{"id":"https://openalex.org/W1993482781","doi":"https://doi.org/10.1016/0012-365x(90)90220-c","title":"On the number of distinct minimal clique partitions and clique covers of a line graph","display_name":"On the number of distinct minimal clique partitions and clique covers of a line graph","publication_year":1990,"publication_date":"1990-07-01","ids":{"openalex":"https://openalex.org/W1993482781","doi":"https://doi.org/10.1016/0012-365x(90)90220-c","mag":"1993482781"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(90)90220-c","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(90)90220-c","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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/A5071103958","display_name":"Sean McGuinness","orcid":"https://orcid.org/0000-0001-7017-7723"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Sean McGuinness","raw_affiliation_strings":["Combinatorics and Optimization University of Waterloo, Waterloo, Ont., Canada N2L 3G1"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Combinatorics and Optimization University of Waterloo, Waterloo, Ont., Canada N2L 3G1","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111806443","display_name":"Rolf S. Rees","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Rolf Rees","raw_affiliation_strings":["Combinatorics and Optimization University of Waterloo, Waterloo, Ont., Canada N2L 3G1"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Combinatorics and Optimization University of Waterloo, Waterloo, Ont., Canada N2L 3G1","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":{"value":3320,"currency":"USD","value_usd":3320},"apc_paid":null,"fwci":0.4719,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.58481878,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"83","issue":"1","first_page":"49","last_page":"62"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.996999979019165,"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"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9955000281333923,"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/mathematics","display_name":"Mathematics","score":0.8297381401062012},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7810446619987488},{"id":"https://openalex.org/keywords/clique-graph","display_name":"Clique graph","score":0.7708899974822998},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.6638615131378174},{"id":"https://openalex.org/keywords/simplex-graph","display_name":"Simplex graph","score":0.6221569180488586},{"id":"https://openalex.org/keywords/split-graph","display_name":"Split graph","score":0.6133919358253479},{"id":"https://openalex.org/keywords/block-graph","display_name":"Block graph","score":0.6079666614532471},{"id":"https://openalex.org/keywords/clique-number","display_name":"Clique number","score":0.5914121866226196},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.53675377368927},{"id":"https://openalex.org/keywords/clique-sum","display_name":"Clique-sum","score":0.5252049565315247},{"id":"https://openalex.org/keywords/clique-problem","display_name":"Clique problem","score":0.4413108825683594},{"id":"https://openalex.org/keywords/perfect-graph","display_name":"Perfect graph","score":0.43527644872665405},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4283188581466675},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.3760020136833191},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.18233805894851685},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.08132407069206238}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8297381401062012},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7810446619987488},{"id":"https://openalex.org/C189239283","wikidata":"https://www.wikidata.org/wiki/Q17101022","display_name":"Clique graph","level":5,"score":0.7708899974822998},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.6638615131378174},{"id":"https://openalex.org/C202183611","wikidata":"https://www.wikidata.org/wiki/Q7520883","display_name":"Simplex graph","level":5,"score":0.6221569180488586},{"id":"https://openalex.org/C8554925","wikidata":"https://www.wikidata.org/wiki/Q3893853","display_name":"Split graph","level":5,"score":0.6133919358253479},{"id":"https://openalex.org/C43413943","wikidata":"https://www.wikidata.org/wiki/Q4927193","display_name":"Block graph","level":5,"score":0.6079666614532471},{"id":"https://openalex.org/C2985491264","wikidata":"https://www.wikidata.org/wiki/Q761631","display_name":"Clique number","level":3,"score":0.5914121866226196},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.53675377368927},{"id":"https://openalex.org/C186942658","wikidata":"https://www.wikidata.org/wiki/Q5134410","display_name":"Clique-sum","level":5,"score":0.5252049565315247},{"id":"https://openalex.org/C150997102","wikidata":"https://www.wikidata.org/wiki/Q1196873","display_name":"Clique problem","level":5,"score":0.4413108825683594},{"id":"https://openalex.org/C32972407","wikidata":"https://www.wikidata.org/wiki/Q1187620","display_name":"Perfect graph","level":5,"score":0.43527644872665405},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4283188581466675},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.3760020136833191},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.18233805894851685},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.08132407069206238}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(90)90220-c","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(90)90220-c","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1970804184","https://openalex.org/W2010142885","https://openalex.org/W2116453796","https://openalex.org/W2134754301","https://openalex.org/W4231597948"],"related_works":["https://openalex.org/W1783742161","https://openalex.org/W4213050588","https://openalex.org/W2963027418","https://openalex.org/W2085971773","https://openalex.org/W2133128623","https://openalex.org/W2186006531","https://openalex.org/W1544712886","https://openalex.org/W2100046607","https://openalex.org/W2067182946","https://openalex.org/W1993482781"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}