{"id":"https://openalex.org/W3044961202","doi":"https://doi.org/10.1142/s1793830920500664","title":"Clique doubly connected domination in the join and lexicographic product of graphs","display_name":"Clique doubly connected domination in the join and lexicographic product of graphs","publication_year":2020,"publication_date":"2020-07-22","ids":{"openalex":"https://openalex.org/W3044961202","doi":"https://doi.org/10.1142/s1793830920500664","mag":"3044961202"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830920500664","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500664","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5019932260","display_name":"Enrico L. Enriquez","orcid":"https://orcid.org/0000-0002-1521-156X"},"institutions":[{"id":"https://openalex.org/I617233","display_name":"University of San Carlos","ror":"https://ror.org/041jw5813","country_code":"PH","type":"education","lineage":["https://openalex.org/I617233"]}],"countries":["PH"],"is_corresponding":true,"raw_author_name":"Enrico L. Enriquez","raw_affiliation_strings":["Department of Computer, Information Sciences and Mathematics, School of Arts and Sciences, University of San Carlos, 6000 Cebu City, Philippines"],"raw_orcid":"https://orcid.org/0000-0002-1521-156X","affiliations":[{"raw_affiliation_string":"Department of Computer, Information Sciences and Mathematics, School of Arts and Sciences, University of San Carlos, 6000 Cebu City, Philippines","institution_ids":["https://openalex.org/I617233"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080903653","display_name":"Albert D. Ngujo","orcid":null},"institutions":[{"id":"https://openalex.org/I617233","display_name":"University of San Carlos","ror":"https://ror.org/041jw5813","country_code":"PH","type":"education","lineage":["https://openalex.org/I617233"]}],"countries":["PH"],"is_corresponding":false,"raw_author_name":"Albert D. Ngujo","raw_affiliation_strings":["Department of Computer, Information Sciences and Mathematics, School of Arts and Sciences, University of San Carlos, 6000 Cebu City, Philippines"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer, Information Sciences and Mathematics, School of Arts and Sciences, University of San Carlos, 6000 Cebu City, Philippines","institution_ids":["https://openalex.org/I617233"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019932260"],"corresponding_institution_ids":["https://openalex.org/I617233"],"apc_list":null,"apc_paid":null,"fwci":0.7226,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.76844065,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"12","issue":"05","first_page":"2050066","last_page":"2050066"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9506999850273132,"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":0.9506999850273132,"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/combinatorics","display_name":"Combinatorics","score":0.826766312122345},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7498253583908081},{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.6999692916870117},{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.6890187859535217},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5963348746299744},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.5270999670028687},{"id":"https://openalex.org/keywords/connected-component","display_name":"Connected component","score":0.4706149697303772},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46066394448280334},{"id":"https://openalex.org/keywords/join","display_name":"Join (topology)","score":0.449042946100235},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3814387321472168}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.826766312122345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7498253583908081},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.6999692916870117},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.6890187859535217},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5963348746299744},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.5270999670028687},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.4706149697303772},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46066394448280334},{"id":"https://openalex.org/C2776124973","wikidata":"https://www.wikidata.org/wiki/Q3183033","display_name":"Join (topology)","level":2,"score":0.449042946100235},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3814387321472168}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830920500664","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500664","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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":8,"referenced_works":["https://openalex.org/W354871945","https://openalex.org/W1967490291","https://openalex.org/W2520835446","https://openalex.org/W2523046446","https://openalex.org/W2980191355","https://openalex.org/W2982400791","https://openalex.org/W2983527869","https://openalex.org/W2985636424"],"related_works":["https://openalex.org/W1993634787","https://openalex.org/W3125614403","https://openalex.org/W4400317913","https://openalex.org/W2476923378","https://openalex.org/W4366983102","https://openalex.org/W382238848","https://openalex.org/W938667614","https://openalex.org/W3169291595","https://openalex.org/W2888525107","https://openalex.org/W2801331961"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,11,26,30,38,45,52,58,63,72,76,87,97,107,112,126,130],"see":[2,12,27,31,39,46,53,59,64,73,77,88,98,108,113,127,131],"text]":[3,13,28,32,40,47,54,60,65,74,78,89,128],"be":[4],"a":[5,15,49,80,91,120],"connected":[6,17,83,93,103,123,144,151],"simple":[7],"graph.":[8],"A":[9,35,68],"set":[10,19,44,71,85,95,125,146],"is":[14,22,48,66,79,90,115],"doubly":[16,82,92,102,122,143,150],"dominating":[18,23,70,84,94,124,145],"if":[20,55,86],"it":[21],"and":[24,29,147],"both":[25],"are":[33],"connected.":[34],"nonempty":[36],"subset":[37],"of":[41,75,96,106,119,129,140,160],"the":[42,56,116,138,141,148,155],"vertex":[43],"clique":[50,69,81,101,121,142,149],"in":[51,154],"graph":[57],"induced":[61],"by":[62,111],"complete.":[67],"text].":[99,132],"The":[100],"domination":[104,152],"number":[105,153],"text],":[109,114],"denoted":[110],"smallest":[117],"cardinality":[118],"In":[133],"this":[134],"paper,":[135],"we":[136],"give":[137],"characterization":[139],"join":[156],"(and":[157],"lexicographic":[158],"product)":[159],"two":[161],"graphs.":[162]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}