{"id":"https://openalex.org/W2036945144","doi":"https://doi.org/10.1016/0012-365x(84)90145-6","title":"A note on total domination","display_name":"A note on total domination","publication_year":1984,"publication_date":"1984-03-01","ids":{"openalex":"https://openalex.org/W2036945144","doi":"https://doi.org/10.1016/0012-365x(84)90145-6","mag":"2036945144"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(84)90145-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(84)90145-6","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/A5025631675","display_name":"R. B. Allan","orcid":null},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert B Allan","raw_affiliation_strings":["Clemson University, Clemson, SC 29631, USA","Clemson University Clemson, SC 29631, USA"],"affiliations":[{"raw_affiliation_string":"Clemson University, Clemson, SC 29631, USA","institution_ids":["https://openalex.org/I8078737"]},{"raw_affiliation_string":"Clemson University Clemson, SC 29631, USA","institution_ids":["https://openalex.org/I8078737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032479312","display_name":"Renu Laskar","orcid":null},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Renu Laskar","raw_affiliation_strings":["Clemson University, Clemson, SC 29631, USA","Clemson University Clemson, SC 29631, USA"],"affiliations":[{"raw_affiliation_string":"Clemson University, Clemson, SC 29631, USA","institution_ids":["https://openalex.org/I8078737"]},{"raw_affiliation_string":"Clemson University Clemson, SC 29631, USA","institution_ids":["https://openalex.org/I8078737"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111934510","display_name":"Stephen T. Hedetniemi","orcid":null},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stephen Hedetniemi","raw_affiliation_strings":["Clemson University, Clemson, SC 29631, USA","Clemson University Clemson, SC 29631, USA"],"affiliations":[{"raw_affiliation_string":"Clemson University, Clemson, SC 29631, USA","institution_ids":["https://openalex.org/I8078737"]},{"raw_affiliation_string":"Clemson University Clemson, SC 29631, USA","institution_ids":["https://openalex.org/I8078737"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025631675"],"corresponding_institution_ids":["https://openalex.org/I8078737"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.18022697,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"49","issue":"1","first_page":"7","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9991999864578247,"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":0.9991999864578247,"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/T11476","display_name":"Graph theory and applications","score":0.9878000020980835,"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"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.967199981212616,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8446453213691711},{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.8189276456832886},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7464699745178223},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5937546491622925},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3422977328300476},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.15936937928199768}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8446453213691711},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.8189276456832886},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7464699745178223},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5937546491622925},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3422977328300476},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.15936937928199768}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(84)90145-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(84)90145-6","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":17,"referenced_works":["https://openalex.org/W626646023","https://openalex.org/W1068061267","https://openalex.org/W1514282523","https://openalex.org/W1530753374","https://openalex.org/W1533046786","https://openalex.org/W1566493102","https://openalex.org/W1997787124","https://openalex.org/W1999667176","https://openalex.org/W2019262465","https://openalex.org/W2066561381","https://openalex.org/W2322463788","https://openalex.org/W2577446513","https://openalex.org/W2588591072","https://openalex.org/W2784835807","https://openalex.org/W4256232319","https://openalex.org/W6633899791","https://openalex.org/W6747635633"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W1976691234","https://openalex.org/W4297837079","https://openalex.org/W2963176699","https://openalex.org/W4205905997","https://openalex.org/W2986400025","https://openalex.org/W2349109195","https://openalex.org/W2069797780","https://openalex.org/W4297965885","https://openalex.org/W2078360221"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}