approximation algorithms publication-title: The Computer Journal – volume: 36 start-page: 31 year: 2008 end-page: 36 ident: bib008 article-title: Searching the publication-title: Operations Research Letters – reference: C.M. McCartin, Contributions to parameterized complexity, PhD thesis, Victoria University, Wellington, 2003 – volume: vol. 4169 start-page: 96 year: 2006 ident: 10.1016/j.ipl.2008.09.017_bib002 article-title: Fixed parameter approximation: Conceptual framework and approximability results – volume: 51 start-page: 60 issue: 1 year: 2008 ident: 10.1016/j.ipl.2008.09.017_bib007 article-title: Parameterized complexity and approximation algorithms publication-title: The Computer Journal doi: 10.1093/comjnl/bxm048 – year: 2006 ident: 10.1016/j.ipl.2008.09.017_bib011 – year: 1999 ident: 10.1016/j.ipl.2008.09.017_bib003 – ident: 10.1016/j.ipl.2008.09.017_bib009 – ident: 10.1016/j.ipl.2008.09.017_bib010 – volume: vol. 4169 start-page: 109 year: 2006 ident: 10.1016/j.ipl.2008.09.017_bib001 article-title: On parameterized approximability – volume: 33 start-page: 892 issue: 4 year: 2004 ident: 10.1016/j.ipl.2008.09.017_bib005 article-title: The parameterized complexity of counting problems publication-title: SIAM Journal on Computing doi: 10.1137/S0097539703427203 – volume: vol. 3162 start-page: 13 year: 2004 ident: 10.1016/j.ipl.2008.09.017_bib004 article-title: Online problems, pathwidth, and persistence – volume: 36 start-page: 31 issue: 1 year: 2008 ident: 10.1016/j.ipl.2008.09.017_bib008 article-title: Searching the k-change neighborhood for TSP is W[1]-hard publication-title: Operations Research Letters doi: 10.1016/j.orl.2007.02.008 – volume: vol. 4596 start-page: 363 year: 2007 ident: 10.1016/j.ipl.2008.09.017_bib006 article-title: Parameterized approximability of the disjoint cycle problem |
| SSID | ssj0006437 |
| Score | 2.001763 |
| Snippet | A problem open for many years is whether there is an FPT algorithm that given a graph
G and parameter
k, either: (1) determines that
G has no
k-
Dominating... A problem open for many years is whether there is an FPT algorithm that given a graph G and parameter k, either: (1) determines that G has no k-Dominating Set,... |
| SourceID | proquest pascalfrancis crossref elsevier |
| SourceType | Aggregation Database Index Database Enrichment Source Publisher |
| StartPage | 68 |
| SubjectTerms | Algorithmics. Computability. Computer arithmetics Algorithms Applied sciences Approximation Approximation algorithms Computer science; control theory; systems Exact sciences and technology FPT approximation Information retrieval. Graph Mathematical problems Miscellaneous Parameterized complexity Studies Theoretical computing |
| Title | Parameterized approximation of dominating set problems |
| URI | https://dx.doi.org/10.1016/j.ipl.2008.09.017 https://www.proquest.com/docview/237287063 |
| Volume | 109 |
| WOSCitedRecordID | wos000261357200014&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1872-6119 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0006437 issn: 0020-0190 databaseCode: AIEXJ dateStart: 19950113 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3da9swEBdZu4dB2fdo1674YexhxSGxY8t6DCVhG1lWqAd5E7IlQ0pmu3Vawv6m_ZG9syS7XljYHvZijC3lQ3c6_U66ux8h71UWKG9AlRuKjLqw4jNXyDBw0xEYPwTkTNbV9Wd0Po8WC3bR6_2yuTB3K5rn0WbDyv8qangGwsbU2X8Qd_Oh8ADuQehwBbHD9a8EfyEw3gpLMP8EMFnXDN8sfzTIUBYY_FIHO1dqfWYIZaqHINWkKNU9Sp1IgM1XdeZPS0QP_rs5dCok3LUsXVM80NEU4iYqvw1L_JqeN4ULmuzD9tSnQvIjaRF1qrq7EhFGeOikSb1VZtNlLtX1bbEUZ5f98UMz7GE0nOYJ7StteSPqgR9r7Kc1zQO2pYPa0Gouni37r7cirvrLcmXiZFl_oJNDu7W259_49PtsxuPJIu6-1a4R-FkAHAF-fiivXeQow7N8Q9jyiOx7NGBgQ_fHnyeLL83Kj4egOqRI_z17il7HE_72k_6Egw5KUcHszDStyhZCqGFP_Jw8Nf6KM9Z69oL0VP6SPLNcII5ZGl6RsKN2TkftnCJzWrVzQO0cq3avSTydxOefXMPJAbM3oGtXJVijUQUsBfMthMdkKIWfZImEActS6gGklLBopTjJhyJM0mEQKioCL0iGALXfkL28yNUhcZTyM2iLNQN98BpENAJPJQPMhpA7ksERGdgB4qmpV4-0KStuAxOvOIyp4VFlHMb0iHxsupS6WMuuxiM76tygTY0iOSjTrm6nHQk1X-RhcccIGxxbkXFjFiru-bSOKPDf7nx7TJ60k-mE7K1vbtU78ji9Wy-rm1Ojbvch8LNT |
| linkProvider | Elsevier |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Parameterized+approximation+of+dominating+set+problems&rft.jtitle=Information+processing+letters&rft.au=Downey%2C+Rodney+G&rft.au=Fellows%2C+Michael+R&rft.au=McCartin%2C+Catherine&rft.au=Rosamond%2C+Frances&rft.date=2008-12-16&rft.pub=Elsevier+Sequoia+S.A&rft.issn=0020-0190&rft.eissn=1872-6119&rft.volume=109&rft.issue=1&rft.spage=68&rft_id=info:doi/10.1016%2Fj.ipl.2008.09.017&rft.externalDBID=NO_FULL_TEXT&rft.externalDocID=1597929951 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0020-0190&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0020-0190&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0020-0190&client=summon |