A connected graph G is said to be a cactus if any two cycles have at most one vertex in common. The multiplicative sum Zagreb index of the product degrees adjacent vertices G. In this paper, we introduce several transformations that are useful tools for study extremal properties index. Using these and symmetric structural representations some graphs, determine graphs having maximal with prescri...

The first and second zagreb indices of a graph G are defined as M1(G) = ∑ uv∈E(G) [deg(u) + deg(v)] (or equivalently ∑ u∈V (G) [deg(u)2] and M2(G) = ∑ uv∈E(G) [deg(u)deg(v)] respectively. In this paper, we have obtained the first and second zagreb indices of the generalized complementary prisms Gm+n,Gm,n,G m,m and Gm,m. MSC: 05C15, 05C38.

In this paper, the edge a-Zagreb indices and its coindices of some graph operations, such as generalized hierarchical product, Cartesian Product, join, composition of two graphs are obtained. Using the results obtained here, we deduce the F -indices and its coindices for the above graph operation. Finally, we have computed the edge a-Zagreb Index, F -index and their coindices of some important ...

For a (molecular) graph, the first Zagreb index M1 is equal to the sum of squares of the vertex degrees, and the second Zagreb index M2 is equal to the sum of products of degrees of pairs of adjacent vertices. In this paper, we study the Zagreb indices of n-vertex connected graphs with k cut vertices, the upper bound for M1and M2-values of n-vertex connected graphs with k cut vertices are deter...