{"id":"https://openalex.org/W2068407006","doi":"https://doi.org/10.1051/ita/2014026","title":"Domination problems on P<sub>5</sub>-free graphs","display_name":"Domination problems on P<sub>5</sub>-free graphs","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W2068407006","doi":"https://doi.org/10.1051/ita/2014026","mag":"2068407006"},"language":"en","primary_location":{"id":"doi:10.1051/ita/2014026","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ita/2014026","pdf_url":"https://www.rairo-ita.org/articles/ita/pdf/2014/05/ita140024.pdf","source":{"id":"https://openalex.org/S6941720","display_name":"RAIRO - Theoretical Informatics and Applications","issn_l":"0988-3754","issn":["0988-3754","1290-385X","2804-7346"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.rairo-ita.org/articles/ita/pdf/2014/05/ita140024.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002585999","display_name":"Min Chih Lin","orcid":"https://orcid.org/0000-0002-5754-9761"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Min Chih Lin","raw_affiliation_strings":["Intendente G\u00fciraldes 2160, C1428EGA Buenos Aires, Buenos Aires Province, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Intendente G\u00fciraldes 2160, C1428EGA Buenos Aires, Buenos Aires Province, Argentina","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027774787","display_name":"Michel J. Mizrahi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michel J. Mizrahi","raw_affiliation_strings":["Intendente G\u00fciraldes 2160, C1428EGA Buenos Aires, Buenos Aires Province, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Intendente G\u00fciraldes 2160, C1428EGA Buenos Aires, Buenos Aires Province, Argentina","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11572026,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"48","issue":"5","first_page":"541","last_page":"549"},"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":0.9983000159263611,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.7929201126098633},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7367240786552429},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6165332198143005},{"id":"https://openalex.org/keywords/minimum-weight","display_name":"Minimum weight","score":0.5093282461166382},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5048116445541382},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4623929262161255},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.4390442371368408},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.42495793104171753},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.37949270009994507},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.20648938417434692},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.20591849088668823}],"concepts":[{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.7929201126098633},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7367240786552429},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6165332198143005},{"id":"https://openalex.org/C2778945305","wikidata":"https://www.wikidata.org/wiki/Q6865502","display_name":"Minimum weight","level":2,"score":0.5093282461166382},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5048116445541382},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4623929262161255},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.4390442371368408},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.42495793104171753},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.37949270009994507},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.20648938417434692},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.20591849088668823}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ita/2014026","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ita/2014026","pdf_url":"https://www.rairo-ita.org/articles/ita/pdf/2014/05/ita140024.pdf","source":{"id":"https://openalex.org/S6941720","display_name":"RAIRO - Theoretical Informatics and Applications","issn_l":"0988-3754","issn":["0988-3754","1290-385X","2804-7346"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},{"id":"pmh:oai:ri.conicet.gov.ar:11336/33078","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/33078","pdf_url":null,"source":{"id":"https://openalex.org/S4306401400","display_name":"Conicet","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210104196","host_organization_name":"Centro Cient\u00edfico Tecnol\u00f3gico - Nordeste","host_organization_lineage":["https://openalex.org/I4210104196"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1051/ita/2014026","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ita/2014026","pdf_url":"https://www.rairo-ita.org/articles/ita/pdf/2014/05/ita140024.pdf","source":{"id":"https://openalex.org/S6941720","display_name":"RAIRO - Theoretical Informatics and Applications","issn_l":"0988-3754","issn":["0988-3754","1290-385X","2804-7346"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748","https://openalex.org/P4310319982"],"host_organization_lineage_names":["EDP Sciences","Science Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1201676734","display_name":null,"funder_award_id":"20020100100754","funder_id":"https://openalex.org/F4320335478","funder_display_name":"Secretar\u00eda de Ciencia y T\u00e9cnica, Universidad de Buenos Aires"},{"id":"https://openalex.org/G2780939056","display_name":null,"funder_award_id":"20020120100058","funder_id":"https://openalex.org/F4320335478","funder_display_name":"Secretar\u00eda de Ciencia y T\u00e9cnica, Universidad de Buenos Aires"},{"id":"https://openalex.org/G6764665484","display_name":null,"funder_award_id":"11220100100310","funder_id":"https://openalex.org/F4320321594","funder_display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas"},{"id":"https://openalex.org/G7378882120","display_name":null,"funder_award_id":"CONICET","funder_id":"https://openalex.org/F4320334832","funder_display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"}],"funders":[{"id":"https://openalex.org/F4320321594","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59"},{"id":"https://openalex.org/F4320334832","display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/03stxzb56"},{"id":"https://openalex.org/F4320335478","display_name":"Secretar\u00eda de Ciencia y T\u00e9cnica, Universidad de Buenos Aires","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2068407006.pdf","grobid_xml":"https://content.openalex.org/works/W2068407006.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1984228559","https://openalex.org/W1984394682","https://openalex.org/W2004237078","https://openalex.org/W2013474931","https://openalex.org/W2023728975","https://openalex.org/W2030973065","https://openalex.org/W2040631047","https://openalex.org/W2044531679","https://openalex.org/W2055245094","https://openalex.org/W2058460385","https://openalex.org/W2064544350","https://openalex.org/W2073279057","https://openalex.org/W2081121429","https://openalex.org/W2098962864","https://openalex.org/W2103589346","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2124568589","https://openalex.org/W2029336174","https://openalex.org/W2157783000","https://openalex.org/W1987143101","https://openalex.org/W2963009577","https://openalex.org/W2788975631","https://openalex.org/W2903402681","https://openalex.org/W3139101777","https://openalex.org/W4287117052","https://openalex.org/W2584187496"],"abstract_inverted_index":{"The":[0],"minimum":[1,11,26,36],"roman":[2,12],"dominating":[3,13,27,37],"problem":[4,29],"(denoted":[5,30],"by":[6,31],"\u03b3R(G),":[7],"the":[8,22,33,123,149,167],"weight":[9],"of":[10,15,21,35,39,80],"function":[14],"graph":[16,40,50],"G)":[17],"is":[18],"a":[19],"variant":[20],"very":[23],"well":[24],"known":[25],"set":[28,38],"\u03b3(G),":[32],"cardinality":[34],"G).":[41],"Both":[42],"problems":[43,75,90,130],"remain":[44],"NP-Complete":[45],"when":[46,110],"restricted":[47,76,91,111],"to":[48,77,92,112,128,172],"P5-free":[49,81],"class":[51],"[A.A.":[52],"Bertossi,":[53],"Inf.":[54],"Process.":[55],"Lett.":[56],"19":[57],"(1984)":[58],"37\u201340;":[59],"E.J.":[60],"Cockayne,":[61],"et":[62],"al.":[63],"Discret.":[64],"Math.":[65],"278":[66],"(2004)":[67],"11\u201322].":[68],"In":[69],"this":[70],"paper":[71],"we":[72,164],"study":[73],"both":[74,89,104],"some":[78],"subclasses":[79],"graphs.":[82,118],"We":[83],"describe":[84],"robust":[85],"algorithms":[86,109,150,174],"that":[87,122],"solve":[88,129],"(P5,(s,t)-net)-free":[93],"graphs":[94,133],"in":[95,134,166],"polynomial":[96,135],"time.":[97],"This":[98],"result":[99],"generalizes":[100],"previous":[101],"works":[102],"for":[103,131,159,175],"problems,":[105],"and":[106,139,162],"improves":[107],"existing":[108],"certain":[113],"families":[114],"such":[115,178],"as":[116,163,179],"(P5,bull)-free":[117],"It":[119],"turns":[120],"out":[121],"same":[124],"approach":[125],"also":[126],"serves":[127],"general":[132],"time":[136],"whenever":[137],"\u03b3(G)":[138],"\u03b3R(G)":[140],"are":[141,152],"fixed":[142],"(more":[143],"efficiently":[144],"than":[145],"naive":[146],"algorithms).":[147],"Moreover,":[148],"described":[151],"extremely":[153],"simple":[154],"which":[155],"makes":[156],"them":[157],"useful":[158],"practical":[160],"purposes,":[161],"show":[165],"last":[168],"section":[169],"it":[170],"allows":[171],"simplify":[173],"significant":[176],"classes":[177],"cographs.":[180]},"counts_by_year":[],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
