It was conjectured that for each simple graph G = (V , E) with n = |V (G)| vertices and m = |E(G)| edges, it holdsM2(G)/m â‰¥ M1(G)/n, whereM1 andM2 are the first and second Zagreb indices. Hansen andâ€¦ (More)

The classical first and second Zagreb indices of a graph G are defined as M1(G) = îµ± vâˆˆV dG(v) 2 and M2(G) = îµ± uvâˆˆE(G) dG(u) dG(v) , where dG(v) is the degree of the vertex v of graph G. Recently,â€¦ (More)

The first Zagreb index M1 is equal to the sum of the squares of the degrees of the vertices, and the second Zagreb index M2 is equal to the sum of the products of the degrees of pairs of adjacentâ€¦ (More)