{"id":"https://openalex.org/W3038369303","doi":"https://doi.org/10.1142/s1793830920500846","title":"Restrained geodetic domination in graphs","display_name":"Restrained geodetic domination in graphs","publication_year":2020,"publication_date":"2020-06-29","ids":{"openalex":"https://openalex.org/W3038369303","doi":"https://doi.org/10.1142/s1793830920500846","mag":"3038369303"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830920500846","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500846","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/A5021300687","display_name":"John Joy Mulloor","orcid":"https://orcid.org/0000-0003-2370-8602"},"institutions":[{"id":"https://openalex.org/I48018076","display_name":"Christ University","ror":"https://ror.org/022tv9y30","country_code":"IN","type":"education","lineage":["https://openalex.org/I48018076"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"John Joy Mulloor","raw_affiliation_strings":["Department of Mathematics, CHRIST (Deemed to be University), Bengaluru 560029, India"],"raw_orcid":"https://orcid.org/0000-0003-2370-8602","affiliations":[{"raw_affiliation_string":"Department of Mathematics, CHRIST (Deemed to be University), Bengaluru 560029, India","institution_ids":["https://openalex.org/I48018076"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006103120","display_name":"V. Sangeetha","orcid":"https://orcid.org/0000-0001-9599-7197"},"institutions":[{"id":"https://openalex.org/I48018076","display_name":"Christ University","ror":"https://ror.org/022tv9y30","country_code":"IN","type":"education","lineage":["https://openalex.org/I48018076"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"V. Sangeetha","raw_affiliation_strings":["Department of Mathematics, CHRIST (Deemed to be University), Bengaluru 560029, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, CHRIST (Deemed to be University), Bengaluru 560029, India","institution_ids":["https://openalex.org/I48018076"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021300687"],"corresponding_institution_ids":["https://openalex.org/I48018076"],"apc_list":null,"apc_paid":null,"fwci":0.7226,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.76661237,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"12","issue":"06","first_page":"2050084","last_page":"2050084"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9886000156402588,"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":0.9886000156402588,"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/cartesian-product","display_name":"Cartesian product","score":0.7589093446731567},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7514426708221436},{"id":"https://openalex.org/keywords/geodetic-datum","display_name":"Geodetic datum","score":0.7217874526977539},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6699662804603577},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5963830947875977},{"id":"https://openalex.org/keywords/dominating-set","display_name":"Dominating set","score":0.5668377876281738},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46002641320228577},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3979836702346802},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.09279370307922363},{"id":"https://openalex.org/keywords/geodesy","display_name":"Geodesy","score":0.07644173502922058}],"concepts":[{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.7589093446731567},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7514426708221436},{"id":"https://openalex.org/C58754882","wikidata":"https://www.wikidata.org/wiki/Q1502887","display_name":"Geodetic datum","level":2,"score":0.7217874526977539},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6699662804603577},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5963830947875977},{"id":"https://openalex.org/C146661039","wikidata":"https://www.wikidata.org/wiki/Q2915204","display_name":"Dominating set","level":4,"score":0.5668377876281738},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46002641320228577},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3979836702346802},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.09279370307922363},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.07644173502922058}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830920500846","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500846","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1493071618","https://openalex.org/W2027114694","https://openalex.org/W2033024875","https://openalex.org/W2038715674","https://openalex.org/W2059986619","https://openalex.org/W2088964265","https://openalex.org/W2169204877","https://openalex.org/W2607278467","https://openalex.org/W4239089288"],"related_works":["https://openalex.org/W1464226492","https://openalex.org/W2738565459","https://openalex.org/W2383940412","https://openalex.org/W2235657338","https://openalex.org/W2054696976","https://openalex.org/W2246863862","https://openalex.org/W2794522194","https://openalex.org/W2601261221","https://openalex.org/W4283726592","https://openalex.org/W1885115167"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,10,16,23,29,33,47,61,68,74,84,88,101,112],"see":[2,11,17,24,30,34,48,62,69,75,85,89,102,113],"text]":[3,12,31,35,49,70,76,86,90,103,114],"be":[4,39,94],"a":[5,20,26,40,52,95,171],"graph":[6,22,154,174],"with":[7],"edge":[8],"set":[9,15,28,42,67,83,99,124],"and":[13,107,142,160,175],"vertex":[14,27,45,82],"text].":[18,63],"For":[19],"connected":[21,173],"text],":[25],"of":[32,58,87,122,137,140,162,178],"is":[36,71,77,91,104,125,151,180],"said":[37,92],"to":[38,93],"geodetic":[41,66,78,97,128,149,165],"if":[43,100],"every":[44],"in":[46,51,60,153,167,183],"lies":[50],"shortest":[53],"path":[54],"between":[55,170],"any":[56],"pair":[57],"vertices":[59],"If":[64],"the":[65,108],"dominating,":[72],"then":[73],"dominating":[79,98,106],"set.":[80],"A":[81],"restrained":[96,127,148],"geodetic,":[105],"subgraph":[109],"induced":[110],"by":[111],"has":[115],"no":[116],"isolated":[117],"vertex.":[118],"The":[119,147],"minimum":[120],"cardinality":[121],"such":[123,156],"called":[126],"domination":[129,150,166],"(rgd)":[130],"number.":[131],"In":[132],"this":[133,184],"paper,":[134],"rgd":[135],"number":[136],"certain":[138],"classes":[139,177],"graphs":[141,144,179],"2-self-centered":[143],"was":[145],"discussed.":[146],"discussed":[152,182],"operations":[155],"as":[157],"Cartesian":[158],"product":[159,169],"join":[161],"graphs.":[163],"Restrained":[164],"corona":[168],"general":[172],"some":[176],"also":[181],"paper.":[185]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-06T06:45:51.903784","created_date":"2025-10-10T00:00:00"}
