Majalah Ilmiah Matematika dan Statistika (Mar 2022)
PELABELAN ODD-GRACEFUL PADA GRAF PRODUK SISIR
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