PELABELAN ODD-GRACEFUL PADA GRAF PRODUK SISIR

Authors

  • 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

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Published

2022-03-13

Issue

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

Section

Articles