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In this paper, the embedding of m -polar fuzzy graphs which constructed on the surface of spheres is introduced. The m -polar fuzzy genus graphs with its genus value, strong and weak m -polar fuzzy genus graph are defined. Also isomorphism properties on m -polar fuzzy genus graph are discussed. The relation between planarity value and genus value of m -polar fuzzy graph is established. Euler polyhedral equation is established in terms of genus value of the m -polar fuzzy genus graph. Finally, an application of m -polar fuzzy genus graph is given in topological surface.
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Mandal et al. (2018) studied this question.
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