Even-Odd Prime Harmonious Graphs
The paper considers finite and undirected simple connected graphs. Usually, graph labeling is an assignment of integers to the vertices or edges in the method. Naturally, Graphs arose in the study of Graham and Slaone Modular versions of additive based problems. Hence, the researcher have introduced...
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| Format: | Article |
| Language: | English |
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Pandian Educational Trust (TN-32-0003213), Maheswari Publishers, (The publishing unit of PANDIAN EDUCATIONAL TRUST- TN32D0026797)
2022-07-01
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| Series: | Pandian Journal of Mathematical Sciences |
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| Online Access: | https://pandianeducationaltrust.com/data/uploads/pjms-pandian-journal-of-mathematical-studies-files/pjms-volume-1-issue-1-july-2022/8-%20Ramkumar.pdf |
| _version_ | 1827378023003848704 |
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| author | Dr R. S. Ramkumar |
| author_facet | Dr R. S. Ramkumar |
| author_sort | Dr R. S. Ramkumar |
| collection | DOAJ |
| description | The paper considers finite and undirected simple connected graphs. Usually, graph labeling is an assignment of integers to the vertices or edges in the method. Naturally, Graphs arose in the study of Graham and Slaone Modular versions of additive based problems. Hence, the researcher have introduced Even-Odd Prime Harmonious Labeling of Graphs and I prove that the Path 𝑃𝑛 where n is odd, Star 𝐾1,𝑛 and Comb graph 𝑃𝑛 . 𝐾1, n is even, are even-odd harmonious graphs. By the use of even-odd prime harmonious labeling concepts, one can find out the significance of even-odd prime harmonious graphs. |
| first_indexed | 2024-03-08T12:48:53Z |
| format | Article |
| id | doaj.art-f3067791be944d6b848b2cb20c777979 |
| institution | Directory Open Access Journal |
| issn | 2583-8822 |
| language | English |
| last_indexed | 2024-03-08T12:48:53Z |
| publishDate | 2022-07-01 |
| publisher | Pandian Educational Trust (TN-32-0003213), Maheswari Publishers, (The publishing unit of PANDIAN EDUCATIONAL TRUST- TN32D0026797) |
| record_format | Article |
| series | Pandian Journal of Mathematical Sciences |
| spelling | doaj.art-f3067791be944d6b848b2cb20c7779792024-01-20T17:39:34ZengPandian Educational Trust (TN-32-0003213), Maheswari Publishers, (The publishing unit of PANDIAN EDUCATIONAL TRUST- TN32D0026797)Pandian Journal of Mathematical Sciences2583-88222022-07-012830Even-Odd Prime Harmonious GraphsDr R. S. Ramkumar0https://orcid.org/0000-0002-1479-0635 Head & Assistant Professor, Department of Mathematics, Sri S.R.N.M. College, Sattur, Virudhunagar,Tamil Nadu, India.The paper considers finite and undirected simple connected graphs. Usually, graph labeling is an assignment of integers to the vertices or edges in the method. Naturally, Graphs arose in the study of Graham and Slaone Modular versions of additive based problems. Hence, the researcher have introduced Even-Odd Prime Harmonious Labeling of Graphs and I prove that the Path 𝑃𝑛 where n is odd, Star 𝐾1,𝑛 and Comb graph 𝑃𝑛 . 𝐾1, n is even, are even-odd harmonious graphs. By the use of even-odd prime harmonious labeling concepts, one can find out the significance of even-odd prime harmonious graphs.https://pandianeducationaltrust.com/data/uploads/pjms-pandian-journal-of-mathematical-studies-files/pjms-volume-1-issue-1-july-2022/8-%20Ramkumar.pdfeven-odd prime harmonious labelingprime harmonious labeling and evenodd harmonious labeling |
| spellingShingle | Dr R. S. Ramkumar Even-Odd Prime Harmonious Graphs Pandian Journal of Mathematical Sciences even-odd prime harmonious labeling prime harmonious labeling and evenodd harmonious labeling |
| title | Even-Odd Prime Harmonious Graphs |
| title_full | Even-Odd Prime Harmonious Graphs |
| title_fullStr | Even-Odd Prime Harmonious Graphs |
| title_full_unstemmed | Even-Odd Prime Harmonious Graphs |
| title_short | Even-Odd Prime Harmonious Graphs |
| title_sort | even odd prime harmonious graphs |
| topic | even-odd prime harmonious labeling prime harmonious labeling and evenodd harmonious labeling |
| url | https://pandianeducationaltrust.com/data/uploads/pjms-pandian-journal-of-mathematical-studies-files/pjms-volume-1-issue-1-july-2022/8-%20Ramkumar.pdf |
| work_keys_str_mv | AT drrsramkumar evenoddprimeharmoniousgraphs |