{"id":"https://openalex.org/W2022499468","doi":"https://doi.org/10.1142/s0129054199000241","title":"ON THE CLIQUE\u2013WIDTH OF GRAPH WITH FEW P<sub>4</sub>'S","display_name":"ON THE CLIQUE\u2013WIDTH OF GRAPH WITH FEW P<sub>4</sub>'S","publication_year":1999,"publication_date":"1999-09-01","ids":{"openalex":"https://openalex.org/W2022499468","doi":"https://doi.org/10.1142/s0129054199000241","mag":"2022499468"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054199000241","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054199000241","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023132511","display_name":"Janos A. Makowsky","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"J. A. MAKOWSKY","raw_affiliation_strings":["Department of Computer Science, Technion-Israel Institute of Technology, 32000 Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technion-Israel Institute of Technology, 32000 Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069504394","display_name":"Udi Rotics","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"U. ROTICS","raw_affiliation_strings":["Department of Computer Science, Technion-Israel Institute of Technology, 32000 Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technion-Israel Institute of Technology, 32000 Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":5.8176,"has_fulltext":false,"cited_by_count":85,"citation_normalized_percentile":{"value":0.9609496,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"10","issue":"03","first_page":"329","last_page":"348"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":1.0,"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":1.0,"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":0.9997000098228455,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8720542192459106},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6845779418945312},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5456339716911316},{"id":"https://openalex.org/keywords/clique-sum","display_name":"Clique-sum","score":0.5413960218429565},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.524997353553772},{"id":"https://openalex.org/keywords/treewidth","display_name":"Treewidth","score":0.52247154712677},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.5078237652778625},{"id":"https://openalex.org/keywords/split-graph","display_name":"Split graph","score":0.4839320778846741},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4485883414745331},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4457050561904907},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.3501743972301483},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.29262787103652954},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.10592919588088989}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8720542192459106},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6845779418945312},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5456339716911316},{"id":"https://openalex.org/C186942658","wikidata":"https://www.wikidata.org/wiki/Q5134410","display_name":"Clique-sum","level":5,"score":0.5413960218429565},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.524997353553772},{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.52247154712677},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.5078237652778625},{"id":"https://openalex.org/C8554925","wikidata":"https://www.wikidata.org/wiki/Q3893853","display_name":"Split graph","level":5,"score":0.4839320778846741},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4485883414745331},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4457050561904907},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.3501743972301483},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.29262787103652954},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.10592919588088989},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054199000241","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054199000241","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W22831093","https://openalex.org/W194395729","https://openalex.org/W1576293797","https://openalex.org/W1972417560","https://openalex.org/W1985562179","https://openalex.org/W2014488291","https://openalex.org/W2028775537","https://openalex.org/W2035344492","https://openalex.org/W2038893115","https://openalex.org/W2054963334","https://openalex.org/W2145937415","https://openalex.org/W2167407053","https://openalex.org/W2436245308"],"related_works":["https://openalex.org/W1544821268","https://openalex.org/W4289672287","https://openalex.org/W2888394449","https://openalex.org/W2963574048","https://openalex.org/W3037533092","https://openalex.org/W1480846237","https://openalex.org/W4288422263","https://openalex.org/W2061237693","https://openalex.org/W4287117052","https://openalex.org/W4309201386"],"abstract_inverted_index":{"Babel":[0],"and":[1,38,77,99,131],"Olariu":[2],"(1995)":[3],"introduced":[4,34],"the":[5,63,66,111,117,132],"class":[6,118,133],"of":[7,15,28,65,75,119,134,146],"(q,":[8,67,86,120,135],"t)":[9,68],"graphs":[10,42,124,139],"in":[11,107],"which":[12,43,53],"every":[13,85],"set":[14],"q":[16,76,87,92,98,121,128,136,141],"vertices":[17],"has":[18,95],"at":[19,30],"most":[20,31],"t":[21],"distinct":[22],"induced":[23],"P":[24],"4":[25,126,143],"s.":[26],"Graphs":[27],"clique-width":[29],"k":[32,55],"were":[33],"by":[35,47],"Courcelle,":[36],"Engelfriet":[37],"Rozenberg":[39],"(1993)":[40],"as":[41],"can":[44,104],"be":[45,105],"defined":[46],"k-expressions":[48],"based":[49],"on":[50],"graph":[51,90],"operations":[52],"use":[54],"vertex":[56],"labels.":[57],"In":[58],"this":[59],"paper":[60],"we":[61,82,114],"study":[62],"clique\u2013width":[64,96],"graphs,":[69],"for":[70,91,125,140],"almost":[71],"all":[72],"possible":[73],"combinations":[74],"t.":[78],"On":[79,110],"one":[80],"hand":[81,113],"show":[83,115],"that":[84,116],"-":[88,122,137],"3)":[89,123],"\u2265":[93,142],"7,":[94],"\u2264":[97,127,129],"a":[100],"q\u2013expression":[101],"defining":[102],"it":[103],"obtained":[106],"linear":[108],"time.":[109],"other":[112],"6":[130],"1)":[138],"are":[144],"not":[145],"bounded":[147],"clique-width.":[148]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
