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A simple graph is said to be a vertex -graceful if there exists a vertex graceful labeling on the vertices of . A graceful labeling of is a vertex labeling be an injective mapping from to such that the edge labeling defined by is also injective. When
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Graph labeling can be mentioned as one of the most prominent research areas in graph theory and the history of graph labeling can be traced back to the 1960s as well. There is a quite number of graph labeling techniques such as graceful labeling, rad
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