On (a,d)-antimagic labelings of Hn, FLn and mCn
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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InaCombS; Universitas Jember; dan Universitas Indonesia
2020-12-01
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| Series: | Indonesian Journal of Combinatorics |
| Subjects: | |
| Online Access: | http://ijc.or.id/index.php/ijc/article/view/100 |
| _version_ | 1818556633439010816 |
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| author | Ramalakshmi Rajendran K. M. Kathiresan |
| author_facet | Ramalakshmi Rajendran K. M. Kathiresan |
| author_sort | Ramalakshmi Rajendran |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-13T23:49:46Z |
| format | Article |
| id | doaj.art-f91ef10ded2c488cb2f7728f130cbbb6 |
| institution | Directory Open Access Journal |
| issn | 2541-2205 |
| language | English |
| last_indexed | 2024-12-13T23:49:46Z |
| publishDate | 2020-12-01 |
| publisher | InaCombS; Universitas Jember; dan Universitas Indonesia |
| record_format | Article |
| series | Indonesian Journal of Combinatorics |
| spelling | doaj.art-f91ef10ded2c488cb2f7728f130cbbb62022-12-21T23:26:49ZengInaCombS; Universitas Jember; dan Universitas IndonesiaIndonesian Journal of Combinatorics2541-22052020-12-01429810510.19184/ijc.2020.4.2.348On (a,d)-antimagic labelings of Hn, FLn and mCnRamalakshmi Rajendran0K. M. Kathiresan1Rajapalayam Rajus' collegeCenter for Graph Theory, Ayya Nadar Janaki Ammal CollegeIn 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.http://ijc.or.id/index.php/ijc/article/view/100antimagic labeling, (a, d)-antimagic labeling. |
| spellingShingle | Ramalakshmi Rajendran K. M. Kathiresan On (a,d)-antimagic labelings of Hn, FLn and mCn Indonesian Journal of Combinatorics antimagic labeling, (a, d)-antimagic labeling. |
| title | On (a,d)-antimagic labelings of Hn, FLn and mCn |
| title_full | On (a,d)-antimagic labelings of Hn, FLn and mCn |
| title_fullStr | On (a,d)-antimagic labelings of Hn, FLn and mCn |
| title_full_unstemmed | On (a,d)-antimagic labelings of Hn, FLn and mCn |
| title_short | On (a,d)-antimagic labelings of Hn, FLn and mCn |
| title_sort | on a d antimagic labelings of hn fln and mcn |
| topic | antimagic labeling, (a, d)-antimagic labeling. |
| url | http://ijc.or.id/index.php/ijc/article/view/100 |
| work_keys_str_mv | AT ramalakshmirajendran onadantimagiclabelingsofhnflnandmcn AT kmkathiresan onadantimagiclabelingsofhnflnandmcn |