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Graph labeling is one of the fascinating areas of graph theory with wide ranging applications. Graph labelings were first introduced in the 1960 s where the vertices and edges are assigned real values or subsets of a set subject to certain conditions. An enormous body of literature has grown around graph labeling in the last five decades. Labeled graphs provide mathematical models for a broad range of applications. The qualitative labelings of a graph element have been used in diverse fields such... Mehr