PELABELAN ODD-GRACEFUL PADA GRAF PRODUK SISIR

Juan Daniel Departemen Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia
Zeveliano Zidane Barack Departemen Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia
Pandu Setya Ilham Departemen Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia
Kiki Ariyanti Sugeng Departemen Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia

DOI: https://doi.org/10.19184/mims.v22i1.30186

Abstract

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

Published

2022-03-13

How to Cite

DANIEL, Juan et al. PELABELAN ODD-GRACEFUL PADA GRAF PRODUK SISIR. Majalah Ilmiah Matematika dan Statistika, [S.l.], v. 22, n. 1, p. 30-42, mar. 2022. ISSN 2722-9866. Available at: <https://jurnal.unej.ac.id/index.php/MIMS/article/view/30186>. Date accessed: 26 apr. 2024. doi: https://doi.org/10.19184/mims.v22i1.30186.

Citation Formats

Issue

Vol 22 No 1 (2022): Majalah Ilmiah Matematika dan Statistika

Section

Articles

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