{"id":"https://openalex.org/W4214693172","doi":"https://doi.org/10.3390/axioms11030097","title":"The Local Antimagic Total Chromatic Number of Some Wheel-Related Graphs","display_name":"The Local Antimagic Total Chromatic Number of Some Wheel-Related Graphs","publication_year":2022,"publication_date":"2022-02-25","ids":{"openalex":"https://openalex.org/W4214693172","doi":"https://doi.org/10.3390/axioms11030097"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11030097","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11030097","pdf_url":"https://www.mdpi.com/2075-1680/11/3/97/pdf?version=1645767818","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/11/3/97/pdf?version=1645767818","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085280649","display_name":"Xue Yang","orcid":"https://orcid.org/0000-0001-7892-2994"},"institutions":[{"id":"https://openalex.org/I1334729051","display_name":"Xinjiang Normal University","ror":"https://ror.org/00ndrvk93","country_code":"CN","type":"education","lineage":["https://openalex.org/I1334729051"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xue Yang","raw_affiliation_strings":["School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830017, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830017, China","institution_ids":["https://openalex.org/I1334729051"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002329278","display_name":"Hong Bian","orcid":"https://orcid.org/0000-0003-2824-2338"},"institutions":[{"id":"https://openalex.org/I1334729051","display_name":"Xinjiang Normal University","ror":"https://ror.org/00ndrvk93","country_code":"CN","type":"education","lineage":["https://openalex.org/I1334729051"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hong Bian","raw_affiliation_strings":["School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830017, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830017, China","institution_ids":["https://openalex.org/I1334729051"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107296868","display_name":"Haizheng Yu","orcid":null},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haizheng Yu","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100327096","display_name":"Dandan Liu","orcid":"https://orcid.org/0000-0001-6213-1880"},"institutions":[{"id":"https://openalex.org/I1334729051","display_name":"Xinjiang Normal University","ror":"https://ror.org/00ndrvk93","country_code":"CN","type":"education","lineage":["https://openalex.org/I1334729051"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dandan Liu","raw_affiliation_strings":["School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830017, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830017, China","institution_ids":["https://openalex.org/I1334729051"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5002329278"],"corresponding_institution_ids":["https://openalex.org/I1334729051"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.1509,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.46152727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"11","issue":"3","first_page":"97","last_page":"97"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9305999875068665,"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":0.8783682584762573},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7864338755607605},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.7446469068527222},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6104375720024109},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5521902441978455},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.5499982237815857},{"id":"https://openalex.org/keywords/windmill-graph","display_name":"Windmill graph","score":0.5006434917449951},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38655921816825867},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.2904733419418335},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.13016560673713684}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8783682584762573},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7864338755607605},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.7446469068527222},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6104375720024109},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5521902441978455},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.5499982237815857},{"id":"https://openalex.org/C73380178","wikidata":"https://www.wikidata.org/wiki/Q8024306","display_name":"Windmill graph","level":5,"score":0.5006434917449951},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38655921816825867},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.2904733419418335},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.13016560673713684}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms11030097","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11030097","pdf_url":"https://www.mdpi.com/2075-1680/11/3/97/pdf?version=1645767818","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:88d111ed77304f8eaa9e1bb4cb1b6c5f","is_oa":true,"landing_page_url":"https://doaj.org/article/88d111ed77304f8eaa9e1bb4cb1b6c5f","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 11, Iss 3, p 97 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/3/97/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11030097","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 11; Issue 3; Pages: 97","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11030097","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11030097","pdf_url":"https://www.mdpi.com/2075-1680/11/3/97/pdf?version=1645767818","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3085993365","display_name":null,"funder_award_id":"(Grant No.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7726157001","display_name":null,"funder_award_id":"Grant No.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7879602340","display_name":null,"funder_award_id":"61662079","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8018211901","display_name":null,"funder_award_id":"11761070","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8209656752","display_name":null,"funder_award_id":"11761070, 61662079","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"},{"id":"https://openalex.org/F4320325405","display_name":"Xinjiang Normal University","ror":"https://ror.org/00ndrvk93"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4214693172.pdf","grobid_xml":"https://content.openalex.org/works/W4214693172.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W2568487920","https://openalex.org/W2605750784","https://openalex.org/W2800943984","https://openalex.org/W2802677295","https://openalex.org/W2809571206","https://openalex.org/W2944643672","https://openalex.org/W2964254957","https://openalex.org/W2972432386","https://openalex.org/W2980893706","https://openalex.org/W3036480377","https://openalex.org/W3099144558","https://openalex.org/W3136847131","https://openalex.org/W3166045876","https://openalex.org/W6736384503","https://openalex.org/W6738411393","https://openalex.org/W6750820930","https://openalex.org/W6751214205","https://openalex.org/W6752436130"],"related_works":["https://openalex.org/W2950817880","https://openalex.org/W2091414672","https://openalex.org/W2891101917","https://openalex.org/W3178681420","https://openalex.org/W2049992750","https://openalex.org/W4240570119","https://openalex.org/W1526979981","https://openalex.org/W3120282738","https://openalex.org/W2057367302","https://openalex.org/W2390298591"],"abstract_inverted_index":{"Let":[0],"G=(V,E)":[1],"be":[2],"a":[3,48],"connected":[4],"graph":[5,110,114,119,124,129],"with":[6],"|V|=n":[7],"and":[8,26,31,126],"|E|=m.":[9],"A":[10],"bijection":[11],"f:V(G)\u222aE(G)\u2192{1,2,\u22ef,n+m}":[12],"is":[13,33,59,73],"called":[14],"local":[15,43,65,85,97],"antimagic":[16,44,66,86,98],"total":[17,45,67,87,99],"labeling":[18,46],"if,":[19],"for":[20],"any":[21,42],"two":[22],"adjacent":[23],"vertices":[24],"u":[25],"v,":[27],"\u03c9t(u)\u2260\u03c9t(v),":[28],"where":[29,53],"\u03c9t(u)=f(u)+\u2211e\u2208E(u)f(e),":[30],"E(u)":[32],"the":[34,54,61,74,96,108,112,116,121,127],"set":[35],"of":[36,51,77,89,102],"edges":[37],"incident":[38],"to":[39],"u.":[40],"Thus,":[41],"induces":[47],"proper":[49],"coloring":[50],"G,":[52],"vertex":[55],"x":[56],"in":[57],"G":[58],"assigned":[60],"color":[62],"\u03c9t(x).":[63],"The":[64],"chromatic":[68,100],"number,":[69],"denoted":[70],"by":[71,84],"\u03c7lat(G),":[72],"minimum":[75],"number":[76],"colors":[78],"taken":[79],"over":[80],"all":[81],"colorings":[82],"induced":[83],"labelings":[88],"G.":[90],"In":[91],"this":[92],"paper,":[93],"we":[94],"present":[95],"numbers":[101],"some":[103],"wheel-related":[104],"graphs,":[105],"such":[106],"as":[107],"fan":[109],"Fn,":[111],"bowknot":[113],"Bn,n,":[115],"Dutch":[117,123],"windmill":[118],"D4n,":[120],"analogous":[122],"AD4n":[125],"flower":[128],"Fn.":[130]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2022-03-02T00:00:00"}