{"title":"对Hn, FLn和mCn的(a,d)-抗魔标记","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":"{\"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}","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}
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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