Zagreb Indices of Generalized Transformation of Fuzzy Graphs

Fuzzy graphs (FG) are an extension of crisp graphs, where the vertex and edge sets are defined using fuzzy sets. First and second Zagreb indices are well-known topological indices, which use the degree of vertices and edges set. Generalized transformation extends the idea of classical graph transformation by defining a transformation in terms of a mapping between the vertex set and a edge set of one graph to another. Motivated by these concepts, the generalized transformations are defined on fuzzy graphs. Further, the first and second Zagreb indices are defined and discussed on generalized transformation of fuzzy graphs. Also, the bounds for first and second Zagreb indices of generalized transformation of fuzzy graphs are established.