{"id":"https://openalex.org/W2093990414","doi":"https://doi.org/10.1002/jgt.3190130610","title":"Domination in graphs with minimum degree two","display_name":"Domination in graphs with minimum degree two","publication_year":1989,"publication_date":"1989-12-01","ids":{"openalex":"https://openalex.org/W2093990414","doi":"https://doi.org/10.1002/jgt.3190130610","mag":"2093990414"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190130610","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5113479227","display_name":"William McCuaig","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":"William McCuaig","raw_affiliation_strings":["DEPARTMENT OF COMBINATORICS AND OPTIMIZATION; UNIVERSITY OF WATERLOO; WATERLOO ONTARIO CANADA"],"affiliations":[{"raw_affiliation_string":"DEPARTMENT OF COMBINATORICS AND OPTIMIZATION; UNIVERSITY OF WATERLOO; WATERLOO ONTARIO CANADA","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044801840","display_name":"F. Bruce Shepherd","orcid":"https://orcid.org/0000-0003-1972-1396"},"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":"Bruce Shepherd","raw_affiliation_strings":["DEPARTMENT OF COMBINATORICS AND OPTIMIZATION; UNIVERSITY OF WATERLOO; WATERLOO ONTARIO CANADA"],"affiliations":[{"raw_affiliation_string":"DEPARTMENT OF COMBINATORICS AND OPTIMIZATION; UNIVERSITY OF WATERLOO; WATERLOO ONTARIO CANADA","institution_ids":["https://openalex.org/I151746483"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3760,"currency":"USD","value_usd":3760,"provenance":"doaj"},"apc_paid":null,"fwci":1.343,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":182,"citation_normalized_percentile":{"value":0.966881,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"13","issue":"6","first_page":"749","last_page":"762"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9996,"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":0.9996,"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":0.9811,"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":0.9604,"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/degree","display_name":"Degree (music)","score":0.53428555},{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.47817856},{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.43052003},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.4249146}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.87456673},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.821589},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6662837},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.53428555},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.52902746},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.47817856},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44992954},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.43052003},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.4249146},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.037514746},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190130610","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":3,"referenced_works":["https://openalex.org/W1566493102","https://openalex.org/W1925349455","https://openalex.org/W4247549312"],"related_works":["https://openalex.org/W4299822763","https://openalex.org/W4235356280","https://openalex.org/W3118953946","https://openalex.org/W30750922","https://openalex.org/W2963404550","https://openalex.org/W2794522194","https://openalex.org/W2763279932","https://openalex.org/W2612157706","https://openalex.org/W2339280209","https://openalex.org/W2033190383"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"domination":[2],"number":[3],"\u03b3(":[4,64,77],"G":[5,10,50,65,78],")":[6,15],"of":[7,20,23,59],"a":[8,21,47],"graph":[9,49],"=":[11],"(":[12],"V,":[13],"E":[14],"is":[16,29,35,56],"the":[17,32,41],"minimum":[18,52],"cardinality":[19],"subset":[22],"V":[24,68,81],"such":[25],"that":[26,45],"every":[27],"vertex":[28,39],"either":[30],"in":[31,40],"set":[33],"or":[34],"adjacent":[36],"to":[37],"some":[38],"set.":[42],"We":[43,70],"show":[44],"if":[46],"connected":[48,74],"has":[51],"degree":[53],"two":[54],"and":[55],"not":[57],"one":[58],"seven":[60],"exceptional":[61],"graphs,":[62],"then":[63],")\u03b3":[66,79],"2/5|":[67,80],"|.":[69,82],"also":[71],"characterize":[72],"those":[73],"graphs":[75],"with":[76]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2093990414","counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":40},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":6}],"updated_date":"2025-01-05T21:59:11.498966","created_date":"2016-06-24"}