{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:55:57Z","timestamp":1760151357448,"version":"build-2065373602"},"reference-count":14,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2022,2,25]],"date-time":"2022-02-25T00:00:00Z","timestamp":1645747200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11761070","61662079"],"award-info":[{"award-number":["11761070","61662079"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"2021 Xinjiang Uygur Autonomous Region National Natural Science Foundation Joint Research Fund","award":["2021D01C078"],"award-info":[{"award-number":["2021D01C078"]}]},{"name":"2020 Special Foundation for First-class Specialty of Applied Mathematics Xinjiang Normal University","award":["2020XJNU"],"award-info":[{"award-number":["2020XJNU"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>Let G=(V,E) be a connected graph with |V|=n and |E|=m. A bijection f:V(G)\u222aE(G)\u2192{1,2,\u22ef,n+m} is called local antimagic total labeling if, for any two adjacent vertices u and v, \u03c9t(u)\u2260\u03c9t(v), where \u03c9t(u)=f(u)+\u2211e\u2208E(u)f(e), and E(u) is the set of edges incident to u. Thus, any local antimagic total labeling induces a proper coloring of G, where the vertex x in G is assigned the color \u03c9t(x). The local antimagic total chromatic number, denoted by \u03c7lat(G), is the minimum number of colors taken over all colorings induced by local antimagic total labelings of G. In this paper, we present the local antimagic total chromatic numbers of some wheel-related graphs, such as the fan graph Fn, the bowknot graph Bn,n, the Dutch windmill graph D4n, the analogous Dutch graph AD4n and the flower graph Fn.<\/jats:p>","DOI":"10.3390\/axioms11030097","type":"journal-article","created":{"date-parts":[[2022,2,25]],"date-time":"2022-02-25T10:00:40Z","timestamp":1645783240000},"page":"97","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["The Local Antimagic Total Chromatic Number of Some Wheel-Related Graphs"],"prefix":"10.3390","volume":"11","author":[{"given":"Xue","family":"Yang","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830017, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2824-2338","authenticated-orcid":false,"given":"Hong","family":"Bian","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830017, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Haizheng","family":"Yu","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dandan","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830017, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,2,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1007\/s00373-017-1758-7","article-title":"Local antimagic vertex coloring of a graph","volume":"33","author":"Arumugam","year":"2017","journal-title":"Graphs Combin."},{"key":"ref_2","first-page":"21","article-title":"On a combination of the 1-2-3 Conjecture and the Antimagic Labelling Conjecture","volume":"19","author":"Bensmail","year":"2017","journal-title":"Discret. 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Ser."}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/11\/3\/97\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T22:27:08Z","timestamp":1760135228000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/11\/3\/97"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,2,25]]},"references-count":14,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2022,3]]}},"alternative-id":["axioms11030097"],"URL":"https:\/\/doi.org\/10.3390\/axioms11030097","relation":{},"ISSN":["2075-1680"],"issn-type":[{"type":"electronic","value":"2075-1680"}],"subject":[],"published":{"date-parts":[[2022,2,25]]}}}