{"title":"On (a,d)-antimagic labelings of Hn, FLn and mCn","authors":"Ramalakshmi Rajendran, K. Kathiresan","doi":"10.19184/IJC.2020.4.2.3","DOIUrl":null,"url":null,"abstract":"In this paper, we derive the necessary condition for an (a,d )- antimagic labeling of some new classes of graphs such as <em>H</em><em><sub>n</sub>, F L<sub>n</sub> </em>and <em>mC</em><em><sub>n</sub></em>. We prove that <em>H</em><em><sub>n</sub> </em>is (7<em>n </em>+2<em>, </em>1)-antimagic and <em>mC</em><em><sub>n</sub> </em>is ((mn+3)/2,1)- antimagic. Also we prove that <em>F L</em><em><sub>n</sub> </em>has no ((n+1)/2,4)- antimagic labeling.","PeriodicalId":13506,"journal":{"name":"Indonesian Journal of Combinatorics","volume":"6 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indonesian Journal of Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.19184/IJC.2020.4.2.3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this paper, we derive the necessary condition for an (a,d )- antimagic labeling of some new classes of graphs such as Hn, F Lnand mCn. We prove that Hnis (7n +2, 1)-antimagic and mCnis ((mn+3)/2,1)- antimagic. Also we prove that F Lnhas no ((n+1)/2,4)- antimagic labeling.
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