Edge a-Zagreb Indices and its Coindices of Transformation Graphs

The edge a-Zagreb index and its coindex are defined as Za(G)=∑uv∈E(G)(da(u)+d(v)) and Z‾a(G)=∑uv∉E(G)(da(u)+da(v)). In this paper, we obtain the exact expressions for the edge a-Zagreb indices and its coindices of two different transformation of graphs and their complements. Using the results obtained here, the value of F-index and its coindex for above transformation graphs are obtained.