{"id":"https://openalex.org/W1978165383","doi":"https://doi.org/10.1016/0012-365x(80)90110-7","title":"Minimum graphs with complete k-closure","display_name":"Minimum graphs with complete k-closure","publication_year":1980,"publication_date":"1980-01-01","ids":{"openalex":"https://openalex.org/W1978165383","doi":"https://doi.org/10.1016/0012-365x(80)90110-7","mag":"1978165383"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(80)90110-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(80)90110-7","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/A5016482411","display_name":"Lane Clark","orcid":null},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"L. Clark","raw_affiliation_strings":["Department of Mathematics and Statistics University of New Mexico, Albuquerque, NM 87131, USA","Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics University of New Mexico, Albuquerque, NM 87131, USA","institution_ids":["https://openalex.org/I169521973"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131, USA","institution_ids":["https://openalex.org/I169521973"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002305154","display_name":"R. C. Entringer","orcid":null},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R.C. Entringer","raw_affiliation_strings":["Department of Mathematics and Statistics University of New Mexico, Albuquerque, NM 87131, USA","Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics University of New Mexico, Albuquerque, NM 87131, USA","institution_ids":["https://openalex.org/I169521973"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131, USA","institution_ids":["https://openalex.org/I169521973"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059160317","display_name":"Dennis Jackson","orcid":"https://orcid.org/0000-0003-3067-7816"},"institutions":[{"id":"https://openalex.org/I163113649","display_name":"Eastern New Mexico University","ror":"https://ror.org/02xag2b27","country_code":"US","type":"education","lineage":["https://openalex.org/I163113649"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D.E. Jackson","raw_affiliation_strings":["Department of Computing Science and Statistics, Eastern New Mexico University, Portales, NM 88131, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computing Science and Statistics, Eastern New Mexico University, Portales, NM 88131, USA","institution_ids":["https://openalex.org/I163113649"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5016482411"],"corresponding_institution_ids":["https://openalex.org/I169521973"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.11213353,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"30","issue":"2","first_page":"95","last_page":"101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9998999834060669,"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/T11476","display_name":"Graph theory and applications","score":0.9998999834060669,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8566045761108398},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8254752159118652},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.6802499890327454},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5425889492034912},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5255951881408691}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8566045761108398},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8254752159118652},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.6802499890327454},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5425889492034912},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5255951881408691},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(80)90110-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(80)90110-7","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":6,"referenced_works":["https://openalex.org/W1484040084","https://openalex.org/W1971367602","https://openalex.org/W2000467025","https://openalex.org/W2000934872","https://openalex.org/W2035089435","https://openalex.org/W4300303686"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
