Abstract:This manuscript is aimed to deal with the isomorphism properties of total fuzzy graph. In order to achieve the desired objective, we consider two fuzzy graphs and their total fuzzy graphs. For these total fuzzy graphs, the notion of homomorphism of total fuzzy graphs is defined and the existence of a homomorphism between these two total fuzzy graphs is shown by examples. This is achieved by both sketching their graph and verifying the condition of homomorphism. Having a mapping being a homomorphism of the tota… Show more
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