A Unified Approach to Extrernal Graphs for Different Indices

In this paper, we first introduce a linear program on graphical invariant of graph G. As a application, we attain the extremal graphs with lower bound on the first Zagreb index M-1 (G), the second Zagreb index M-2 (G), their multiplicative versions Pi(1)* (G), Pi(2)(G) and atom-bond connectivity ABC(G), respectively.