{"id":"https://openalex.org/W4223988968","doi":"https://doi.org/10.1142/s1793830922500793","title":"Approaches that output infinitely many graphs with small local antimagic chromatic number","display_name":"Approaches that output infinitely many graphs with small local antimagic chromatic number","publication_year":2022,"publication_date":"2022-04-18","ids":{"openalex":"https://openalex.org/W4223988968","doi":"https://doi.org/10.1142/s1793830922500793"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830922500793","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830922500793","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/A5070701008","display_name":"Gee-Choon Lau","orcid":"https://orcid.org/0000-0002-9777-6571"},"institutions":[{"id":"https://openalex.org/I82724352","display_name":"Universiti Teknologi MARA","ror":"https://ror.org/05n8tts92","country_code":"MY","type":"education","lineage":["https://openalex.org/I82724352"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"Gee-Choon Lau","raw_affiliation_strings":["Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA (Segamat Campus), 85000 Segamat, Johor, Malaysia"],"raw_orcid":"https://orcid.org/0000-0002-9777-6571","affiliations":[{"raw_affiliation_string":"Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA (Segamat Campus), 85000 Segamat, Johor, Malaysia","institution_ids":["https://openalex.org/I82724352"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102988216","display_name":"Jianxi Li","orcid":"https://orcid.org/0000-0001-7034-9062"},"institutions":[{"id":"https://openalex.org/I9356336","display_name":"Zhangzhou Normal University","ror":"https://ror.org/02vj1vm13","country_code":"CN","type":"education","lineage":["https://openalex.org/I9356336"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianxi Li","raw_affiliation_strings":["School of Mathematics and Statistics, Minnan Normal University, 363000 Zhangzhou, Fujian, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Minnan Normal University, 363000 Zhangzhou, Fujian, P. R. China","institution_ids":["https://openalex.org/I9356336"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076646903","display_name":"Wai Chee Shiu","orcid":"https://orcid.org/0000-0002-2819-8480"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Wai-Chee Shiu","raw_affiliation_strings":["Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5070701008"],"corresponding_institution_ids":["https://openalex.org/I82724352"],"apc_list":null,"apc_paid":null,"fwci":0.3017,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.5732102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"15","issue":"02","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":0.9998999834060669,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.847095251083374},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.8148806095123291},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.731987714767456},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6278026103973389},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.6228480935096741},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.6129868030548096},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5686979293823242},{"id":"https://openalex.org/keywords/complete-bipartite-graph","display_name":"Complete bipartite graph","score":0.5061003565788269},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37555551528930664}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.847095251083374},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.8148806095123291},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.731987714767456},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6278026103973389},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.6228480935096741},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.6129868030548096},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5686979293823242},{"id":"https://openalex.org/C134119311","wikidata":"https://www.wikidata.org/wiki/Q913598","display_name":"Complete bipartite graph","level":4,"score":0.5061003565788269},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37555551528930664}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830922500793","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830922500793","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":13,"referenced_works":["https://openalex.org/W1608199112","https://openalex.org/W1902759194","https://openalex.org/W2037399241","https://openalex.org/W2568487920","https://openalex.org/W2592055188","https://openalex.org/W2802677295","https://openalex.org/W2949865692","https://openalex.org/W2954176357","https://openalex.org/W3036480377","https://openalex.org/W3099144558","https://openalex.org/W3109973483","https://openalex.org/W4235475206","https://openalex.org/W4300303686"],"related_works":["https://openalex.org/W2091826982","https://openalex.org/W245205139","https://openalex.org/W2036057584","https://openalex.org/W4246000090","https://openalex.org/W2107875203","https://openalex.org/W4234658180","https://openalex.org/W4235849992","https://openalex.org/W2910933086","https://openalex.org/W3143578817","https://openalex.org/W4288630335"],"abstract_inverted_index":{"An":[0],"edge":[1],"labeling":[2],"of":[3,29,61,72,82,91],"a":[4,19],"connected":[5],"graph":[6],"[Formula:":[7,21,35,43,65,99],"see":[8,22,36,44,66,100],"text]":[9,23],"is":[10,18,68],"said":[11],"to":[12,54],"be":[13],"local":[14,57,79],"antimagic":[15,58,80],"if":[16],"it":[17],"bijection":[20],"such":[24],"that":[25],"for":[26],"any":[27],"pair":[28],"adjacent":[30],"vertices":[31],"x":[32],"and":[33,95],"y,":[34],"text],":[37,45,67],"where":[38],"the":[39,51,69,89],"induced":[40,74],"vertex":[41,75],"label":[42],"with":[46,98],"e":[47],"ranging":[48],"over":[49,77],"all":[50,78],"edges":[52],"incident":[53],"x.":[55],"The":[56],"chromatic":[59],"number":[60,71],"G,":[62],"denoted":[63],"by":[64],"minimum":[70],"distinct":[73],"labels":[76],"labelings":[81],"G.":[83],"In":[84],"this":[85],"paper,":[86],"we":[87],"show":[88],"existence":[90],"infinitely":[92],"many":[93],"bipartite":[94],"tripartite":[96],"graphs":[97],"text].":[101]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
