PELABELAN ODD-GRACEFUL PADA GRAF PRODUK SISIR
Gnanajothi defined a graph with edges to be odd-graceful if there is an injective function such that if every edge is labelled with the resulting edge labels are . She proved that the graph obtained by joining one pendant to every vertex in is odd-graceful if and only if is even. In this pap...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Department of Mathematics FMIPA University of Jember
2022-03-01
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| Series: | Majalah Ilmiah Matematika dan Statistika |
| Online Access: | https://jurnal.unej.ac.id/index.php/MIMS/article/view/30186 |
| _version_ | 1797838737743282176 |
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| author | Juan Daniel Zeveliano Zidane Barack Pandu Setya Ilham Kiki Ariyanti Sugeng |
| author_facet | Juan Daniel Zeveliano Zidane Barack Pandu Setya Ilham Kiki Ariyanti Sugeng |
| author_sort | Juan Daniel |
| collection | DOAJ |
| description | Gnanajothi defined a graph with edges to be odd-graceful if there is an injective function such that if every edge is labelled with the resulting edge labels are . She proved that the graph obtained by joining one pendant to every vertex in is odd-graceful if and only if is even. In this paper, we extend her results by proving that is odd-graceful if and only if is even.
Keywords: Vertex-labelling, odd-graceful, cycle
MSC 2020: 05C78 |
| first_indexed | 2024-04-09T15:46:47Z |
| format | Article |
| id | doaj.art-da01d1fb58064b69b4954ad13b5b4292 |
| institution | Directory Open Access Journal |
| issn | 1411-6669 2722-9866 |
| language | English |
| last_indexed | 2024-04-09T15:46:47Z |
| publishDate | 2022-03-01 |
| publisher | Department of Mathematics FMIPA University of Jember |
| record_format | Article |
| series | Majalah Ilmiah Matematika dan Statistika |
| spelling | doaj.art-da01d1fb58064b69b4954ad13b5b42922023-04-27T02:26:51ZengDepartment of Mathematics FMIPA University of JemberMajalah Ilmiah Matematika dan Statistika1411-66692722-98662022-03-01221304210.19184/mims.v22i1.3018630186PELABELAN ODD-GRACEFUL PADA GRAF PRODUK SISIRJuan Daniel0Zeveliano Zidane Barack1Pandu Setya Ilham2Kiki Ariyanti Sugeng3Departemen Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas IndonesiaDepartemen Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas IndonesiaDepartemen Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas IndonesiaDepartemen Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas IndonesiaGnanajothi defined a graph with edges to be odd-graceful if there is an injective function such that if every edge is labelled with the resulting edge labels are . She proved that the graph obtained by joining one pendant to every vertex in is odd-graceful if and only if is even. In this paper, we extend her results by proving that is odd-graceful if and only if is even. Keywords: Vertex-labelling, odd-graceful, cycle MSC 2020: 05C78https://jurnal.unej.ac.id/index.php/MIMS/article/view/30186 |
| spellingShingle | Juan Daniel Zeveliano Zidane Barack Pandu Setya Ilham Kiki Ariyanti Sugeng PELABELAN ODD-GRACEFUL PADA GRAF PRODUK SISIR Majalah Ilmiah Matematika dan Statistika |
| title | PELABELAN ODD-GRACEFUL PADA GRAF PRODUK SISIR |
| title_full | PELABELAN ODD-GRACEFUL PADA GRAF PRODUK SISIR |
| title_fullStr | PELABELAN ODD-GRACEFUL PADA GRAF PRODUK SISIR |
| title_full_unstemmed | PELABELAN ODD-GRACEFUL PADA GRAF PRODUK SISIR |
| title_short | PELABELAN ODD-GRACEFUL PADA GRAF PRODUK SISIR |
| title_sort | pelabelan odd graceful pada graf produk sisir |
| url | https://jurnal.unej.ac.id/index.php/MIMS/article/view/30186 |
| work_keys_str_mv | AT juandaniel pelabelanoddgracefulpadagrafproduksisir AT zevelianozidanebarack pelabelanoddgracefulpadagrafproduksisir AT pandusetyailham pelabelanoddgracefulpadagrafproduksisir AT kikiariyantisugeng pelabelanoddgracefulpadagrafproduksisir |