{"id":"https://openalex.org/W2886214226","doi":"https://doi.org/10.1142/s1793830918500660","title":"Bounds on the sum of domination number and metric dimension of graphs","display_name":"Bounds on the sum of domination number and metric dimension of graphs","publication_year":2018,"publication_date":"2018-08-13","ids":{"openalex":"https://openalex.org/W2886214226","doi":"https://doi.org/10.1142/s1793830918500660","mag":"2886214226"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830918500660","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830918500660","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/A5054561061","display_name":"Cong X. Kang","orcid":null},"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":false,"raw_author_name":"Cong X. Kang","raw_affiliation_strings":["Texas A&amp;M University at Galveston, Galveston, TX 77553, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Texas A&amp;M University at Galveston, Galveston, TX 77553, USA","institution_ids":["https://openalex.org/I164185940"]}]},{"author_position":"last","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":false,"raw_author_name":"Eunjeong Yi","raw_affiliation_strings":["Texas A&amp;M University at Galveston, Galveston, TX 77553, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Texas A&amp;M University at Galveston, Galveston, TX 77553, USA","institution_ids":["https://openalex.org/I164185940"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.429,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.65757485,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"10","issue":"05","first_page":"1850066","last_page":"1850066"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9369999766349792,"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":0.9280999898910522,"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":0.7568540573120117},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5868710875511169},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5852039456367493},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4018957316875458},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34843724966049194}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7568540573120117},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5868710875511169},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5852039456367493},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4018957316875458},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34843724966049194}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830918500660","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830918500660","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":18,"referenced_works":["https://openalex.org/W1228647933","https://openalex.org/W1493071618","https://openalex.org/W1547239808","https://openalex.org/W1816428715","https://openalex.org/W1973911938","https://openalex.org/W2011039300","https://openalex.org/W2016346312","https://openalex.org/W2025711606","https://openalex.org/W2026014023","https://openalex.org/W2037298352","https://openalex.org/W2049934672","https://openalex.org/W2079400307","https://openalex.org/W2105232761","https://openalex.org/W2114713753","https://openalex.org/W2122198415","https://openalex.org/W2271333507","https://openalex.org/W3103685730","https://openalex.org/W4236316415"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W3111310291"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,10,16,20,30,39,48,54,58,75,93,104,108,119,126,135,140,149,159,163,167,171,179,189,195,200,212,216,220],"see":[2,11,17,21,31,40,49,55,59,76,94,105,109,120,127,136,141,150,160,164,168,172,180,190,196,201,213,217,221],"text]":[3,22,32,41,60,77,95,110,128,137,151,161,165,173,181,197,202,214,218,222],"be":[4],"a":[5,28,45,66,91,132,183,224,226,230],"graph":[6,134,177,186],"with":[7],"vertex":[8,36,46,73],"set":[9,29,67],"text].":[12,50,191],"The":[13,51],"domination":[14],"number,":[15],"text],":[18,56,106,142,169],"of":[19,27,57,65,68,74,84,96,114,118,138,187],"is":[23,42,61,78,223],"the":[24,62,87,112,175],"minimum":[25,63],"cardinality":[26,64],"such":[33,70],"that":[34,71,103,148],"every":[35,72],"not":[37],"in":[38,47],"adjacent":[43],"to":[44,86],"metric":[52],"dimension,":[53],"vertices":[69,117],"uniquely":[79],"determined":[80],"by":[81],"its":[82],"vector":[83],"distances":[85],"chosen":[88],"vertices.":[89],"For":[90,131],"tree":[92],"order":[97,139,188],"at":[98],"least":[99],"two,":[100],"we":[101,123],"show":[102],"where":[107,170],"denotes":[111,174,182],"number":[113],"exterior":[115],"major":[116],"text];":[121],"further,":[122],"characterize":[124,193,210],"trees":[125],"achieving":[129],"equality.":[130],"connected":[133],"Bagheri":[143],"Gh.":[144],"et":[145],"al.":[146],"proved":[147],"and":[152,156,166,178,205],"equality":[153],"holds":[154],"if":[155,158],"only":[157],"for":[162,198],"complete":[176,184,231],"bi-partite":[185],"We":[192,208],"graphs":[194,211],"which":[199],"equals":[203],"two":[204],"three,":[206],"respectively.":[207],"also":[209],"satisfying":[215],"when":[219],"tree,":[225],"unicyclic":[227],"graph,":[228],"or":[229],"multi-partite":[232],"graph.":[233]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
