{"id":"https://openalex.org/W2086331454","doi":"https://doi.org/10.1137/070710913","title":"Interval Completion Is Fixed Parameter Tractable","display_name":"Interval Completion Is Fixed Parameter Tractable","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2086331454","doi":"https://doi.org/10.1137/070710913","mag":"2086331454"},"language":"en","primary_location":{"id":"doi:10.1137/070710913","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070710913","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-00115278","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109879985","display_name":"Yngve Villanger","orcid":null},"institutions":[{"id":"https://openalex.org/I4210108340","display_name":"University of International Business","ror":"https://ror.org/01rvqzw67","country_code":"KZ","type":"education","lineage":["https://openalex.org/I4210108340"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"Yngve Villanger","raw_affiliation_strings":["yngvev@ii.uib.no and pinar@ii.uib.no and telle@ii.uib.no#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"yngvev@ii.uib.no and pinar@ii.uib.no and telle@ii.uib.no#TAB#","institution_ids":["https://openalex.org/I4210108340"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022828497","display_name":"Pinar Heggernes","orcid":"https://orcid.org/0000-0001-9460-4355"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pinar Heggernes","raw_affiliation_strings":["Department of Informatics [Bergen]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics [Bergen]","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028652077","display_name":"Christophe Paul","orcid":"https://orcid.org/0000-0001-6519-975X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christophe Paul","raw_affiliation_strings":["[email\u00a0protected]#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[email\u00a0protected]#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019858728","display_name":"Jan Arne Telle","orcid":"https://orcid.org/0000-0002-9429-5377"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jan Arne Telle","raw_affiliation_strings":["Department of Informatics [Bergen]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics [Bergen]","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.9851,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.97903813,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"38","issue":"5","first_page":"2007","last_page":"2020"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6572185754776001},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.6278066039085388},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5804430842399597},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.49103331565856934},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4908028542995453}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6572185754776001},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6278066039085388},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5804430842399597},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.49103331565856934},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4908028542995453},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/070710913","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070710913","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.337.4758","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.337.4758","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ii.uib.no/~pinar/IC-FPT.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.73.8999","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.73.8999","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ii.uib.no/publikasjoner/texrap/pdf/2006-336.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:lirmm-00115278v1","is_oa":true,"landing_page_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-00115278","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"[Research Report] RR-06058, Lirmm. 2007","raw_type":"info:eu-repo/semantics/report"},{"id":"pmh:oai:HAL:lirmm-00371876v1","is_oa":false,"landing_page_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-00371876","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://link.aip.org/link/?SMJ/38/2007","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:lirmm-00115278v1","is_oa":true,"landing_page_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-00115278","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"[Research Report] RR-06058, Lirmm. 2007","raw_type":"info:eu-repo/semantics/report"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W61804575","https://openalex.org/W144954708","https://openalex.org/W1489360240","https://openalex.org/W1509196831","https://openalex.org/W1511161972","https://openalex.org/W1517921658","https://openalex.org/W1545416147","https://openalex.org/W1597775697","https://openalex.org/W1970088964","https://openalex.org/W1981885118","https://openalex.org/W2001020288","https://openalex.org/W2011039300","https://openalex.org/W2012067448","https://openalex.org/W2014611532","https://openalex.org/W2027502367","https://openalex.org/W2035331304","https://openalex.org/W2049670817","https://openalex.org/W2051856222","https://openalex.org/W2063410295","https://openalex.org/W2080998420","https://openalex.org/W2086119402","https://openalex.org/W2097374444","https://openalex.org/W2123707909","https://openalex.org/W2130673833","https://openalex.org/W2143474538","https://openalex.org/W2144050783","https://openalex.org/W2163101585","https://openalex.org/W2188633810","https://openalex.org/W2913688336","https://openalex.org/W2952683183","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2051058708","https://openalex.org/W154868527","https://openalex.org/W1494268238","https://openalex.org/W1983207144","https://openalex.org/W4288277589","https://openalex.org/W2998616538","https://openalex.org/W2173621488","https://openalex.org/W2964749573","https://openalex.org/W2401679980","https://openalex.org/W4245692971"],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2,38,51,237],"algorithm":[3,222,246],"with":[4,243],"runtime":[5],"$O(k^{2k}n^3m)$":[6],"for":[7,157,207],"the":[8,23,65,208,219,256],"following":[9],"NP-complete":[10],"problem":[11,35,145,151],"[M.":[12],"Garey":[13],"and":[14,18,30,45,73,87,99,117,140,164,192,202,240],"D.":[15,100,193],"Johnson,":[16],"Computers":[17],"Intractability:":[19],"A":[20],"Guide":[21],"to":[22,61,232,235],"Theory":[24,105],"of":[25,142,171,210,215,229,249],"NP-Completeness,":[26],"W.":[27,166],"H.":[28,167],"Freeman":[29],"Co.,":[31],"San":[32],"Francisco,":[33],"1979,":[34],"GT35]:":[36],"Given":[37],"arbitrary":[39],"graph":[40,53,234,239],"G":[41],"on":[42],"n":[43],"vertices":[44],"m":[46],"edges,":[47],"can":[48],"we":[49],"obtain":[50,236],"interval":[52,238],"by":[54,137,255],"adding":[55,230],"at":[56],"most":[57],"k":[58,214],"new":[59],"edges":[60,231],"G?":[62],"This":[63],"resolves":[64],"long-standing":[66],"open":[67],"question":[68],"[H.":[69],"Kaplan,":[70,138],"R.":[71,74,84,89,182,190],"Shamir,":[72,139],"E.":[75,183],"Tarjan,":[76,141,184],"SIAM":[77],"J.":[78,165,189,194],"Comput.,":[79],"28":[80],"(1999),":[81],"pp.":[82,111,133,200],"1906\u20131922;":[83],"G.":[85,113],"Downey":[86],"M.":[88,97],"Fellows,":[90],"Parameterized":[91],"Complexity,":[92],"Springer-Verlag,":[93,130],"New":[94],"York,":[95],"1999;":[96],"Serna":[98],"Thilikos,":[101],"Bull.":[102],"Eur.":[103],"Assoc.":[104],"Comput.":[106,127],"Sci.":[107,128],"EATCS,":[108],"86":[109],"(2005),":[110],"41\u201365;":[112],"Gutin,":[114],"S.":[115],"Szeider,":[116],"A.":[118,162],"Yeo,":[119],"in":[120,126,154,185,218],"Proceedings":[121],"IWPEC":[122],"2006,":[123,132],"Lecture":[124],"Notes":[125],"4169,":[129],"Berlin,":[131],"60\u201371],":[134],"first":[135],"posed":[136],"whether":[143],"this":[144,242],"was":[146],"fixed":[147],"parameter":[148],"tractable.":[149],"The":[150],"has":[152],"applications":[153],"profile":[155],"minimization":[156],"sparse":[158],"matrix":[159],"computations":[160],"[J.":[161],"George":[163],"Liu,":[168],"Computer":[169],"Solution":[170],"Large":[172],"Sparse":[173,186],"Positive":[174],"Definite":[175],"Systems,":[176],"Prentice-Hall,":[177],"Englewood":[178],"Cliffs,":[179],"NJ,":[180],"1981;":[181],"Matrix":[187],"Computations,":[188],"Bunch":[191],"Rose,":[195],"eds.,":[196],"Academic":[197],"Press,":[198],"1976,":[199],"3\u201322],":[201],"our":[203],"results":[204],"show":[205],"tractability":[206],"case":[209],"a":[211,233,244,250],"small":[212],"number":[213],"zero":[216],"elements":[217],"envelope.":[220],"Our":[221],"performs":[223],"bounded":[224],"search":[225],"among":[226],"possible":[227],"ways":[228],"combines":[241],"greedy":[245],"when":[247],"graphs":[248],"certain":[251],"structure":[252],"are":[253],"reached":[254],"search.":[257]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}