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Embedding and Genus of Intuitionistic Fuzzy Graphs on Spheres
Sankar Sahoo, Ganesh Ghorai and Madhumangal Pal

In this paper, the embedding of intuitionistic fuzzy graphs which are constructed on the surface of spheres is introduced. The intuitionistic fuzzy genus graph with its genus value, strong and weak intuitionistic fuzzy genus graph are defined. The isomorphism properties on intuitionistic fuzzy genus graph are discussed. The relation between planarity value and genus value of an intuitionistic fuzzy graph is established. Also, Euler polyhedral equation is established in terms of genus value of the intuitionistic fuzzy genus graph. Finally, an application of intuitionistic fuzzy genus graph is given in topological surface.

Keywords: Intuitionistic fuzzy graphs; graph embedding; genus value; strong and weak genus value.

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