{"id":"https://openalex.org/W2015769804","doi":"https://doi.org/10.1002/jgt.3190110405","title":"Four classes of perfectly orderable graphs","display_name":"Four classes of perfectly orderable graphs","publication_year":1987,"publication_date":"1987-12-01","ids":{"openalex":"https://openalex.org/W2015769804","doi":"https://doi.org/10.1002/jgt.3190110405","mag":"2015769804"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190110405","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190110405","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/88550","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111486123","display_name":"Va\u0161ek Chv\u00e1tal","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"V. Chv\u00e1tal","raw_affiliation_strings":["Department of Computer Science Rutgers University New Brunswick, New Jersey 08903","Department of Computer Science, Rutgers University, New Brunswick, New Jersey 08903"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science Rutgers University New Brunswick, New Jersey 08903","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Department of Computer Science, Rutgers University, New Brunswick, New Jersey 08903","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088012278","display_name":"Ch\u0131\u0301nh T. Ho\u00e0ng","orcid":"https://orcid.org/0000-0001-6782-1194"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. T. Ho\u00e0ng","raw_affiliation_strings":["Department of Computer Science Rutgers University New Brunswick, New Jersey 08903","Department of Computer Science, Rutgers University, New Brunswick, New Jersey 08903"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science Rutgers University New Brunswick, New Jersey 08903","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Department of Computer Science, Rutgers University, New Brunswick, New Jersey 08903","institution_ids":["https://openalex.org/I102322142"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034208426","display_name":"N. V. R. Mahadev","orcid":null},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"N. V. R. Mahadev","raw_affiliation_strings":["Department of Mathematics Northeastern University Boston, Massachusetts 02115","Department of Mathematics, Northeastern University, Boston, Massachusetts, 02115#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Northeastern University Boston, Massachusetts 02115","institution_ids":["https://openalex.org/I12912129"]},{"raw_affiliation_string":"Department of Mathematics, Northeastern University, Boston, Massachusetts, 02115#TAB#","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113455966","display_name":"D. de Werra","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"D. De Werra","raw_affiliation_strings":["De\u0301partement Mathe\u0301matiques E\u0301cole Polytechnique Fe\u0301de\u0301rale DE Lausanne Ecublens CH-1015 Lausanne, Switzerland","D\u00e9partement Math\u00e9matiques \u00c9cole Polytechnique F\u00e9d\u00e9rale DE Lausanne Ecublens CH\u20101015 Lausanne, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"De\u0301partement Mathe\u0301matiques E\u0301cole Polytechnique Fe\u0301de\u0301rale DE Lausanne Ecublens CH-1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"D\u00e9partement Math\u00e9matiques \u00c9cole Polytechnique F\u00e9d\u00e9rale DE Lausanne Ecublens CH\u20101015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":10.5492,"has_fulltext":false,"cited_by_count":127,"citation_normalized_percentile":{"value":0.9894775,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"11","issue":"4","first_page":"481","last_page":"495"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9983999729156494,"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":0.9983999729156494,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9977999925613403,"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/T12401","display_name":"Scheduling and Timetabling Solutions","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.843399167060852},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7775881290435791},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.6794678568840027},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.6202645301818848},{"id":"https://openalex.org/keywords/cograph","display_name":"Cograph","score":0.577528178691864},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5124760270118713},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.5069854259490967},{"id":"https://openalex.org/keywords/split-graph","display_name":"Split graph","score":0.48038655519485474},{"id":"https://openalex.org/keywords/clique-sum","display_name":"Clique-sum","score":0.4634172320365906},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.45951974391937256},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.3685486316680908},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3525047302246094},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.19839945435523987}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.843399167060852},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7775881290435791},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.6794678568840027},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.6202645301818848},{"id":"https://openalex.org/C59824394","wikidata":"https://www.wikidata.org/wiki/Q5141281","display_name":"Cograph","level":5,"score":0.577528178691864},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5124760270118713},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.5069854259490967},{"id":"https://openalex.org/C8554925","wikidata":"https://www.wikidata.org/wiki/Q3893853","display_name":"Split graph","level":5,"score":0.48038655519485474},{"id":"https://openalex.org/C186942658","wikidata":"https://www.wikidata.org/wiki/Q5134410","display_name":"Clique-sum","level":5,"score":0.4634172320365906},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.45951974391937256},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.3685486316680908},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3525047302246094},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.19839945435523987}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/jgt.3190110405","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190110405","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"},{"id":"pmh:oai:infoscience.epfl.ch:88550","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/88550","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:88550","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/88550","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310638","display_name":"McGill University","ror":"https://ror.org/01pxwe438"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W119366631","https://openalex.org/W163386900","https://openalex.org/W198869600","https://openalex.org/W1655990431","https://openalex.org/W1968161962","https://openalex.org/W2012329067","https://openalex.org/W2015309580","https://openalex.org/W2054145937","https://openalex.org/W2090739085","https://openalex.org/W2094122556","https://openalex.org/W2094224753","https://openalex.org/W2108301529","https://openalex.org/W2143474538","https://openalex.org/W2314893179","https://openalex.org/W4213116309","https://openalex.org/W4239569302","https://openalex.org/W4254807835"],"related_works":["https://openalex.org/W4287179103","https://openalex.org/W2154914679","https://openalex.org/W4292258317","https://openalex.org/W2003031589","https://openalex.org/W2293414251","https://openalex.org/W2898526288","https://openalex.org/W2607123191","https://openalex.org/W2061237693","https://openalex.org/W2042018534","https://openalex.org/W1578113210"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"graph":[2,88],"is":[3,43],"called":[4],"\u201cperfectly":[5],"orderable\u201d":[6],"if":[7],"its":[8],"vertices":[9],"can":[10,99],"be":[11],"ordered":[12],"in":[13,73,82,108],"such":[14],"a":[15,24,83,101,109],"way":[16],"that,":[17],"for":[18],"each":[19,74],"induced":[20],"subgraph":[21],"F":[22,34],",":[23],"certain":[25],"\u201cgreedy\u201d":[26],"coloring":[27,32,107],"heuristic":[28],"delivers":[29],"an":[30,105],"optimal":[31,106],"of":[33,49,60,68,75,93],".":[35],"No":[36],"polynomial\u2010time":[37],"algorithm":[38],"to":[39,91],"recognize":[40],"these":[41],"graphs":[42,59],"known.":[44],"We":[45],"present":[46],"four":[47],"classes":[48,79],"perfectly":[50],"orderable":[51],"graphs:":[52],"Welsh\u2013Powell":[53],"perfect":[54,57],"graphs,":[55,58],"Matula":[56],"Dilworth":[61],"number":[62],"at":[63],"most":[64],"three,":[65],"and":[66,104],"unions":[67],"two":[69,96],"threshold":[70],"graphs.":[71],"Graphs":[72],"the":[76,94],"first":[77,95],"three":[78],"are":[80],"recognizable":[81],"polynomial":[84],"time.":[85,111],"In":[86],"every":[87],"that":[89],"belongs":[90],"one":[92],"classes,":[97],"we":[98],"find":[100],"largest":[102],"clique":[103],"linear":[110]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}