A Study on $\alpha-$graceful Labeling of Spade Graph


Keywords:
Graceful graph, $\alpha-$graceful graph, path union of a graph $G$, open star of a graph $G$, spade graphAbstract
In this paper we have derived a new graph named spade graph. We have proved two copies of spade graph joined by an arbitrary path is $\alpha-$graceful, $n$ copies of spade graph joined by any vertex is $\alpha-$graceful, path union of $n$ copies of spade graph is $\alpha-$graceful and open star of finite copies of spade graph is also $\alpha-$graceful.
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