{"id":"https://openalex.org/W4390807085","doi":"https://doi.org/10.1142/s0219265923500330","title":"On the Local Metric Dimension of Graphs","display_name":"On the Local Metric Dimension of Graphs","publication_year":2024,"publication_date":"2024-01-10","ids":{"openalex":"https://openalex.org/W4390807085","doi":"https://doi.org/10.1142/s0219265923500330"},"language":"en","primary_location":{"id":"doi:10.1142/s0219265923500330","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219265923500330","pdf_url":null,"source":{"id":"https://openalex.org/S63112013","display_name":"Journal of Interconnection Networks","issn_l":"0219-2659","issn":["0219-2659","1793-6713"],"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":"Journal of Interconnection Networks","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/A5034004918","display_name":"Chenxu Yang","orcid":"https://orcid.org/0000-0003-2523-7090"},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chenxu Yang","raw_affiliation_strings":["School of Computer, Qinghai Normal University, Xining, Qinghai 810008, P. R. China"],"raw_orcid":"https://orcid.org/0000-0003-2523-7090","affiliations":[{"raw_affiliation_string":"School of Computer, Qinghai Normal University, Xining, Qinghai 810008, P. R. China","institution_ids":["https://openalex.org/I20616075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075041535","display_name":"Xingchao Deng","orcid":"https://orcid.org/0000-0002-8423-6197"},"institutions":[{"id":"https://openalex.org/I15062923","display_name":"Tianjin Normal University","ror":"https://ror.org/05x2td559","country_code":"CN","type":"education","lineage":["https://openalex.org/I15062923"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xingchao Deng","raw_affiliation_strings":["School of Mathematical Science, Tianjin Normal University, Tianjin, 300387, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-8423-6197","affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Tianjin Normal University, Tianjin, 300387, P. R. China","institution_ids":["https://openalex.org/I15062923"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088347419","display_name":"Jinxia Liang","orcid":"https://orcid.org/0000-0003-1162-425X"},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinxia Liang","raw_affiliation_strings":["School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, P. R. China"],"raw_orcid":"https://orcid.org/0000-0003-1162-425X","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, P. R. China","institution_ids":["https://openalex.org/I20616075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085286410","display_name":"Yuhu Liu","orcid":"https://orcid.org/0000-0002-6353-075X"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuhu Liu","raw_affiliation_strings":["School of Mathematics, Southwest Jiaotong University, Chengdu 610031, P. R. China","School of Mathematics, Southwest Jiaotong, University, Chengdu 610031, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-6353-075X","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong University, Chengdu 610031, P. R. China","institution_ids":["https://openalex.org/I4800084"]},{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong, University, Chengdu 610031, P. R. China","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5075041535"],"corresponding_institution_ids":["https://openalex.org/I15062923"],"apc_list":null,"apc_paid":null,"fwci":1.0371,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.76094454,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"25","issue":"01","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9990000128746033,"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":0.9990000128746033,"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/metric-dimension","display_name":"Metric dimension","score":0.8215794563293457},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6389085054397583},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6114580631256104},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6046317219734192},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.5591285228729248},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5450064539909363},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5169612765312195},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4063313901424408},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.17788547277450562},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16454243659973145},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.11698022484779358}],"concepts":[{"id":"https://openalex.org/C60933471","wikidata":"https://www.wikidata.org/wiki/Q17152964","display_name":"Metric dimension","level":5,"score":0.8215794563293457},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6389085054397583},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6114580631256104},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6046317219734192},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.5591285228729248},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5450064539909363},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5169612765312195},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4063313901424408},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.17788547277450562},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16454243659973145},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.11698022484779358},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219265923500330","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219265923500330","pdf_url":null,"source":{"id":"https://openalex.org/S63112013","display_name":"Journal of Interconnection Networks","issn_l":"0219-2659","issn":["0219-2659","1793-6713"],"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":"Journal of Interconnection Networks","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6297067728","display_name":null,"funder_award_id":"12061059","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W33341167","https://openalex.org/W2026014023","https://openalex.org/W2056981618","https://openalex.org/W2130406510","https://openalex.org/W2138978865","https://openalex.org/W2612978016","https://openalex.org/W2900101803","https://openalex.org/W3104449153","https://openalex.org/W3189639912","https://openalex.org/W4230237737","https://openalex.org/W4320070452"],"related_works":["https://openalex.org/W2002177687","https://openalex.org/W2380497251","https://openalex.org/W2058438338","https://openalex.org/W2561539344","https://openalex.org/W2019471580","https://openalex.org/W1758702617","https://openalex.org/W2168299207","https://openalex.org/W3101703006","https://openalex.org/W3133002653","https://openalex.org/W2952616125"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,9,18,24,29,34,41,45,59,70],"see":[2,10,19,25,30,35,42,46,60,71],"text]":[3,11,20,26,31,43,47],"be":[4],"a":[5,13],"graph.":[6],"A":[7],"set":[8,16],"is":[12,48,92],"local":[14,38,55,80,85],"resolving":[15,56],"of":[17,44,52,58,88],"if":[21],"there":[22],"exists":[23],"such":[27],"that":[28],"for":[32,79],"any":[33],"text].":[36,61,72],"The":[37],"metric":[39,81,86],"dimension":[40,87],"the":[49,54,67,76,84],"minimum":[50],"cardinality":[51],"all":[53],"sets":[57],"In":[62],"this":[63],"paper,":[64],"we":[65,74],"characterize":[66],"graphs":[68],"with":[69],"Next,":[73],"obtain":[75],"Nordhaus\u2013Gaddum-type":[77],"results":[78],"dimension.":[82],"Finally,":[83],"several":[89],"graph":[90],"classes":[91],"given.":[93]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}