On the entire Zagreb indices of the line graph and line cut-vertex graph of the subdivision graph

Let G = ( V , E ) be a graph. Then the first and second entire Zagreb indices of G are defined, respectively, as M ε 1 ( G ) = ∑ x ∈ V ( G ) ∪ E ( G ) ( d G ( x ) ) 2 and M ε 2 ( G ) = ∑ { x , y } ∈ B ( G ) d G ( x ) d G ( y ) , where B ( G ) denotes the set of all 2-element subsets { x , y } such that { x , y } ⊆ V ( G ) ∪ E ( G ) and members of { x , y } are adjacent or incident to each other. In this paper, we obtain the entire Zagreb indices of the line graph and line cut-vertex graph of the subdivision graph of the friendship graph