{"id":"https://openalex.org/W4404123164","doi":"https://doi.org/10.1142/s0129054124500230","title":"The Local Metric Dimension and Distance-Edge-Monitoring Number of Graph","display_name":"The Local Metric Dimension and Distance-Edge-Monitoring Number of Graph","publication_year":2024,"publication_date":"2024-11-07","ids":{"openalex":"https://openalex.org/W4404123164","doi":"https://doi.org/10.1142/s0129054124500230"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054124500230","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s0129054124500230","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"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":"International Journal of Foundations of Computer Science","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/I168673124","display_name":"Tianjin Chengjian University","ror":"https://ror.org/01d0bkz51","country_code":"CN","type":"education","lineage":["https://openalex.org/I168673124"]},{"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":true,"raw_author_name":"Chenxu Yang","raw_affiliation_strings":["School of Computer, Qinghai Normal University, Xining, Qinghai 810008, P. R. China","School of Science, Tianjin Chengjian University, Tianjin, Tianjin 300384, 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"]},{"raw_affiliation_string":"School of Science, Tianjin Chengjian University, Tianjin, Tianjin 300384, P. R. China","institution_ids":["https://openalex.org/I168673124"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025341885","display_name":"Zhen Ji","orcid":"https://orcid.org/0000-0003-4006-7456"},"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":"Zhen Ji","raw_affiliation_strings":["School of Computer, Qinghai Normal University, Xining, Qinghai 810008, P. R. China"],"raw_orcid":"https://orcid.org/0000-0003-4006-7456","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/A5021509132","display_name":"Wen Li","orcid":"https://orcid.org/0000-0001-8744-5931"},"institutions":[{"id":"https://openalex.org/I116265982","display_name":"Qinghai University","ror":"https://ror.org/05h33bt13","country_code":"CN","type":"education","lineage":["https://openalex.org/I116265982"]},{"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":"Wen Li","raw_affiliation_strings":["School of Computer, Qinghai Normal University, Xining, Qinghai 810008, P. R. China","School of Mathematics and Statistic, Qinghai Minzu University, Xining, Qinghai 810008, P. R. China"],"raw_orcid":"https://orcid.org/0000-0001-8744-5931","affiliations":[{"raw_affiliation_string":"School of Computer, Qinghai Normal University, Xining, Qinghai 810008, P. R. China","institution_ids":["https://openalex.org/I20616075"]},{"raw_affiliation_string":"School of Mathematics and Statistic, Qinghai Minzu University, Xining, Qinghai 810008, P. R. China","institution_ids":["https://openalex.org/I116265982"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079300575","display_name":"Yan Liang","orcid":"https://orcid.org/0000-0001-8986-3934"},"institutions":[{"id":"https://openalex.org/I21642278","display_name":"Ningxia University","ror":"https://ror.org/04j7b2v61","country_code":"CN","type":"education","lineage":["https://openalex.org/I21642278"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Liang","raw_affiliation_strings":["School of Preparatory Education for Nationalities, Ningxia University, Yinchuan 750002, P. R. China"],"raw_orcid":"https://orcid.org/0000-0001-8986-3934","affiliations":[{"raw_affiliation_string":"School of Preparatory Education for Nationalities, Ningxia University, Yinchuan 750002, P. R. China","institution_ids":["https://openalex.org/I21642278"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5034004918"],"corresponding_institution_ids":["https://openalex.org/I168673124","https://openalex.org/I20616075"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23113252,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9628000259399414,"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/T11106","display_name":"Data Management and Algorithms","score":0.9327999949455261,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/mathematics","display_name":"Mathematics","score":0.6238630414009094},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5165001749992371},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5112612247467041},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4779791235923767},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.43066850304603577},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4041176736354828},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3383808732032776}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6238630414009094},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5165001749992371},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5112612247467041},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4779791235923767},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.43066850304603577},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4041176736354828},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3383808732032776},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054124500230","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1142/s0129054124500230","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"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":"International Journal of Foundations of Computer Science","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":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1987895267","https://openalex.org/W2350519135","https://openalex.org/W2390619334","https://openalex.org/W2052190160","https://openalex.org/W2959160600","https://openalex.org/W2141802142","https://openalex.org/W2375327612","https://openalex.org/W2491835820","https://openalex.org/W4292003887"],"abstract_inverted_index":{"Let":[0],"[Formula:":[1,8,13,22,26,33,38,48,54,59,66,77,83,88,97,103,108,113,120,132,138,143,152,156,160,165,176,179,186,194,199,205,214,224,232,236,240,243,251,255,274,278,286,290,294,298,305,309,315,320,328,337,342,346],"see":[2,9,14,23,27,34,39,49,55,60,67,78,84,89,98,104,109,114,121,133,139,144,153,157,161,166,177,180,187,195,200,206,215,225,233,237,241,244,252,256,275,279,287,291,295,299,306,310,316,321,329,338,343,347],"text]":[3,15,24,28,40,50,61,79,90,99,105,115,134,145,154,158,167,181,196,201,216,234,238,253,276,280,288,296,307,317,339,344],"be":[4,149],"a":[5,20,44,73,92,127,169,193,271,333],"graph":[6,266,334],"and":[7,25,30,227,235,281,345],"text].":[10,35,68,85,122,140,162,188,207,245,257,322,348],"The":[11,69,123,189],"vertex":[12],"is":[16,41,62,80,91,116,135,146,168,182,202],"said":[17,147],"to":[18,148,260],"resolve":[19,74,94,129],"pair":[21,58,112],"if":[29,32,51,100,155,173,250],"only":[31],"A":[36,86,163],"set":[37,46,75,87,95,130,164,172,197],"defined":[42,81,136,203,265],"as":[43,82,137,204],"resolving":[45],"of":[47,72,76,96,126,131,192,198,231,285,304],"for":[52,101,174,217,239,273,277,289,327],"all":[53,102,175,218,313],"text],":[56,110,178,226,242,292,330],"the":[57,111,228,261,264,282,301],"resolved":[63,117],"by":[64,118,151,184],"some":[65,119,185],"minimum":[70,124,190],"cardinality":[71,125,191],"local":[93,128],"such":[106,340],"that":[107,213,249,326,341],"An":[141],"edge":[142],"monitored":[150,183],"or":[159],"distance-edge-monitoring":[170],"(DEM)":[171],"In":[208],"this":[209],"paper,":[210],"we":[211,247,324],"obtained":[212,248],"non":[219],"trivial":[220],"graphs":[221,314],"with":[222,318,335],"order":[223,319,336],"exact":[229,283],"value":[230,303],"Also,":[246],"then":[254],"With":[258],"respect":[259],"relation":[262],"between":[263],"invariants,":[267],"it":[268],"was":[269],"proved":[270,325],"bound":[272],"values":[284],"where":[293],"(resp,":[297,308],"text])is":[300],"maximum":[302],"text])":[311],"over":[312],"Finally,":[323],"there":[331],"exists":[332]},"counts_by_year":[],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}