There have been some previous studies on graceful vertex labeling have been carried out. This study aims to determine the vertex graceful labeling on (6,8)-graph. (6,8)-graph is a graph that has 6 vertices and 8 edges. In this study, the research is limited to (6,8)-graph which is finitely connected. This design of this research is descriptive qualitative research, in form of literature study and the data analysis technique used is non-statistical data analysis technique. From the results of the study, it was found that among the twenty (6,8)-graphs which are not isomorphic, there are 10 graphs which are vertex graceful labeling, namely J1, J3, J4, J5, J8, J15, J16, J17, J18, and J19.
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