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The Allotment of a set of integers to vertices and edges of a graph satisfying certain conditions termed as labelling of a graph. It was introduced in the late 1960s by (5). The concept of magic labelling which is one of the many labellings itself has a variety. By fixing some natural number (here some atomic numbers) to the edges of F26A graph, it is proved to be a magic graph.

A mathematical model for apportionment and reapportionment using F26A graph and the magic labeling