{"id":"https://openalex.org/W2987975074","doi":"https://doi.org/10.1142/s179383092050010x","title":"Bounds on the sum of broadcast domination number and strong metric dimension of graphs","display_name":"Bounds on the sum of broadcast domination number and strong metric dimension of graphs","publication_year":2019,"publication_date":"2019-10-31","ids":{"openalex":"https://openalex.org/W2987975074","doi":"https://doi.org/10.1142/s179383092050010x","mag":"2987975074"},"language":"en","primary_location":{"id":"doi:10.1142/s179383092050010x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179383092050010x","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/A5028726850","display_name":"Eunjeong Yi","orcid":"https://orcid.org/0000-0002-7493-8398"},"institutions":[{"id":"https://openalex.org/I164185940","display_name":"Texas A&M University at Galveston","ror":"https://ror.org/00w0k4e67","country_code":"US","type":"education","lineage":["https://openalex.org/I164185940"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Eunjeong Yi","raw_affiliation_strings":["Texas A&M University at Galveston, Galveston, TX 77553, USA"],"affiliations":[{"raw_affiliation_string":"Texas A&M University at Galveston, Galveston, TX 77553, USA","institution_ids":["https://openalex.org/I164185940"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028726850"],"corresponding_institution_ids":["https://openalex.org/I164185940"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.18179719,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"12","issue":"01","first_page":"2050010","last_page":"2050010"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":1.0,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":1.0,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9861000180244446,"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":0.9567000269889832,"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/combinatorics","display_name":"Combinatorics","score":0.5958945155143738},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5098149180412292},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4584138095378876},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.42217472195625305},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3365103602409363}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5958945155143738},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5098149180412292},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4584138095378876},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.42217472195625305},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3365103602409363}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s179383092050010x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s179383092050010x","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1972094496","https://openalex.org/W1973911938","https://openalex.org/W1987801337","https://openalex.org/W2011039300","https://openalex.org/W2026014023","https://openalex.org/W2086552038","https://openalex.org/W2105232761","https://openalex.org/W2130406510","https://openalex.org/W2161551572","https://openalex.org/W2493040154","https://openalex.org/W2574091758","https://openalex.org/W2886214226"],"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/W2142036596"],"abstract_inverted_index":{"Let":[0,153],"[Formula:":[1,16,20,24,32,37,42,52,59,66,71,75,83,87,94,102,106,110,114,122,128,134,139,145,150,154,163,167,173,182,186,195,203,207,214,222,226,233,239,244,248,261,267,278,290,295,303,307,314,318],"see":[2,17,21,25,33,38,43,53,60,67,72,76,84,88,95,103,107,111,115,123,129,135,140,146,151,155,164,168,174,183,187,196,204,208,215,223,227,234,240,245,249,262,268,279,291,296,304,308,315,319],"text]":[3,26,34,44,54,68,73,89,96,104,116,124,130,136,141,147,156,175,184,188,209,216,224,246,250,269,292,305,309,316,320],"be":[4,157],"a":[5,47,64,133,144,158,177,288],"connected":[6,231],"graph":[7,232],"of":[8,30,51,86,93,105,120,149,181,192,206,213,225,270,293],"order":[9,271,294],"at":[10,272],"least":[11,273],"two":[12,252],"with":[13,335],"vertex":[14,58,65],"set":[15,119],"text].":[18,39,108,152,169,228,263],"For":[19,109,229,264],"text],":[22,61,77,85,112,165,197,205,235,280,297],"let":[23,113,166],"denote":[27,117],"the":[28,79,91,118,199,211,300],"length":[29],"an":[31,339],"geodesic":[35,137,148],"in":[36,323],"A":[40],"function":[41,50,159,180],"is":[45,90,176,210,310,321],"called":[46],"dominating":[48,99],"broadcast":[49,80,100],"if,":[55],"for":[56,161,189,287],"each":[57,324],"there":[62],"exists":[63],"such":[69,125],"that":[70,126,172,238,277,302,313],"and":[74,78,198,253,256,281,312,338],"domination":[81],"number,":[82],"minimum":[92,212],"over":[97,217],"all":[98,218],"functions":[101,221],"vertices":[121,194],"either":[127],"lies":[131,142],"on":[132,143],"or":[138],"and,":[160],"any":[162,230,265],"We":[170,331],"say":[171],"strong":[178,200,219],"resolving":[179,220],"if":[185,306,317],"every":[190],"pair":[191],"distinct":[193],"metric":[201],"dimension,":[202],"we":[236,242,275,298,326],"show":[237,276],"text];":[241],"characterize":[243,257,282,327],"satisfying":[247],"equals":[251],"three,":[254,274],"respectively,":[255],"unicyclic":[258],"graphs":[259],"achieving":[260,284,329],"tree":[266,289],"trees":[283,328],"equality.":[285,330],"Moreover,":[286],"obtain":[299],"results":[301],"central,":[311],"bicentral;":[322],"case,":[325],"conclude":[332],"this":[333],"paper":[334],"some":[336],"remarks":[337],"open":[340],"problem.":[341]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}