{"id":"https://openalex.org/W2128115606","doi":"https://doi.org/10.1007/s13173-011-0048-0","title":"Determining what sets of trees can be the clique trees of a chordal graph","display_name":"Determining what sets of trees can be the clique trees of a chordal graph","publication_year":2011,"publication_date":"2011-11-21","ids":{"openalex":"https://openalex.org/W2128115606","doi":"https://doi.org/10.1007/s13173-011-0048-0","mag":"2128115606"},"language":"en","primary_location":{"id":"doi:10.1007/s13173-011-0048-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13173-011-0048-0","pdf_url":"https://journal-bcs.springeropen.com/track/pdf/10.1007/s13173-011-0048-0","source":{"id":"https://openalex.org/S69801987","display_name":"Journal of the Brazilian Computer Society","issn_l":"0104-6500","issn":["0104-6500","1678-4804"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Brazilian Computer Society","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://journal-bcs.springeropen.com/track/pdf/10.1007/s13173-011-0048-0","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062750563","display_name":"Pablo De Caria","orcid":"https://orcid.org/0000-0001-9488-1547"},"institutions":[{"id":"https://openalex.org/I874386039","display_name":"Universidad Nacional de La Plata","ror":"https://ror.org/01tjs6929","country_code":"AR","type":"education","lineage":["https://openalex.org/I874386039"]},{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"funder","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]}],"countries":["AR"],"is_corresponding":true,"raw_author_name":"Pablo De Caria","raw_affiliation_strings":["CONICET, Departamento de Matem\u00e1tica, Universidad Nacional de La Plata, La Plata, Argentina","CONICET/Departamento de Matem\u00e1tica, Universidad Nacional de La Plata, La Plata, Argentina"],"affiliations":[{"raw_affiliation_string":"CONICET, Departamento de Matem\u00e1tica, Universidad Nacional de La Plata, La Plata, Argentina","institution_ids":["https://openalex.org/I874386039","https://openalex.org/I151201029"]},{"raw_affiliation_string":"CONICET/Departamento de Matem\u00e1tica, Universidad Nacional de La Plata, La Plata, Argentina","institution_ids":["https://openalex.org/I874386039","https://openalex.org/I151201029"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068547531","display_name":"Marisa Guti\u00e9rrez","orcid":"https://orcid.org/0000-0001-5534-2460"},"institutions":[{"id":"https://openalex.org/I874386039","display_name":"Universidad Nacional de La Plata","ror":"https://ror.org/01tjs6929","country_code":"AR","type":"education","lineage":["https://openalex.org/I874386039"]},{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"funder","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"Marisa Gutierrez","raw_affiliation_strings":["CONICET, Departamento de Matem\u00e1tica, Universidad Nacional de La Plata, La Plata, Argentina","CONICET/Departamento de Matem\u00e1tica, Universidad Nacional de La Plata, La Plata, Argentina"],"affiliations":[{"raw_affiliation_string":"CONICET, Departamento de Matem\u00e1tica, Universidad Nacional de La Plata, La Plata, Argentina","institution_ids":["https://openalex.org/I874386039","https://openalex.org/I151201029"]},{"raw_affiliation_string":"CONICET/Departamento de Matem\u00e1tica, Universidad Nacional de La Plata, La Plata, Argentina","institution_ids":["https://openalex.org/I874386039","https://openalex.org/I151201029"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5062750563"],"corresponding_institution_ids":["https://openalex.org/I151201029","https://openalex.org/I874386039"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.17872272,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"18","issue":"2","first_page":"121","last_page":"128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9919999837875366,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9506999850273132,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.8669878244400024},{"id":"https://openalex.org/keywords/split-graph","display_name":"Split graph","score":0.707548975944519},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7071035504341125},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.637803316116333},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6132080554962158},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5198769569396973},{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.5155210494995117},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.46895378828048706},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4611217677593231},{"id":"https://openalex.org/keywords/interval-graph","display_name":"Interval graph","score":0.4601370394229889},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4555276036262512},{"id":"https://openalex.org/keywords/block-graph","display_name":"Block graph","score":0.4522356390953064},{"id":"https://openalex.org/keywords/clique-sum","display_name":"Clique-sum","score":0.43983006477355957},{"id":"https://openalex.org/keywords/clique-problem","display_name":"Clique problem","score":0.43004846572875977},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.2486317753791809},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.12366130948066711},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.11595943570137024}],"concepts":[{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.8669878244400024},{"id":"https://openalex.org/C8554925","wikidata":"https://www.wikidata.org/wiki/Q3893853","display_name":"Split graph","level":5,"score":0.707548975944519},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7071035504341125},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.637803316116333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6132080554962158},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5198769569396973},{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.5155210494995117},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.46895378828048706},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4611217677593231},{"id":"https://openalex.org/C67810366","wikidata":"https://www.wikidata.org/wiki/Q835942","display_name":"Interval graph","level":5,"score":0.4601370394229889},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4555276036262512},{"id":"https://openalex.org/C43413943","wikidata":"https://www.wikidata.org/wiki/Q4927193","display_name":"Block graph","level":5,"score":0.4522356390953064},{"id":"https://openalex.org/C186942658","wikidata":"https://www.wikidata.org/wiki/Q5134410","display_name":"Clique-sum","level":5,"score":0.43983006477355957},{"id":"https://openalex.org/C150997102","wikidata":"https://www.wikidata.org/wiki/Q1196873","display_name":"Clique problem","level":5,"score":0.43004846572875977},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.2486317753791809},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.12366130948066711},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.11595943570137024}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s13173-011-0048-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13173-011-0048-0","pdf_url":"https://journal-bcs.springeropen.com/track/pdf/10.1007/s13173-011-0048-0","source":{"id":"https://openalex.org/S69801987","display_name":"Journal of the Brazilian Computer Society","issn_l":"0104-6500","issn":["0104-6500","1678-4804"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Brazilian Computer Society","raw_type":"journal-article"},{"id":"pmh:oai:sedici.unlp.edu.ar:10915/97141","is_oa":true,"landing_page_url":"http://sedici.unlp.edu.ar/handle/10915/97141","pdf_url":null,"source":{"id":"https://openalex.org/S4306400803","display_name":"El Servicio de Difusi\u00f3n de la Creaci\u00f3n Intelectual (National University of La Plata)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I874386039","host_organization_name":"Universidad Nacional de La Plata","host_organization_lineage":["https://openalex.org/I874386039"],"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":"reponame:SEDICI (UNLP)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:americanae.aecid.es:3015187","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3015187","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"reponame:CONICET Digital (CONICET)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:americanae.aecid.es:3914171","is_oa":true,"landing_page_url":"http://link.springer.com/article/10.1007%2Fs13173-011-0048-0","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:SEDICI (UNLP)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:ri.conicet.gov.ar:11336/81353","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/81353","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:CONICET Digital (CONICET)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s13173-011-0048-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s13173-011-0048-0","pdf_url":"https://journal-bcs.springeropen.com/track/pdf/10.1007/s13173-011-0048-0","source":{"id":"https://openalex.org/S69801987","display_name":"Journal of the Brazilian Computer Society","issn_l":"0104-6500","issn":["0104-6500","1678-4804"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Brazilian Computer Society","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2128115606.pdf","grobid_xml":"https://content.openalex.org/works/W2128115606.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W144954708","https://openalex.org/W1546874952","https://openalex.org/W1965680834","https://openalex.org/W1978452004","https://openalex.org/W1983186008","https://openalex.org/W2035331304","https://openalex.org/W2046649829","https://openalex.org/W2078394769","https://openalex.org/W2087220179","https://openalex.org/W2100478405","https://openalex.org/W2110693971","https://openalex.org/W2143474538","https://openalex.org/W4242336842"],"related_works":["https://openalex.org/W2219991221","https://openalex.org/W2024727135","https://openalex.org/W1539736381","https://openalex.org/W1995233739","https://openalex.org/W2004663694","https://openalex.org/W77483341","https://openalex.org/W3092261709","https://openalex.org/W1546874952","https://openalex.org/W2110693971","https://openalex.org/W2744198939"],"abstract_inverted_index":{"Abstract":[0],"Chordal":[1],"graphs":[2,175],"have":[3,18],"characteristic":[4],"tree":[5],"representations,":[6],"the":[7,29,51,87,97,105,108,141,173],"clique":[8,67,98,115,156,179],"trees.":[9],"The":[10],"problems":[11],"of":[12,47,66,86,96,100,107,113,124,155,178],"finding":[13],"one":[14],"or":[15,44,76,137,165,189],"enumerating":[16],"them":[17],"already":[19,91],"been":[20],"solved":[21],"in":[22,146],"a":[23,36,61,84,101,135,151],"satisfactory":[24],"way.":[25],"In":[26],"this":[27],"paper,":[28],"following":[30],"related":[31],"problem":[32,142],"is":[33,168],"studied:":[34],"given":[35],"family":[37],"\"Equation":[38,70,159,183],"missing\"<!--":[39,71,160,184],"image":[40,72,161,185],"only,":[41,73,162,186],"no":[42,74,163,187],"MathML":[43,75,164,188],"LaTex":[45,77,166,190],"-->":[46,167,191],"trees,":[48],"all":[49,172],"having":[50],"same":[52],"vertex":[53],"set":[54,65,154,177],"V":[55],",":[56],"determine":[57],"whether":[58],"there":[59],"exists":[60],"chordal":[62,102,174],"graph":[63,103,152],"whose":[64,153],"trees":[68,99,157,180],"equals":[69,158],"-->.":[78],"For":[79],"that":[80,110,134],"purpose,":[81],"we":[82],"undertake":[83],"study":[85],"structural":[88],"properties,":[89],"some":[90,94],"known":[92],"and":[93,104,119,122],"new,":[95],"characteristics":[106],"sets":[109],"induce":[111],"subtrees":[112],"every":[114],"tree.":[116],"Some":[117],"necessary":[118],"sufficient":[120],"conditions":[121],"examples":[123],"how":[125],"they":[126],"can":[127,143],"be":[128,144],"applied":[129],"are":[130,192],"found,":[131],"eventually":[132],"establishing":[133],"positive":[136],"negative":[138],"answer":[139],"to":[140,182],"obtained":[145],"polynomial":[147],"time.":[148],"If":[149],"affirmative,":[150],"also":[169],"obtained.":[170],"Finally,":[171],"with":[176],"equal":[181],"characterized.":[193]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}