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 |
Published: |
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 |
Summary: | 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 |
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ISSN: | 1411-6669 2722-9866 |