Juan Daniel, Zeveliano Zidane Barack, Pandu Setya Ilham, K. A. Sugeng
{"title":"PELABELAN ODD-GRACEFUL PADA GRAF PRODUK SISIR","authors":"Juan Daniel, Zeveliano Zidane Barack, Pandu Setya Ilham, K. A. Sugeng","doi":"10.19184/mims.v22i1.30186","DOIUrl":null,"url":null,"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, cycleMSC 2020: 05C78","PeriodicalId":264607,"journal":{"name":"Majalah Ilmiah Matematika dan Statistika","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Majalah Ilmiah Matematika dan Statistika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.19184/mims.v22i1.30186","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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, cycleMSC 2020: 05C78
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