{"id":"https://openalex.org/W2810579261","doi":"https://doi.org/10.1051/ro/2018054","title":"Some results on the <i>b</i>-chromatic number in complementary prism graphs","display_name":"Some results on the <i>b</i>-chromatic number in complementary prism graphs","publication_year":2018,"publication_date":"2018-06-29","ids":{"openalex":"https://openalex.org/W2810579261","doi":"https://doi.org/10.1051/ro/2018054","mag":"2810579261"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2018054","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2018054","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"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"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","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/A5055354509","display_name":"Amel Bendali-Braham","orcid":null},"institutions":[{"id":"https://openalex.org/I4210128965","display_name":"University Yahia Fares of Medea","ror":"https://ror.org/02e2yc259","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210128965"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Amel Bendali-Braham","raw_affiliation_strings":["Laboratory of Mechanics, Physics and Mathematical Modeling Faculty of Sciences, University of M\u00e9d\u00e9a, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Mechanics, Physics and Mathematical Modeling Faculty of Sciences, University of M\u00e9d\u00e9a, Algeria","institution_ids":["https://openalex.org/I4210128965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114032358","display_name":"Noureddine Ikhlef-Eschouf","orcid":null},"institutions":[{"id":"https://openalex.org/I4210128965","display_name":"University Yahia Fares of Medea","ror":"https://ror.org/02e2yc259","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210128965"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Noureddine Ikhlef-Eschouf","raw_affiliation_strings":["Department of Mathematics and Computer Science Faculty of Sciences, University of M\u00e9d\u00e9a, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science Faculty of Sciences, University of M\u00e9d\u00e9a, Algeria","institution_ids":["https://openalex.org/I4210128965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085691353","display_name":"Mostafa Blidia","orcid":null},"institutions":[{"id":"https://openalex.org/I4210128965","display_name":"University Yahia Fares of Medea","ror":"https://ror.org/02e2yc259","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210128965"]},{"id":"https://openalex.org/I83332908","display_name":"University of Blida","ror":"https://ror.org/03g41pw14","country_code":"DZ","type":"education","lineage":["https://openalex.org/I83332908"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Mostafa Blidia","raw_affiliation_strings":["Department of Mathematics and Computer Science Faculty of Sciences, University of M\u00e9d\u00e9a, Algeria","LAMDA-RO Laboratory Department of Mathematics, University of Blida 1, B.P. 270 Blida, Algeria","Laboratory of Mechanics, Physics and Mathematical Modeling Faculty of Sciences, University of M\u00e9d\u00e9a, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science Faculty of Sciences, University of M\u00e9d\u00e9a, Algeria","institution_ids":["https://openalex.org/I4210128965"]},{"raw_affiliation_string":"LAMDA-RO Laboratory Department of Mathematics, University of Blida 1, B.P. 270 Blida, Algeria","institution_ids":["https://openalex.org/I83332908"]},{"raw_affiliation_string":"Laboratory of Mechanics, Physics and Mathematical Modeling Faculty of Sciences, University of M\u00e9d\u00e9a, Algeria","institution_ids":["https://openalex.org/I4210128965"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.206,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.54290258,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"53","issue":"4","first_page":"1187","last_page":"1195"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9994000196456909,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9994000196456909,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9984999895095825,"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":0.9884999990463257,"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/combinatorics","display_name":"Combinatorics","score":0.8281077146530151},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.7409168481826782},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.6141671538352966},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6139695644378662},{"id":"https://openalex.org/keywords/brooks-theorem","display_name":"Brooks' theorem","score":0.6049526333808899},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5873240232467651},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.5745439529418945},{"id":"https://openalex.org/keywords/complete-coloring","display_name":"Complete coloring","score":0.5622105002403259},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.49681809544563293},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4898171126842499},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37742412090301514},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.14742827415466309},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.14268401265144348},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.12172242999076843},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.0573311448097229}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8281077146530151},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.7409168481826782},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.6141671538352966},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6139695644378662},{"id":"https://openalex.org/C51658606","wikidata":"https://www.wikidata.org/wiki/Q512897","display_name":"Brooks' theorem","level":5,"score":0.6049526333808899},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5873240232467651},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.5745439529418945},{"id":"https://openalex.org/C21642379","wikidata":"https://www.wikidata.org/wiki/Q3342988","display_name":"Complete coloring","level":5,"score":0.5622105002403259},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.49681809544563293},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4898171126842499},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37742412090301514},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.14742827415466309},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.14268401265144348},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.12172242999076843},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0573311448097229}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ro/2018054","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2018054","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868","2804-7303"],"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"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:numdam.org:RO_2019__53_4_1187_0","is_oa":false,"landing_page_url":"https://www.numdam.org/articles/10.1051/ro/2018054/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1500832959","https://openalex.org/W1818012002","https://openalex.org/W1934376819","https://openalex.org/W1983141456","https://openalex.org/W2000838329","https://openalex.org/W2024935558","https://openalex.org/W2030051419","https://openalex.org/W2030946812","https://openalex.org/W2034589354","https://openalex.org/W2038387047","https://openalex.org/W2044978782","https://openalex.org/W2049829275","https://openalex.org/W2055357079","https://openalex.org/W2065078803","https://openalex.org/W2067839918","https://openalex.org/W2077962368","https://openalex.org/W2091676640","https://openalex.org/W2185096230","https://openalex.org/W2293240310","https://openalex.org/W2314455214","https://openalex.org/W2582002003","https://openalex.org/W2760286125"],"related_works":["https://openalex.org/W4311345810","https://openalex.org/W398688634","https://openalex.org/W3169197204","https://openalex.org/W4229747356","https://openalex.org/W2380525562","https://openalex.org/W4320918672","https://openalex.org/W4297911588","https://openalex.org/W1542397451","https://openalex.org/W2585997002","https://openalex.org/W133702489"],"abstract_inverted_index":{"A":[0],"b":[1,38,51,64],"-coloring":[2,52,65],"of":[3,11,32],"a":[4,8,22,50],"graph":[5],"G":[6,12,48],"is":[7,25,41],"proper":[9],"coloring":[10],"with":[13,53],"k":[14,45,54],"colors":[15],"such":[16],"that":[17,24],"each":[18],"color":[19,35],"class":[20],"has":[21,49],"vertex":[23,31],"adjacent":[26],"to":[27],"at":[28],"least":[29],"one":[30],"every":[33],"other":[34],"classes.":[36],"The":[37],"-chromatic":[39],"number":[40],"the":[42],"largest":[43],"integer":[44],"for":[46],"which":[47],"colors.":[55],"In":[56],"this":[57],"paper,":[58],"we":[59],"present":[60],"some":[61],"results":[62],"on":[63],"in":[66],"complementary":[67],"prism":[68],"graphs.":[69]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-07T06:14:10.401900","created_date":"2018-07-10T00:00:00"}