Maximal Augmented Zagreb index of trees with at most three branching vertices

The Augmented Zagreb index of a graph G is defined to be AZI(G)=∑uv∈E(G)(d(u)d(v)d(u)+d(v)−2)3 , where E(G) is the edge set of G , d(u) and d(v) are the degrees of the vertices u and v of edge uv . It is one of the most valuable topological indices used to predict the structure-property correlations...