{"id":"https://openalex.org/W3100240892","doi":"https://doi.org/10.1142/s1793830921500282","title":"The local partition dimension of graphs","display_name":"The local partition dimension of graphs","publication_year":2020,"publication_date":"2020-09-19","ids":{"openalex":"https://openalex.org/W3100240892","doi":"https://doi.org/10.1142/s1793830921500282","mag":"3100240892"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830921500282","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921500282","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/A5013391703","display_name":"Ridho Alfarisi","orcid":"https://orcid.org/0000-0003-3011-4917"},"institutions":[{"id":"https://openalex.org/I3129486149","display_name":"Universitas Jember","ror":"https://ror.org/049f0ha78","country_code":"ID","type":"education","lineage":["https://openalex.org/I3129486149"]}],"countries":["ID"],"is_corresponding":true,"raw_author_name":"Ridho Alfarisi","raw_affiliation_strings":["Department of Primary School, University of Jember, Indonesia"],"raw_orcid":"https://orcid.org/0000-0003-3011-4917","affiliations":[{"raw_affiliation_string":"Department of Primary School, University of Jember, Indonesia","institution_ids":["https://openalex.org/I3129486149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000682841","display_name":"Arika Indah Kristiana","orcid":"https://orcid.org/0000-0002-6556-6377"},"institutions":[{"id":"https://openalex.org/I3129486149","display_name":"Universitas Jember","ror":"https://ror.org/049f0ha78","country_code":"ID","type":"education","lineage":["https://openalex.org/I3129486149"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Arika Indah Kristiana","raw_affiliation_strings":["Department of Mathematics Education, University of Jember, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, University of Jember, Indonesia","institution_ids":["https://openalex.org/I3129486149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012864809","display_name":"Dafik Dafik","orcid":"https://orcid.org/0000-0003-0575-3039"},"institutions":[{"id":"https://openalex.org/I3129486149","display_name":"Universitas Jember","ror":"https://ror.org/049f0ha78","country_code":"ID","type":"education","lineage":["https://openalex.org/I3129486149"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Dafik","raw_affiliation_strings":["Department of Mathematics Education, University of Jember, Indonesia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, University of Jember, Indonesia","institution_ids":["https://openalex.org/I3129486149"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013391703"],"corresponding_institution_ids":["https://openalex.org/I3129486149"],"apc_list":null,"apc_paid":null,"fwci":0.5781,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74467307,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"13","issue":"03","first_page":"2150028","last_page":"2150028"},"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/T11476","display_name":"Graph theory and applications","score":0.98089998960495,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9434000253677368,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7022346258163452},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6346538662910461},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5920429825782776},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5446126461029053},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.48463210463523865},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4159041941165924},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34479066729545593}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7022346258163452},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6346538662910461},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5920429825782776},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5446126461029053},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.48463210463523865},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4159041941165924},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34479066729545593}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830921500282","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921500282","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":4,"referenced_works":["https://openalex.org/W2036691208","https://openalex.org/W2082273344","https://openalex.org/W2092732462","https://openalex.org/W2740312317"],"related_works":["https://openalex.org/W3161249280","https://openalex.org/W2267059662","https://openalex.org/W4388411807","https://openalex.org/W2364268683","https://openalex.org/W2478803962","https://openalex.org/W3169430512","https://openalex.org/W2144570076","https://openalex.org/W1987895267","https://openalex.org/W2384804534","https://openalex.org/W2154069781"],"abstract_inverted_index":{"All":[0],"graphs":[1],"in":[2],"this":[3],"paper":[4],"are":[5],"undirected":[6],"and":[7,54,139],"connected":[8],"graphs.":[9],"An":[10],"ordered":[11],"k-partition":[12],"set":[13,56,70],"[Formula:":[14,18,26,30,36,40,44,57,61,65,71,80,84,88,93,97,105,114,119,136],"see":[15,19,27,31,37,41,45,58,62,66,72,81,85,89,94,98,106,115,120,137],"text]":[16,28,32,38,42,46,59,63,73,82,86,90,95,107,138],"where":[17,43],"text],":[20,116],"the":[21,48,51,55,127,131,141],"representation":[22],"of":[23,29,79,96,113,130,135,144],"a":[24,75,109],"vertex":[25,52],"with":[33,60],"respect":[34],"to":[35,92],"is":[39,47,74,108],"distance":[49],"between":[50],"v":[53],"for":[64,87],"text].":[67,99,121],"The":[68,100],"partition":[69,78,104,111,133],"local":[76,102,110,132],"resolving":[77,103],"if":[83],"adjacent":[91],"minimum":[101],"dimension":[112,134],"denoted":[117],"by":[118],"In":[122],"our":[123],"paper,":[124],"we":[125],"found":[126],"sharp":[128],"bounds":[129],"determine":[140],"exact":[142],"value":[143],"some":[145],"special":[146],"graph.":[147]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
